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Worksheets

LCM and HCF

Total questions: 16

Worksheet time: 52mins

Name
Class
Date
1.
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
2.

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

3.

Find the HCF of 12 and 16...

a)

2

b)

4

c)

6

d)

8

4.

Find the LCM of 12 and 16...

a)

48

b)

36

c)

64

d)

96

5.

Find the HCF of 8 and 24 ...

a)

2

b)

4

c)

6

d)

8

6.

Find the LCM of 8 and 24 ...

a)

24

b)

48

c)

32

d)

64

7.

Find the LCM of 6 and 9...

a)

18

b)

30

c)

24

d)

36

8.

Find the LCM of 6 and 8...

a)

12

b)

16

c)

24

d)

36

9.

Find the HCF of 20 and 24

a)

6

b)

4

c)

5

d)

12

10.

What is the LCM for 5 and 6?

a)

30

b)

24

c)

42

d)

48

11.

What is the LCM for 7 and 8?

a)

42

b)

51

c)

56

d)

72

12.

Find the HCF of 21 and 28

a)

3

b)

4

c)

7

d)

14

13.

A carpenter got given some free wooden planks. Some are 12m long and some are 18m long. She wants to cut them up so that she has equal size planks to make using them easier. What size planks should she cut them into to avoid wasting any wood?

a)

HCF

b)

LCM

14.

Sophie checks her bike for repairs every 9 days and Susan check hers every 12 days. If they both check their bikes today, after how many days do they next both check their bike again?

a)

HCF

b)

LCM

15.

There are two loaf cakes. One is 35cm long and one is 21cm long. They want to cut the cake up and sell the slices, but all the slices must be equal. What is the largest slices that they can cut them into?

a)

HCF

b)

LCM

16.

Tom and Claire both like do short exercise that involve small breaks. Tom does a short burst of exercise every 2 minutes, and Claire does hers every 3 minutes. If they start doing their exercise at 9:00am, when do they both do their exercises again?

a)

HCF

b)

LCM