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Worksheets

HCF and LCM

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

List the first four multiples of 8.

a)

1, 2, 4, 8

b)

8, 16, 24, 32

c)

16, 24, 32, 40

d)

2, 4, 6, 8, 10

2.

2) Mrs. Evans has 120 crayons and 30 pieces of paper to give to her students. What is the largest number of students she can have in her class so that each student gets equal number of crayons and equal number of paper.

a)

120 students

b)

60 students

c)

30 students

3.

Four bells ring after 9,12 and 15 minutes respectively.If they ring together at 3pm together, when will they ring together again?

a)

4pm

b)

5pm

c)

6pm

d)

7pm

4.

Two bikers are riding a circular path. The first rider completes a round in 12 minutes. The second rider completes a round in 18 minutes. If they both started at the same place and time and go in the same direction, after how many minutes will they meet again at the starting point?

a)

4 minutes

b)

8 minutes

c)

12 minutes

d)

24 minutes

5.


 If N=2×102If\ N=2\times10^2  Find the smallest positive integer number M, such that MN is a Cube number

a)

4

b)

40

c)

5

d)

10

6.


  

 If N=4×105If\ N=4\times10^5  Find the smallest positive integer number M, such that MN is a Square number

a)

2

b)

10

c)

3

d)

5

7.

The HCF of 168 and N is 42,

Given that 200< N >300, Find two possible values of N

a)

210 , 294

b)

210,252

c)

220,290

d)

Non of the above

8.

Rosa is making a game board that is 16 inches by 24 inches. She wants to use square tiles. What is the larges tile she can ued?

a)

8

b)

16

c)

24

d)

48

9.

Ben exercises every 12 days and Isabel every 8 days. Ben and Isabel both exercised today. How many days will it be until they exercise together again?

a)

4

b)

6

c)

12

d)

24

10.

Find the LCM of 120 and 150.

a)

300

b)

360

c)

450

d)

600

11.

A number is expressed as

23 x 33 x 5.

What is the number?

a)

11

b)

72

c)

270

d)

1080

12.

17 is a PRIME NUMBER because it has just ___ factors: ___ and ___.

a)

2, 5, 7

b)

two, itself, 1

c)

2, 15, 2

d)

2, 8.5, 2

13.

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

14.

What is the greatest common factor of 24 and 36?

a)

2

b)

3

c)

12

d)

24

15.

Find the HCF of 32 and 80.

a)

8

b)

16

c)

24

d)

32

16.

Which number has a factor of 16?

a)

258

b)

112

c)

596

d)

452

17.

What is 720 as a product of its prime factors?

a)

24 x 32 x 5

b)

16 x 33 x 5

c)

23 x 42 x 3

d)

26 x 7

18.

What are all the 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

19.

Wha does HCF stand for?

a)

Highest common factor

b)

Highest core frequency

c)

Highest common frequency

d)

Highest core factor

20.

What does LCM stand for

a)

lowest common number

b)

lowest core number

c)

lowest core multiple

d)

lowest common multiple