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Worksheets

LCM and HCF

Total questions: 45

Worksheet time: 4hrs 44mins

Name
Class
Date
1.

Which number is a factor of 10

a)

3

b)

4

c)

5

d)

8

2.
List the first 5 multiples of 3
a)
3, 6 10, 15, 20
b)
1, 3
c)
3, 6, 9, 12, 15
d)
6, 9, 12, 15, 18
3.
A prime number is...
a)
a number that has only one factor.
b)
a number that has at least two factors.
c)
a number that has more than two factors.
d)
a number that has only two factors.
(1 and itself)
4.
Which one is a multiple of 4?
a)
33
b)
22
c)
18
d)
24
5.
Joe 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
6.
Find the HCF of 21 and 28
a)
3
b)
4
c)
7
d)
14
7.
What is the LCM of 4 and 12? 
a)
4
b)
8
c)
12
d)
16
8.
Find the HCF of 12 and 15 ?
a)
2
b)
2 x 3
c)
3
d)
60
9.
Find the HCF of 40 and 60?
a)
10
b)
20
c)
30
d)
None of the above
10.
What is the LCM of 6 and 8 ?
a)
12
b)
18
c)
24
d)
36
11.
Find the HCF of 30 and 36
a)
2
b)
3
c)
4
d)
6
12.

Which answer lists all the factors for 40?

a)

1,2,4,5,8,12,14,40

b)

1,2,3,4,5,8,10

c)

1,2,4,5,8,10,20,40

d)

1,2,4,5,6,7,8,9,10

13.
Which number is a multiple of 8? 
a)
2
b)
4
c)
48
d)
46
14.

What are the next three multiples? 6, 12, 18, ___ ,___ ,___

a)

24, 30, 34

b)

24, 36, 42

c)

24, 30, 36

d)

22, 28, 34

15.

Which is a factor pair of 24?

a)

2,12

b)

3,5

c)

7,6

d)

8,5

16.

Which are factor pairs of 45?

a)

1,45,5,9

b)

1,3,7,9

c)

5,7,8,9

d)

7,9,5,2

17.

15

a)

Prime

b)

Composite

18.

2

a)

Prime

b)

Composite

19.

Find the HCF of 12 and 16...

a)

2

b)

4

c)

6

d)

8

20.

Find the LCM of 12 and 16...

a)

48

b)

36

c)

64

d)

96

21.

Find the HCF of 20 and 24

a)

6

b)

4

c)

5

d)

12

22.

Find the HCF of 30 and 25

a)

5

b)

6

c)

10

d)

15

23.

Which one is NOT prime number?

a)

97

b)

89

c)

127

d)

95

24.

What are the factors of 25?

a)

1,2,5,10

b)

1,2,5,25

c)

1,5,25

d)

3,5,15,25

25.

What is the HCF of 18 and 12?

a)

6

b)

2

c)

12

d)

3

26.

What is the HCF of 4 and 10?

a)

4

b)

2

c)

5

d)

12

27.

What is HCF of 21 and 42?

a)

7

b)

3

c)

42

d)

21

28.

What is HCF of 28 and 35?

a)

5

b)

6

c)

7

d)

8

29.

The 8th multiples for 64 is...

a)

132

b)

220

c)

512

d)

640

30.

What is the LCM for 5 and 6?

a)

30

b)

24

c)

42

d)

48

31.

Click to the LCM for 7 and 10

a)

7

b)

10

c)

70

d)

No answer

32.

Write 36 as the product of it's prime factors...

a)

2 x 2 x 3 x 3

b)

2 x 2 x 2 x 3

c)

22 x 32

d)

22 x 3

33.

Write 135 as the product of it's prime factors...


Write your answer in index form...

a)

32 x 52

b)

33 x 5

c)

3 x 3 x 3 x 5

d)

3 x 3 x 5 x 5

34.

Write 80 as the product of it's prime factors...


Write your answer in index form...

a)

24 x 5

b)

2 x 2 x 2 x 5 x 5

c)

2 x 2 x 2 x 2 x 5

d)

23 x 52

35.

A common factor of two integers is always a ____________ of their HCF.

a)

multiple

b)

factor

c)

(no answer)

36.

A common multiple of two integers is always a ____________ of their LCM.

a)

multiple

b)

factor

c)

(no answer)

37.

What is the LCM of 2, 4, 6?

a)

6

b)

12

c)

4

d)

2

38.

There are two positive integers, a and b. Given that their HCF is 15. Which of the followings cannot be their LCM?

a)

105

b)

225

c)

125

d)

195

39.

There are two positive integers, a and b. Which statement is always true?

a)

a x b = LCM(a,b) x HCF(a,b)

b)

a x b > LCM(a,b) x HCF(a,b)

c)

a x b < LCM(a,b) x HCF(a,b)

d)

(a x b)^2 = LCM(a,b) x HCF(a,b)

40.

express 96 as products of their prime factors

a)

2x2x2x2x2x3

b)

3x3x3x2x2x2

c)

5x2x3x2x3x9

d)

7x5x3x2x3x3

41.

express the 60 as products of their prime factors

a)

3x3x2x5

b)

5x5x3x2

c)

2x2x2x2

d)

2x2x3x5

42.

Find the HCF for 18, 36, and 81

a)

3

b)

2

c)

6

d)

9

43.

Which shows the prime factorization of 84?

a)

2×2×3×72\times2\times3\times7

b)

2×2×3×3×72\times2\times3\times3\times7

c)

4×214\times21

d)

7×217\times21

44.

FIND THE SMALLEST FOUR DIGIT NUMBER WHICH IS DIVISIBLE BY 18,24 AND 32

a)

1173

b)

1152

c)

1143

d)

1147

45.

THE LENGTH ,BREADHT AND HEGIHT OF ROOM ARE 6M80CM, 5M10M, AND 3M 40CM RESPECTIVLY FIND THE LONGEST TAPE WHICH CAN MEASURE THE DIMESIONS OF THE ROOM EXCATLY

a)

2M 80 CM

b)

1M 60CM

c)

1M 30CM

d)

1M 70CM