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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 650 · 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 3, 8 and 9.
  2. 2.Find the HCF of 16 and 36.
  3. 3.Find the LCM of 12 and 32.
  4. 4.Find the HCF of 24 and 16.
  5. 5.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 54. What is the other number?
  6. 6.Find the HCF of 84 and 96.
  7. 7.Find the LCM of 3, 6 and 11.
  8. 8.Find the LCM of 6, 10 and 7.
  9. 9.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 25. What is the other number?
  10. 10.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 56. What is the other number?
  11. 11.Find the LCM of 12 and 28.
  12. 12.Find the LCM of 21 and 12.
  13. 13.Find the LCM of 10, 4 and 5.
  14. 14.Find the LCM of 9 and 8.
  15. 15.Find the HCF of 40 and 90.
  16. 16.Find the LCM of 18 and 8.
  17. 17.Find the HCF of 12 and 28.
  18. 18.Find the LCM of 9, 7 and 6.
  19. 19.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  20. 20.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 14. What is the other number?
  21. 21.Find the LCM of 15, 4 and 5.
  22. 22.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 27. What is the other number?
  23. 23.Find the HCF of 8 and 10.
  24. 24.Find the LCM of 8, 3 and 2.
  25. 25.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  26. 26.Find the LCM of 32 and 20.
  27. 27.Find the LCM of 12 and 18.
  28. 28.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 18. What is the other number?
  29. 29.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 8. What is the other number?
  30. 30.Find the HCF of 16 and 20.
  31. 31.Find the LCM of 15 and 35.
  32. 32.Find the LCM of 8 and 18.
  33. 33.Find the LCM of 10, 12 and 8.
  34. 34.Find the LCM of 12, 2 and 5.
  35. 35.Find the HCF of 117 and 52.
  36. 36.Find the LCM of 6, 7 and 15.
  37. 37.Find the LCM of 2, 6 and 4.
  38. 38.Find the LCM of 2 and 7.
  39. 39.Find the HCF of 48 and 84.
  40. 40.Find the LCM of 4, 3 and 13.

Answer key

  1. 72
  2. 4
  3. 96
  4. 8
  5. 48
  6. 12
  7. 66
  8. 210
  9. 30
  10. 21
  11. 84
  12. 84
  13. 20
  14. 72
  15. 10
  16. 72
  17. 4
  18. 126
  19. 6
  20. 16
  21. 60
  22. 6
  23. 2
  24. 24
  25. 18
  26. 160
  27. 36
  28. 24
  29. 14
  30. 4
  31. 105
  32. 72
  33. 120
  34. 60
  35. 13
  36. 210
  37. 12
  38. 14
  39. 12
  40. 156

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