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Worksheets

LCM & GCF Practice Review

Total questions: 210

Worksheet time: 8hrs 45mins

Name
Class
Date
1.
Which set lists all the factors of 24?
a)
1, 2, 3, 6, 7, 12, 24
b)
1, 2, 3, 4, 6, 8, 12, 24
c)
1, 2, 3, 4, 5, 6, 8, 12, 24
d)
1, 3, 4, 6, 8, 24
2.
Which one is a multiple of 4?
a)
33
b)
22
c)
18
d)
24
3.
Which of these numbers is not prime?
a)
17
b)
25
c)
23
d)
37
4.
Which is not a factor of 18?
a)
7
b)
2
c)
3
d)
9
5.

Which of the following is prime?

a)

18

b)

19

c)

27

d)

45

6.
Which lists all the factors of 20?
a)
1, 2, 4, 5, 10, 20
b)
1, 2, 5, 10, 20
c)
1, 4, 5, 20
d)
1, 2, 10, 20
7.
2 x 2 x 2  or 2is the prime factorization of
a)
6
b)
12
c)
22
d)
8
8.
GCF of 8 and 20
a)
8
b)
2
c)
4
d)
10
9.
What is the least common multiple (LCM) of 6 and 8?
a)
6
b)
8
c)
48
d)
24
10.

Create a factor tree and find the prime factorization for 80

a)

24⋅5

b)

42⋅5

c)

2⋅2⋅2

d)

8⋅5⋅2

11.
Use a number tree to find the prime factorization of 48
a)
4x2x6
b)
4x22x3
c)
3x24
d)
12x4
12.
Composite numbers:
a)
Are always bigger than prime numbers
b)
Have more than 2 factors
c)
Have 2 pairs of factors
d)
Don't have factors
13.
Which list has only prime numbers?
a)
2, 3, 4, 5
b)
1, 5, 7, 9
c)
2, 3, 5, 7
d)
2, 4, 6, 8
14.

One is

a)

prime

b)

composite

c)

not prime or composite

d)

the loneliest number

15.
What are the prime factors of 30? 
a)
3, 2, 5 
b)
1, 2, 3, 5, 6, 15, 30
c)
3, 30
d)
10, 3
16.

Prime Numbers have

a)

many factors.

b)

only 3 factors.

c)

only two factors, itself and 1.

d)

only 4 factors.

17.

A number is divisible by 2 if:

a)

the sum of its digits is divisible by 2.

b)

it ends in a 0.

c)

it is an even number (ends in a 0,2,4,6,8)

d)

it ends in a 0 or 5.

18.

A number is divisible by 5 if:

a)

the sum of its digits is divisible by 3.

b)

it ends in a 0.

c)

it is an even number (ends in a 0,2,4,6,8)

d)

it ends in a 0 or 5.

19.

Which prime factorization represents the number 18.

a)

2 x 2 x 2

b)

2 x 3 x 3

c)

2 x 2 x 3 x 3

d)

2 x 2 x 2 x 2 x 2

20.

What is the LCM of 4 and 18?

a)

18

b)

36

c)

4

d)

108

21.

What is the GCF of 18 and 12?

a)

3

b)

24

c)

6

d)

12

22.
What must you have to add and subtract fractions?
a)
Common numerators
b)
Different numerators
c)
Different denominators
d)
Common denominators
23.
The multiples of 7 are
1,6,7,9,3,6,4
a)
True
b)
False
24.

