Worksheet: Common Multiples

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

Q1:

Identify the first three common multiples of 3 and 7.

  • A2, 4, 6
  • B21, 42, 84
  • C42, 63, 84
  • D2, 3, 4
  • E21, 42, 63

Q2:

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

  • A 0,15, 30, 48, 65
  • B 0,3, 5, 30, 45
  • C 0,3, 5, 15, 30
  • D 0,15, 30, 45, 60

Q3:

Find all the common multiples of 10 and 9 up to and including 450.

  • A 9 0 , 4 5 0
  • B 1 9 , 3 8 , 5 7 , 7 6 , 9 5
  • C 0 , 9 0 , 1 8 0 , 2 7 0 , 3 6 0 , 4 5 0
  • D 0 , 9 0 , 3 6 0

Q4:

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

  • A 0 , 3 6 , 7 2
  • B72
  • C 7 2 , 5 7 6
  • D 3 6 , 7 2

Q5:

Which of the following is a multiple of both 7 and 2 and of their product 14?

  • A21
  • B91
  • C84
  • D23
  • E4

Q6:

If the common multiples of 𝑦 and 𝑧 are 22,44,66,88,110,…, determine two possible values for each of 𝑦 and 𝑧.

  • A 𝑦 = 6 and 𝑧=15, 𝑦=15 and 𝑧=26
  • B 𝑦 = 2 and 𝑧=11, 𝑦=22 and 𝑧=44
  • C 𝑦 = 2 and 𝑧=3, 𝑦=4 and 𝑧=5
  • D 𝑦 = 4 and 𝑧=13, 𝑦=13 and 𝑧=24
  • E 𝑦 = 2 and 𝑧=11, 𝑦=11 and 𝑧=22

Q7:

The common multiples of π‘₯ and 48 are 48,96,144,192,240,…. Find four different possible values of π‘₯.

  • 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.

Q9:

Which number is a multiple of 3 and a multiple of 7?

Q10:

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

  • A 770, 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 3Γ—6cmcm (type 1) and 3Γ—9cmcm (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 β€œthe number is a factor of 18.” Do you have enough information to find the number?

  • Ano
  • Byes

Next, she tells you, β€œthe number is prime.” 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 β€œthe number is odd.” What number is she thinking of?

Q13:

Identify the first three common multiples of 5 and 13.

  • A2, 4, 6
  • B65, 130, 260
  • C130, 195, 260
  • D2, 3, 4
  • E65, 130, 195

Q14:

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

  • A 0 , 6 , 1 2 , 1 8 , 2 4 , 3 0 , 3 6 , 4 2 , 4 8
  • B36
  • C 3 6 , 2 8 8
  • D 6 , 1 2 , 1 8 , 2 4 , 3 0 , 3 6 , 4 2 , 4 8

Q15:

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

  • A 0,21, 42, 63, 84
  • B 0,21, 42, 66, 91
  • C 0,3, 7, 21, 42
  • D 0,3, 7, 42, 63

Q16:

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

  • A 0,4, 5, 20, 40
  • B 0,4, 5, 40, 60
  • C 0,20, 40, 60, 80
  • D 0,20, 40, 64, 85

Q17:

Which of the following pairs of numbers have a common multiple of 24?

  • A6 and 11
  • B7 and 17
  • C5 and 2
  • D2 and 12

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