# Worksheet: Common Multiples

In this worksheet, we will practice finding the common multiples of two whole numbers by listing their multiples.

**Q2: **

Find all the multiples of both 3 and 5 that are less than 65.

- A0,3, 5, 15, 30
- B0,3, 5, 30, 45
- C0,15, 30, 48, 65
- D0,15, 30, 45, 60

**Q4: **

Find all the common multiples of 2, 4 and 9 up to and including 72.

- A
- B72
- C
- D

**Q6: **

If the common multiples of and are , determine two possible values for each of and .

- A and , and
- B and , and
- C and , and
- D and , and
- E and , and

**Q7: **

The common multiples of and 48 are . Find four different possible values of .

- A16, 24, 48, and 96
- B16, 24, 32, and 48
- C2, 3, 4, and 5
- D10, 14, 18, and 26
- E8, 12, 16, and 24

**Q8: **

Find the smallest 3-digit common multiple of 6 and 12.

**Q10: **

Find three common multiples of the numbers 11, 7, and 10.

- A770, 1,540, 2,310
- B110, 220, 330
- C110, 70, 10
- D77, 154, 231
- E70, 140, 210

**Q11: **

Chloe has bought two different types of tiles for her bathroom with dimensions (type 1) and (type 2). She wants to make patterns by alternating groups of tiles of each type as shown in the diagram.

What is the minimum number of each type of tile she can use in each group?

- AType 1:1, Type 2: 1
- BType 1: 4, Type 2: 6
- CType 1: 2, Type 2: 3
- DType 1: 6, Type 2: 4
- EType 1: 3, Type 2: 2

**Q12: **

Madison is thinking of a number between 1 and 100. She is going to give you clues to see if you can work out her number.

Her first clue is βthe number is a factor of 18.β Do you have enough information to find the number?

- Ano
- Byes

Next, she tells you, βthe number is prime.β Write all the numbers that she could be thinking of.

- A3 and 6
- B2 and 6
- C1 and 18
- D2 and 3
- E6 and 9

The last clue is βthe number is odd.β What number is she thinking of?

**Q14: **

Find all the common multiples of 2, 3 and 6 up to and including 48.

- A
- B36
- C
- D

**Q15: **

Find all the multiples of both 3 and 7 that are less than 95.

- A0,3, 7, 21, 42
- B0,3, 7, 42, 63
- C0,21, 42, 66, 91
- D0,21, 42, 63, 84

**Q16: **

Find all the multiples of both 4 and 5 that are less than 90.

- A0,4, 5, 20, 40
- B0,4, 5, 40, 60
- C0,20, 40, 64, 85
- D0,20, 40, 60, 80