Does the Least Common Multiple become the Least Common Denominator?

a)

Yes

b)

No

25.
Which of the following is a multiple of 7?
a)
28
b)
48
c)
71
d)
45
26.
Which one is a multiple of 4?
a)
33
b)
22
c)
18
d)
24
27.
Find the Least Common Multiple of 9 and 6
a)
18
b)
36
c)
3
d)
5
28.
What is the LCM of 3 and 4? 
a)
4
b)
16
c)
12
d)
24
29.
What is the LCM of 7 and 8? 
a)
7
b)
8
c)
42
d)
56
30.
Find the LCM of 6 and 24. 
a)
6
b)
12
c)
24
d)
3
31.
What number could be a common denominator for these two fractions?
2/3   and   3/4
a)
3
b)
4
c)
7
d)
12
32.
What number could be a common denominator for these two fractions?
1/5   and   5/6?
a)
30
b)
11
c)
6
d)
5
33.
What is the least common multiple (LCM) of 8 and 5?
a)
50
b)
40
c)
5
d)
8
34.
What is the LCM of 4 and 12? 
a)
4
b)
8
c)
12
d)
16
35.
Fill in the missing multiple.
3:  3, 6, 9, ___, 15, 18, 21
a)
10
b)
11
c)
12
d)
13
36.
Which number is a multiple of 5?
a)
16
b)
29
c)
40
d)
32
37.
What is the least common multiple (LCM) of 4 and 10?
a)
4
b)
40
c)
15
d)
20
38.

What is the LCM of 5 and 17?

a)

85

b)

5

c)

3

d)

75

39.

What is the LCM of 2 and 14?

a)

28

b)

7

c)

14

d)

2

40.

What is the LCM of 15 and 30?

a)

5

b)

3

c)

30

d)

15

41.

What is the LCM of 6 and 15?

a)

15

b)

30

c)

3

d)

10

42.

What is the LCM of 4 and 6?

a)

12

b)

6

c)

2

d)

24

43.

What is the LCM of 7 and 14?

a)

14

b)

7

c)

2

d)

28

44.

What is the LCM of 3 and 19?

a)

19

b)

6

c)

3

d)

57

45.

What is the LCM of 2 and 7?

a)

14

b)

7

c)

2

d)

1

46.

What is the LCM of 6 and 16

a)

2

b)

48

c)

24

d)

8

47.

What is the LCM of 18 and 20?

a)

2

b)

10

c)

90

d)

180

48.

BONUS: What is the LCM of 4,8, and 28?

a)

4

b)

56

c)

14

d)

28

49.
What is the LCM?
a)
The LCM is the least common factor that both numbers share the least. 
b)
The LCM is a multiple that both numbers share the most.  
c)
The LCM is a multiple that both numbers share the least. 
d)
The LCM is a factor that both numbers share the least. 
50.
Find the Least Common Multiple of 9 and 6
a)
18
b)
36
c)
38
d)
72
51.

Milo has listed the first 4 multiples of 7 as:

7 14 22 28

Which one is incorrect?

a)

7

b)

14

c)

22

d)

28

52.
Henry and Margo both began traveling around a circular track. Henry is riding his bike, and Margo is walking. It takes Henry 7 minutes to make it all the way around, and Margo takes 12 minutes. How much time will pass until they meet at the starting line?
a)
84 minutes
b)
48 minutes
c)
854 minutes
d)
78 minutes
53.

Multiples that are shared by two or more numbers are

(a)  

54.

Two students were asked to find the LCM of 6 and 8. Student A said that the LCM of 6 and 8 is 48. Student B said that the LCM of 6 and 8 is 24. Student C said that the LCM of 6 and 8 is 72. Which student is correct?

a)

Student A is correct because in order to find the LCM of two numbers you must multiply both numbers together.

b)

Student B is correct because in order to find the LCM of two numbers you must find the smallest common multiple of two numbers.

c)

Student C is correct because in order to find the LCM of two numbers you must find the LCM of two numbers you must select the third common multiple of both numbers.

d)

None of the students are correct.

55.

The L.CM. of 2 and 12 is

(a)  

56.

You are watching a parade and observe cars going by in groups of 4 blue cars and 6 green cars at a time. If you observe the same number of blue and green cars, what is the smallest number of each car you could have observed?

a)

2 cars

b)

12 cars

c)

24 cars

d)

8 cars

57.

Is this statement always, sometimes, or never true? The LCM of two numbers is the product of the two numbers.

a)

Always

b)

Sometimes

c)

Never True

58.

