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Worksheet: Finding Common Multiples of a Set of Whole Numbers

Q1:

Identify the first three common multiples of 5 and 13.

  • A2, 3, 4
  • B130, 195, 260
  • C2, 4, 6
  • D65, 130, 195
  • E65, 130, 260

Q2:

Identify the first three common multiples of 3 and 7.

  • A2, 3, 4
  • B42, 63, 84
  • C2, 4, 6
  • D21, 42, 63
  • E21, 42, 84

Q3:

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

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

Q4:

Fill in the blanks with two consecutive multiples of 5 that satisfy < 7 2 < .

  • A56, 64
  • B65, 70
  • C75, 80
  • D70, 75

Q5:

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

Q6:

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

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

Q7:

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

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

Q8:

Find all the multiples of both 3 and 4 that are less than 55.

  • A 0,3, 4, 24, 36
  • B 0,3, 4, 12, 24
  • C 0,12, 24, 39, 52
  • D 0,12, 24, 36, 48

Q9:

Which of the following is a multiple of both 9 and 3 and of their product 27?

  • A 9
  • B 45
  • C 63
  • D 54
  • E 39

Q10:

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

  • A 3 6 , 2 8 8
  • B 6 , 1 2 , 1 8 , 2 4 , 3 0 , 3 6 , 4 2 , 4 8
  • C36
  • D 0 , 6 , 1 2 , 1 8 , 2 4 , 3 0 , 3 6 , 4 2 , 4 8

Q11:

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

  • A 4
  • B 21
  • C 91
  • D 84
  • E 23

Q12:

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

  • A 7 2 , 5 7 6
  • B 3 6 , 7 2
  • C72
  • D 0 , 3 6 , 7 2

Q13:

If the common multiples of 𝑦 and 𝑧 are 2 2 , 4 4 , 6 6 , 8 8 , 1 1 0 , … , determine two possible values for each of 𝑦 and 𝑧 .

  • A 𝑦 = 4 and 𝑧 = 1 3 , 𝑦 = 1 3 and 𝑧 = 2 4
  • B 𝑦 = 6 and 𝑧 = 1 5 , 𝑦 = 1 5 and 𝑧 = 2 6
  • C 𝑦 = 2 and 𝑧 = 3 , 𝑦 = 4 and 𝑧 = 5
  • D 𝑦 = 2 and 𝑧 = 1 1 , 𝑦 = 1 1 and 𝑧 = 2 2
  • E 𝑦 = 2 and 𝑧 = 1 1 , 𝑦 = 2 2 and 𝑧 = 4 4

Q14:

The common multiples of π‘₯ and 48 are 4 8 , 9 6 , 1 4 4 , 1 9 2 , 2 4 0 , … . Find four different possible values of π‘₯ .

  • A10, 14, 18, and 26
  • B16, 24, 32, and 48
  • C2, 3, 4, and 5
  • D8, 12, 16, and 24
  • E16, 24, 48, and 96

Q15:

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

Q16:

Students are using blocks to build towers. The blue blocks are 2 cm high. The red blocks are 3 cm high, and the green blocks are 5 cm high.

They build a green tower that is 40 cm high. How many green blocks did they use?

They build a tower that is 21 cm high and only use blocks of one color. What color blocks did they use?

  • Ared
  • Bblue
  • Cgreen

Can they build a blue tower that is 27 cm high? Why?

  • AYes, because 2 is not a factor of 27.
  • BYes, because 2 is a factor of 27.
  • CNo, because 2 is not a factor of 27.
  • DNo, because 2 is a prime number.
  • EYes, because 2 is an even and prime number.

Q17:

In this table, we write a number on the left, its factors in the middle, and some of its multiples on the right. Some of the numbers are missing.

Number ( π‘₯ ) Factors of ( π‘₯ ) Some Multiples of ( π‘₯ )
? 1 , ? 1 4 , 3 5 , …
8 1 , 2 , ? , 8 1 6 , 4 0 , …

The first number in the table only has 2 factors. What is the number?

A factor of 8 is missing from the table. What is this factor?

Q18:

What number does ? represent?

Number ( π‘₯ ) Factors of ( π‘₯ ) Multiples of ( π‘₯ )
4 1 , 2 , 4 4 , 8 , 1 2 , 1 6 , 2 0 , …
? 1 , 2 , 3 , 6 6 , 1 2 , 1 8 , 2 4 , 3 0 , …

Q19:

Find the missing number.

Number Factors Multiples
6 1 , 2 , 3 , 6 6 , 1 2 , 1 8 , 2 4 , 3 0 , …
9 1 , ? , 9 9 , 1 8 , 2 7 , 3 6 , 4 5 , …

Q20:

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

Q21:

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

  • A110, 70, 10
  • B77, 154, 231
  • C110, 220, 330
  • D770, 1 540, 2 310
  • E70, 140, 210

Q22:

Chloe has bought two different types of tiles for her bathroom with dimensions 3 Γ— 6 c m c m (type 1) and 3 Γ— 9 c m c m (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?

  • A Type 1: 2, Type 2: 3
  • B Type 1: 6, Type 2: 4
  • C Type 1: 4, Type 2: 6
  • D Type 1: 3, Type 2: 2
  • E Type 1:1, Type 2: 1

Q23:

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.

  • A2 and 3
  • B3 and 6
  • C6 and 9
  • D2 and 6
  • E1 and 18

The last clue is β€œthe number is odd.” What number is she thinking of?

Q24:

I am thinking of a number between 1 and 100. Use the clues to discover the number.

  • It is a factor of 26.
  • It is a prime number.
  • It is NOT a factor of 6.