wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

LCM and HCF

Total questions: 50

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

1 x 4

2 x 2

Shows that the factors of 4 are:

1 ; 2 and 4

a)

True

b)

False

2.

1 x 4

2 x 4

Show that the multiples are 4 are

1 ; 2 and 4

a)

True

b)

False

3.

The following numbers show multiples of 3

3 ; 9 ; 12 ; 15 ; 18 ; 21

a)

True

b)

False

4.

The following numbers show factors of 3

3 ; 9 ; 12 ; 15 ; 18 ; 21

a)

True

b)

False

5.

Which list of numbers show multiples of 8

a)

24 ; 32 ; 40 ; 48 ; 56

b)

1 ; 2 ; 4 ; 8

6.

Which list of numbers show factors of 8

a)

1 ; 2 ; 4 ; 8

b)

8 ; 16 ; 24 ; 32 ; 40

7.

Compare the list multiples of these numbers:


4 = 4; 8; 12; 16; 20; 24; 28; 32; 36; 40

6 = 6; 12; 18; 24; 30; 36; 42; 48; 54; 60

8 = 8; 16; 24; 32; 40; 48; 56; 64; 72; 80


What is the LOWEST common multiple?

(a)  

8.

Compare the list multiples of these numbers:


3 = 3; 6; 9; 12; 15; 18; 21; 24; 27; 30

6 = 6; 12; 18; 24; 30; 36; 42; 48; 54; 60

9 = 9; 18; 27; 28; 45; 54; 63; 72; 81; 90


What is the LOWEST common multiple?

(a)  

9.

Compare the multiplication facts for each number below:


16 = 1x16 ; 2x8; 4x4

20 = 1x20 ; 2x10; 4x5

24 = 1x24; 2x12; 3x8; 4x6


Use these multiplication facts to work out the

HIGHEST common factor.

(a)  

10.

Compare the multiplication facts for each number below:


15 = 1x15 ; 3x5

25 = 1x25 ; 5x5

35 = 1x35; 5x7


Use these multiplication facts to work out the

HIGHEST common factor.

(a)  

11.

The following multiplication facts show the factors of the 12


12 = 2x6; 1x12; 3x4


Write a list of factors of 12 in ascending order.


(REMEMBER: to put a ; between your numbers)

(a)  

12.

The following multiplication facts show the factors of the 48


48 = 2x24; 8x6; 3x16; 1x48; 4x12


Write a list of factors of 48 in ascending order.


(REMEMBER: to put a ; between your numbers)

(a)  

13.

The following multiplication facts show the factors of the 32


32 = 1x32; 2x16; 4x8


Write a list of factors of 32 in ascending order.


(REMEMBER: to put a ; between your numbers)

(a)  

14.

Write a list of the first three multiples of 5.


(REMEMBER: to put a ; between your numbers)

(a)  

15.

Write a list of the first three multiples of 7.


(REMEMBER: to put a ; between your numbers)

(a)  

16.

Write a list of the first three multiples of 9.


(REMEMBER: to put a ; between your numbers)

(a)  

17.

Select the list of multiples which show the 8th; 9th and 10th multiple of 6.

a)

48;54;60

b)

12;18;24

18.

Select the ascending list of factors for 40.

a)

1x40; 2x20; 4x10; 5x8

b)

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

19.

Select the ascending list of factors for 100.

a)

1x100; 2x50; 4x25; 5x20; 10x10

b)

1;2;4;5;10;20;25;50;100

20.

Select the multiplication facts for 8.

a)

1x8; 2x4

b)

1;2;4;8

21.

Select the multiplication facts for 44.

a)

1x44; 2x22; 4x11

b)

1;2;11;22;44

22.

Look carefully at the division facts for 12.

12 \div  12 = 1                                 12 \div  6 = 2
12 \div  4 = 3                                   12 \div  3 = 4
12 \div  2 = 6                                   12 \div  1 = 12

Using the information above. List the factors of 12 in ascending order.
(Remember to use   ;   between your numbers)

(a)  

23.

Look carefully at the division facts for 12.


