Common Multiples Explained: Examples and Problems

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A. List the Multiples (1–20)

Write the first five multiples of each number.

  1. Multiples of 3
  2. Multiples of 4
  3. Multiples of 5
  4. Multiples of 6
  5. Multiples of 7
  6. Multiples of 8
  7. Multiples of 9
  8. Multiples of 10
  9. Multiples of 11
  10. Multiples of 12
  11. Multiples of 13
  12. Multiples of 14
  13. Multiples of 15
  14. Multiples of 16
  15. Multiples of 17
  16. Multiples of 18
  17. Multiples of 19
  18. Multiples of 20
  19. Multiples of 21
  20. Multiples of 25

B. Multiple-Choice (21–35)

Choose the correct answer.

  1. Which number is a multiple of 6?
    a) 13 b) 18 c) 20
  2. Which number is a multiple of 9?
    a) 27 b) 25 c) 32
  3. Which number is a common multiple of 3 and 4?
    a) 8 b) 12 c) 15
  4. Which number is not a multiple of 5?
    a) 35 b) 40 c) 42
  5. Which number is a multiple of 7?
    a) 28 b) 26 c) 31
  6. Which number is a multiple of 8?
    a) 48 b) 30 c) 50
  7. Smallest common multiple of 2 and 3 is:
    a) 4 b) 5 c) 6
  8. Which is a multiple of 11?
    a) 33 b) 44 c) Both a and b
  9. Which number is a multiple of 12?
    a) 38 b) 60 c) 53
  10. Smallest multiple of any number is:
    a) 0 b) 1 c) The number itself
  11. Which number is a multiple of 15?
    a) 45 b) 50 c) 55
  12. Which of the following is a common multiple of 3 and 5?
    a) 10 b) 15 c) 20
  13. Which number is a multiple of 14?
    a) 42 b) 48 c) 49
  14. Which number is a multiple of 4?
    a) 22 b) 36 c) 25
  15. Which number is a common multiple of 4 and 6?
    a) 12 b) 14 c) 16

C. Word / Concept Problems (36–50)

  1. Write the first three common multiples of 3 and 5.
  2. Write any two multiples of 14 greater than 50.
  3. Write the smallest multiple of 9.
  4. What is the 5th multiple of 12?
  5. Which number is a common multiple of 8 and 12 below 50?
  6. Write the first four multiples of 11.
  7. Name a multiple of 25 that is less than 200.
  8. Write any two multiples of 18.
  9. Is 42 a multiple of 7? (Yes/No)
  10. Write the first three multiples of 16.
  11. Write a number that is a multiple of both 6 and 9.
  12. Write the 4th multiple of 7.
  13. Write two multiples of 50.
  14. Write the smallest common multiple of 4 and 10.
  15. Write the next multiple of 63 after 63.

📘 ANSWER KEY

A. List the Multiples

  1. 3, 6, 9, 12, 15
  2. 4, 8, 12, 16, 20
  3. 5, 10, 15, 20, 25
  4. 6, 12, 18, 24, 30
  5. 7, 14, 21, 28, 35
  6. 8, 16, 24, 32, 40
  7. 9, 18, 27, 36, 45
  8. 10, 20, 30, 40, 50
  9. 11, 22, 33, 44, 55
  10. 12, 24, 36, 48, 60
  11. 13, 26, 39, 52, 65
  12. 14, 28, 42, 56, 70
  13. 15, 30, 45, 60, 75
  14. 16, 32, 48, 64, 80
  15. 17, 34, 51, 68, 85
  16. 18, 36, 54, 72, 90
  17. 19, 38, 57, 76, 95
  18. 20, 40, 60, 80, 100
  19. 21, 42, 63, 84, 105
  20. 25, 50, 75, 100, 125

B. Multiple-Choice

  1. b
  2. a
  3. b
  4. c
  5. a
  6. a
  7. c
  8. c
  9. b
  10. a
  11. a
  12. b
  13. a
  14. b
  15. a

C. Word / Concept Problems

  1. 15, 30, 45
  2. 56, 70, 84 (any two)
  3. 0 (or 9 if starting from positive multiples)
  4. 60
  5. 24 or 48
  6. 11, 22, 33, 44
  7. 25, 50, 75, 100, 125, 150, 175 (any one)
  8. 18, 36, 54, 72… (any two)
  9. Yes
  10. 16, 32, 48
  11. 18, 36, 54… (any one)
  12. 28
  13. 50, 100, 150, 200… (any two)
  14. 20
  15. 126
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