Identify all the multiples of 8....

a)

42

b)

56

c)

72

d)

96

e)

30

59.

What is the LCM of 3 and 9?

a)

27

b)

18

c)

36

d)

9

60.

Rate your understanding of the lesson target. Lesson target: Find the least common multiple of two numbers.

a)

I can do this ! I'm ready to move on or explain to a friend.

b)

I'm almost there! I may need more practice or help.

c)

I don't understand. I need more work or help on this.

61.
Which of the following numbers is a factor of 6?
a)
12
b)
2
c)
8
d)
10
62.
Which lists all the factors of 15?
a)
1, 7, 8, 15
b)
1, 15
c)
1, 3, 5, 15
d)
3, 5, 15
63.
Which set lists all the factors of 24?
a)
1, 2, 3, 6, 7, 12, 24
b)
1, 2, 3, 4, 6, 8, 12, 24
c)
1, 2, 3, 4, 5, 6, 8, 12, 24
d)
1, 3, 4, 6, 8, 24
64.
Which of the following is a factor of 8?
a)
3
b)
5
c)
4
d)
7
65.
Which lists all the factors of 20?
a)
1, 2, 4, 5, 10, 20
b)
1, 2, 5, 10, 20
c)
1, 4, 5, 20
d)
1, 2, 10, 20
66.
Which is not a factor of 21?
a)
1
b)
3
c)
6
d)
7
67.
Which number is a factor of 27?
a)
7
b)
8
c)
9
d)
5
68.
Which are the factors of 14?
a)
1,14
b)
1, 2, 7, 14
c)
2, 7
69.
Which number has 2 as a factor?
a)
13
b)
21
c)
26
d)
33
70.
Which number is a factor of all numbers?
a)
5
b)
10
c)
0
d)
1
71.

Pick the ALL the pairs of factors for the number:

24

a)

2 x 12

b)

3 x 8

c)

4 x 6     

d)

5 x 3

72.

Pick the ALL the pairs of factors for the number:

36

a)

2 x 18    

b)

4 x 9 

c)

6 x 6

d)

3 x 12

73.

Pick the ALL the pairs of factors for the number:

48

a)

2 x 24

b)

3 x 16

c)

4 x 12

d)

6 x 8

74.

Pick the ALL the pairs of factors for the number:

54

a)

2 x 27

b)

6 x 9 

c)

4 x 12

d)

3 x 18 

75.

Pick the ALL the pairs of factors for the number:

64

a)

8 x 8

b)

6 x 9 

c)

4 x 16  

d)

2 x 32 

76.

Pick the ALL the pairs of factors for the number:

56

a)

2 x 28

b)

4 x 14 

c)

8 x 7 

d)

3 x 28

77.

Pick the ALL the pairs of factors for the number:

42

a)

2 x 21

b)

6 x 7  

c)

8 x 7 

d)

3 x 28

78.

1, 2, 3 and 6 are factors of 6.

a)

True

b)

False

79.

List the first (4) multiples of 8

a)

1, 2, 4, 8

b)

8, 16, 24, 32

80.

Which of the following shows the multiples of 12?

a)

12, 22, 53, 60

b)

4, 8, 12, 16, 24

c)

12, 24, 36, 48, 60

81.
Which number is a multiple of 5?
a)
16
b)
29
c)
40
d)
32
82.
What is a factor?
a)
a factor is when you divide two numbers to get another number
b)
a whole number that multiplies with another factor to get the whole number product
c)
a factor the answer to a multiplication problem
d)
the same as a multiple
83.
A prime number
a)
has one factor
b)
has more than 2 factors
c)
has 100 factors
d)
has exactly 2 factors: 1 and the number
84.
A composite number
a)
has more than 2 factors
b)
has one factor
c)
has at least 10 factors
d)
is always a really big number
85.

