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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 474 · 40 questions
TalentJR

The method (Prime factors): Write each number as a product of primes: 36 = 2 × 2 × 3 × 3. HCF: multiply the primes the numbers share (each as many times as it appears in both). LCM: take every prime the greatest number of times it appears. For two numbers, HCF × LCM = first number × second number.

NameDateTime takenScore ___ / 40
  1. 1.Find the LCM of 2, 8 and 5.
  2. 2.Find the HCF of 126 and 56.
  3. 3.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
  4. 4.Find the LCM of 7, 10 and 14.
  5. 5.Find the HCF of 27 and 72.
  6. 6.Find the LCM of 6 and 27.
  7. 7.Find the LCM of 2, 15 and 4.
  8. 8.Find the LCM of 15 and 12.
  9. 9.Find the HCF of 24 and 56.
  10. 10.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 36. What is the other number?
  11. 11.Find the HCF of 24 and 108.
  12. 12.Find the HCF of 12 and 8.
  13. 13.Find the LCM of 3 and 7.
  14. 14.Find the LCM of 2, 10 and 6.
  15. 15.Find the LCM of 18 and 30.
  16. 16.Find the LCM of 24 and 42.
  17. 17.Find the LCM of 8 and 20.
  18. 18.Find the LCM of 9, 6 and 8.
  19. 19.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  20. 20.Find the LCM of 18 and 8.
  21. 21.Find the LCM of 4, 10 and 11.
  22. 22.Find the LCM of 13, 10 and 5.
  23. 23.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 14. What is the other number?
  24. 24.Find the LCM of 42 and 30.
  25. 25.Find the HCF of 16 and 12.
  26. 26.Find the LCM of 15, 4 and 8.
  27. 27.Find the LCM of 9, 3 and 8.
  28. 28.Find the HCF of 48 and 60.
  29. 29.Find the LCM of 6 and 16.
  30. 30.Find the LCM of 2 and 9.
  31. 31.Find the HCF of 42 and 36.
  32. 32.Find the LCM of 8 and 18.
  33. 33.Find the HCF of 52 and 117.
  34. 34.Find the LCM of 42 and 24.
  35. 35.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  36. 36.Find the LCM of 12 and 20.
  37. 37.Find the HCF of 18 and 12.
  38. 38.Find the LCM of 6 and 5.
  39. 39.Find the HCF of 90 and 105.
  40. 40.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?

Answer key

  1. 40
  2. 14
  3. 15
  4. 70
  5. 9
  6. 54
  7. 60
  8. 60
  9. 8
  10. 27
  11. 12
  12. 4
  13. 21
  14. 30
  15. 90
  16. 168
  17. 40
  18. 72
  19. 27
  20. 72
  21. 220
  22. 130
  23. 49
  24. 210
  25. 4
  26. 120
  27. 72
  28. 12
  29. 48
  30. 18
  31. 6
  32. 72
  33. 13
  34. 168
  35. 27
  36. 60
  37. 6
  38. 30
  39. 15
  40. 28

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