20 ÷ 20 = 1 20 ÷ 1 = 20


20 ÷ 5 = 4 20 ÷ 4 = 5


20 ÷ 10 = 10


Using the information above. List the factors of 20 in ascending order.

(Remember to use ; between your numbers)

(a)  

24.

24 ÷ 24 = 1 24 ÷ 1 = 24


24 ÷ 12 = 2 24 ÷ 2 = 12


24 ÷ 8 = 3 24 ÷ 3 = 8


24 ÷ 6 = 4 24 ÷ 4 = 6


Using the information above. List the factors of 24 in ascending order.

(Remember to use ; between your numbers)

(a)  

25.

Think about the numbers below:


5 and 6


What is the LOWEST common multiple of these numbers?

(What is the smallest multiple which these numbers share?)

(a)  

26.

Think about the numbers below:


4 and 8


What is the LOWEST common multiple of these numbers?

(What is the smallest multiple which these numbers share?)

(a)  

27.

Think about the numbers below:


10 and 12


What is the LOWEST common multiple of these numbers?

(What is the smallest multiple which these numbers share?)

(a)  

28.

Think about the numbers below:


7 and 11


What is the LOWEST common multiple of these numbers?

(What is the smallest multiple which these numbers share?)

(a)  

29.

Think about the numbers below:


3 and 4


What is the LOWEST common multiple of these numbers?

(What is the smallest multiple which these numbers share?)

(a)  

30.

Think about the numbers below:

9 and 12


What is the LOWEST common multiple of these numbers?

(What is the smallest multiple which these numbers share?)

(a)  

31.

Think about the numbers below:

12 and 18


What is the HIGHEST common factor of these numbers?

(What is the largest factor shared by these numbers?)

(a)  

32.

Think about the numbers below:

20 and 24


What is the HIGHEST common factor of these numbers?

(What is the largest factor shared by these numbers?)

(a)  

33.

Think about the numbers below:

9 and 27


What is the HIGHEST common factor of these numbers?

(What is the largest factor shared by these numbers?)

(a)  

34.

Think about the numbers below:

5 and 7


What is the HIGHEST common factor of these numbers?

(What is the largest factor shared by these numbers?)

(a)  

35.

Think about the numbers below:

15 and 30


What is the HIGHEST common factor of these numbers?

(What is the largest factor shared by these numbers?)

(a)  

36.

Think about the numbers below:

10 and 25


What is the HIGHEST common factor of these numbers?

(What is the largest factor shared by these numbers?)

(a)  

37.

The H.C.F (highest common factor) of 12 and 15 is 3?

(HCF 12 and 15 = 3)

a)

True

b)

False

38.

The H.C.F (highest common factor) of 10 and 20 is 5?

(HCF 10 and 20 = 5)

a)

True

b)

False

39.

The H.C.F (highest common factor) of 4 and 8 is 8?

(HCF 4 and 8 = 8)

a)

True

b)

False

40.

The H.C.F (highest common factor) of 6 and 9 is 3?

(HCF 6 and 9 = 3)

a)

True

b)

False

41.

The L.C.M (lowest common multiple) of 10 and 15 is 30?

(LCM 10 and 15 = 30)

a)

True

b)

False

42.

The L.C.M (lowest common multiple) of 8 and 12 is 12?

(LCM 8 and 12 = 12)

a)

True

b)

False

43.

The L.C.M (lowest common multiple) of 4 and 6 is 12?

(LCM 4 and 6 = 12)

a)

True

b)

False

44.

The L.C.M (lowest common multiple) of 2 and 4 is 2?

(LCM 2 and 4 = 2)

a)

True

b)

False

45.

The L.C.M (lowest common multiple) of 6 and 9 is 36?

(LCM 6 and 9 = 36)

a)

True

b)

False

46.

Select the multiples of 4

a)

6

b)

8

c)

12

d)

16

47.

Select the multiples of 6

a)

12

b)

16

c)

18

d)

26

48.

Select the factors of 12

a)

3

b)

6

c)

8

d)

10

49.

Select the factors of 20

a)

10

b)

2

c)

4

d)

6

50.

Select the factors of 18

a)

1

b)

18

c)

9

d)

2