Find ALL FACTORS of 24

a)

1, 2, 12, 24

b)

1, 2, 8, 24

c)

1, 2, 3, 4, 5, 6, 8, 12, 24

d)

1, 2, 3, 4, 6, 8, 12, 24

86.
Which number is a factor of 10
a)
3
b)
4
c)
5
d)
8
87.
Which number is a factor of 18
a)
4
b)
7
c)
6
d)
12
88.
Which number is a factor of 42?
a)
7
b)
5
c)
4
d)
8
89.
Which number is a factor of 23?
a)
8
b)
4
c)
3
d)
1
90.
Which lists all the factors of 15?
a)
1, 7, 8, 15
b)
1, 15
c)
1, 3, 5, 15
d)
3, 5, 15
91.

Is 10 a factor of 20?

a)

yes

b)

no

92.

Is 4 a factor of 30?

a)

yes

b)

no

93.

Is 7 a factor of 40?

a)

yes

b)

no

94.

Is 6 a factor of 48?

a)

yes

b)

no

95.

Is 3 a factor of 39?

a)

yes

b)

no

96.

Is 13 a factor of 39?

a)

yes

b)

no

97.

Is 4 a factor of 14?

a)

yes

b)

no

98.

Is 2 a factor of 15?

a)

yes

b)

no

99.

Is 6 a factor of 14?

a)

yes

b)

no

100.

Is 8 a factor of 24?

a)

yes

b)

no

101.
Which number is a factor of 36?
a)
8
b)
5
c)
9
d)
7
102.
Which are the factors of 14?
a)
1,14
b)
1, 2, 7, 14
c)
2, 7
103.
Which are the factors of 24?
a)
1, 2, 3, 8, 12, 24
b)
2, 3, 4, 6, 8, 12
c)
1, 2, 3, 4, 6, 8, 12, 24
104.
Which are the factors of 32?
a)
1, 2, 4, 8, 16, 32
b)
1, 32, 4, 8
c)
1, 16, 2, 32
105.
Which number has 2 as a factor?
a)
13
b)
21
c)
26
d)
33
106.
Which is a factor of 12?
a)
24
b)
5
c)
3
d)
0.3
107.
Which is a factor of 15?
a)
2
b)
3
c)
4
d)
6
108.
Which number is a factor of 10
a)
3
b)
4
c)
5
d)
8
109.
Which number is a factor of 18
a)
4
b)
7
c)
6
d)
12
110.
Which number is a factor of 21
a)
8
b)
9
c)
6
d)
3
111.
Which number is a factor of 24
a)
9
b)
7
c)
11
d)
12
112.
Which number is a factor of 7?
a)
3
b)
4
c)
6
d)
7
113.
Which number is a factor of 16
a)
7
b)
6
c)
9
d)
4
114.
Which number is a factor of 15
a)
4
b)
3
c)
9
d)
8
115.
Which number is a factor of 27?
a)
7
b)
8
c)
9
d)
5
116.
Which number is a factor of 56?
a)
7
b)
6
c)
9
d)
5
117.
Which are the factors of 14?
a)
1,14
b)
1, 2, 7, 14
c)
2, 7
118.
Which number has 2 as a factor?
a)
13
b)
21
c)
26
d)
33
119.
Which number is a factor of 10
a)
3
b)
4
c)
5
d)
8
120.
Which is a NOT a factor of 9?
a)
0
b)
1
c)
3
d)
9
121.
Is 3 a factor of 12?
a)
yes
b)
no
122.

Is 5 a factor of 32?

a)

yes

b)

no

123.

is 5 a factor of 45?

a)

yes

b)

no

124.

Is 4 a factor of 44?

a)

yes

b)

no

125.

Is 4 a factor of 30?

a)

yes

b)

no

126.

Is 10 a factor of 20?

a)

yes

b)

no

127.

Is 5 a factor of 25?

a)

yes

b)

no

128.

Is 6 a factor of 28?

a)

yes

b)

no

129.

Is 6 a factor of 48?

a)

yes

b)

no

130.

Is 7 a factor of 40?

a)

yes

b)

no

131.

Is 13 a factor of 39?

a)

yes

b)

no

132.

Is 3 a factor of 39?

a)

yes

b)

no

133.

Is 3 a factor of 35?

a)

yes

b)

no

134.

Is 7 a factor of 35?

a)

yes

b)

no

135.

Is 7 a factor of 42?

a)

yes

b)

no

136.

Is 4 a factor of 14?

a)

yes

b)

no

137.

Is 2 a factor of 15?

a)

yes

b)

no

138.

Is 12 a factor of 24?

a)

yes

b)

no

139.

Is 6 a factor of 14?

a)

yes

b)

no

140.

Is 6 a factor of 15?

a)

yes

b)

no

141.

Is 8 a factor of 24?

a)

yes

b)

no

142.
GCF of: 
14 and 20
a)
7
b)
28
c)
2
d)
6
143.
Find the LCM of 18 and 24
a)
6
b)
72
c)
24
d)
5
144.
What is the least common multiple (LCM) of 4 and 10?
a)
4
b)
40
c)
15
d)
20
145.
Find the GCF of 12 and 6. 
a)
1
b)
6
c)
2
d)
3
146.
What is the least common multiple (LCM) of 8 and 5?
a)
50
b)
40
c)
5
d)
8
147.
GCF 24 and 36
a)
8
b)
6
c)
12
d)
4
148.
GCF of 32 and 40
a)
2
b)
4
c)
6
d)
8
149.
Find the LCM of each set of numbers.
8, 12 
a)
48
b)
24
c)
76
d)
96
150.
Find the LCM of each set of numbers. 
5, 10, 15 
a)
50
b)
30
c)
90
d)
150
151.
GCF (25, 15)
a)
5
b)
10
c)
15
d)
20
152.
LCM (9, 12)
a)
9
b)
36
c)
12
d)
3
153.
Sara had 16 red flowers and 24 yellow flowers.  She wants to make bouquets with the same number of each color flower in each bouquet.  What is the greatest number of bouquets that she can make?
a)
4
b)
2
c)
48
d)
8
154.
Two clocks are turned on at the same time. One clock chimes every 15 minutes. The other clock chimes every 25 minutes. In how many minutes will they chime together?
a)
55 minutes
b)
25 minutes
c)
60 minutes
d)
75 minutes
155.
You have a set of 12 hearts, 16 diamonds, and 20 clubs that need to be put into equal groups.  Each group must be made up of the same number of hearts, diamonds, and clubs.  What is the greatest number of groups that can be made?
a)
6 groups
b)
2 groups
c)
4 groups
156.

Find the GCF (Greatest Common Factor) of 50 and 40.

a)

5

b)

2

c)

10

d)

8

157.
What is the least common multiple (LCM) of 6 and 8?
a)
6
b)
8
c)
48
d)
24
158.

What is the LCM (Least Common Multiple) of 4 and 10?

a)

4

b)

40

c)

15

d)

20

159.

What is the GCF (Greatest Common Factor) of 12 and 6?

a)

1

b)

6

c)

2

d)

3

160.

Find the LCM (Least Common Multiple) of 3 and 5.

a)

15

b)

20

c)

30

d)

33

161.

Find the GCF (Greatest Common Factor) of 50 and 40.

a)

5

b)

2

c)

10

d)

8

162.

What is the LCM (Least Common Multiple) of 8 and 12?

a)

48

b)

24

c)

76

d)

96

163.

What is the GCF (Greatest Common Factor) of 12 and 30?

a)

4

b)

2

c)

5

d)

6

164.

Find the LCM (Least Common Multiple) of 18 and 24.

a)

6

b)

72

c)

24

d)

5

165.

Find the GCF (Greatest Common Factor) of 64 and 144.

a)

8

b)

6

c)

16

d)

2

166.

What is the LCM (Least Common Multiple) of 8 and 5?

a)

50

b)

40

c)

5

d)

8

167.

What is the GCF (Greatest Common Factor) of 25 and 15?

a)

5

b)

10

c)

15

d)

20

168.

What is the GCF of 18 and 24?

a)

3

b)

6

c)

8

d)

9

169.
What is the GCF of 4 and 12?
a)
3
b)
1
c)
6
d)
4
170.
What is the greatest factor of 28 and 49?
a)
1
b)
2
c)
7
d)
12
171.
What is the GCF of 20 and 30?
a)
5
b)
2
c)
10
d)
20
172.
What does GCF stand for?
a)
Good Cold Flu
b)
Gaussian Coefficient Formula
c)
Given Clear Function
d)
Greatest Common Factor
173.
GCF of 28 and 40
a)
2
b)
4
c)
7
d)
8
174.
Which of the choices is not a factor of 24?
a)
2
b)
3
c)
4
d)
5
175.
What is the GCF of 20 and 30?
a)
5
b)
2
c)
10
d)
20
176.
GCF of 15 and 35
a)
15
b)
3
c)
7
d)
5
177.
Which number is not a factor of 24?
a)
6
b)
8
c)
3
d)
14
178.
Which number is a factor of 6?
a)
12
b)
2
c)
8
d)
10
179.
Which set of numbers show all the factors for 15?
a)
7, 8
b)
1, 15
c)
1, 3, 5, 15
d)
3, 5, 15
180.
What is the greatest common factor of 6 and 21?
a)
6
b)
2
c)
3
d)
7
181.
GCF of 10 and 50
a)
10
b)
2
c)
5
d)
50
182.
GCF of 5 and 35
a)
7
b)
5
c)
2
d)
35
183.
GCF of 8 and 20
a)
8
b)
2
c)
4
d)
10
184.
GCF of 15 and 35
a)
15
b)
3
c)
7
d)
5
185.
GCF of 10 and 75
a)
5
b)
10
c)
2
d)
25
186.
GCF 15 and 33
a)
15
b)
3
c)
11
d)
5
187.
GCF of 12 and 28
a)
3
b)
6
c)
2
d)
4
188.
GCF of 16 and 40
a)
4
b)
8
c)
2
d)
10
189.
GCF of 35 and 49
a)
5
b)
3
c)
7
d)
4
190.
GCF of 36 and 99
a)
9
b)
6
c)
11
d)
4
191.
What is the GCF of 4 and 12?
a)
3
b)
1
c)
6
d)
4
192.
Which pair of numbers has a GCF of 1?
a)
51 and 17
b)
20 and 9 
c)
24 and 27
d)
14 and 44
193.
Find the LCM of 12 and 6. 
a)
6
b)
12
c)
2
d)
1
194.
What is the GCF of 18 and 24?
a)
3
b)
6
c)
8
d)
9
195.
Which is a NOT a factor of 9?
a)
0
b)
1
c)
3
d)
9
196.
GCF of 10 and 50
a)
10
b)
2
c)
5
d)
50
197.
GCF of 5 and 35
a)
7
b)
5
c)
2
d)
35
198.
GCF of 8 and 20
a)
8
b)
2
c)
4
d)
10
199.
GCF of 15 and 35
a)
15
b)
3
c)
7
d)
5
200.
GCF of 10 and 75
a)
5
b)
10
c)
2
d)
25
201.
GCF 15 and 33
a)
15
b)
3
c)
11
d)
5
202.
GCF of 12 and 28
a)
3
b)
6
c)
2
d)
4
203.
GCF of 16 and 40
a)
4
b)
8
c)
2
d)
10
204.
GCF of 35 and 49
a)
5
b)
3
c)
7
d)
4
205.
GCF of 36 and 99
a)
9
b)
6
c)
11
d)
4
206.
What is the GCF of 4 and 12?
a)
3
b)
1
c)
6
d)
4
207.
Which pair of numbers has a GCF of 1?
a)
51 and 17
b)
20 and 9 
c)
24 and 27
d)
14 and 44
208.
Find the LCM of 12 and 6. 
a)
6
b)
12
c)
2
d)
1
209.
What is the GCF of 18 and 24?
a)
3
b)
6
c)
8
d)
9
210.
Which is a NOT a factor of 9?
a)
0
b)
1
c)
3
d)
9