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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 709 · 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 20 and 15.
  2. 2.Find the LCM of 10, 15 and 12.
  3. 3.Find the LCM of 15, 12 and 4.
  4. 4.Find the LCM of 4, 15 and 8.
  5. 5.Find the HCF of 20 and 35.
  6. 6.Find the HCF of 48 and 40.
  7. 7.Find the LCM of 5, 15 and 12.
  8. 8.Find the LCM of 35 and 10.
  9. 9.Find the LCM of 45 and 40.
  10. 10.Find the HCF of 30 and 50.
  11. 11.Find the LCM of 28 and 32.
  12. 12.Find the LCM of 15, 7 and 3.
  13. 13.Find the LCM of 14, 8 and 6.
  14. 14.Find the LCM of 14, 4 and 12.
  15. 15.Find the HCF of 36 and 32.
  16. 16.Find the HCF of 66 and 77.
  17. 17.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?
  18. 18.Find the LCM of 25 and 20.
  19. 19.Find the HCF of 108 and 48.
  20. 20.Find the LCM of 27 and 21.
  21. 21.Find the HCF of 24 and 28.
  22. 22.Find the LCM of 15, 4 and 5.
  23. 23.Find the HCF of 14 and 49.
  24. 24.Find the LCM of 9 and 7.
  25. 25.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 56. What is the other number?
  26. 26.Find the HCF of 112 and 70.
  27. 27.Find the LCM of 12, 10 and 6.
  28. 28.Find the HCF of 30 and 135.
  29. 29.Find the LCM of 8, 5 and 6.
  30. 30.Find the HCF of 20 and 15.
  31. 31.Find the HCF of 27 and 45.
  32. 32.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 28. What is the other number?
  33. 33.Find the LCM of 3, 10 and 6.
  34. 34.Find the HCF of 36 and 45.
  35. 35.Find the LCM of 8, 10 and 4.
  36. 36.Find the LCM of 6, 14 and 7.
  37. 37.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 54. What is the other number?
  38. 38.Find the LCM of 14, 6 and 12.
  39. 39.Find the LCM of 15 and 10.
  40. 40.Find the HCF of 72 and 60.

Answer key

  1. 60
  2. 60
  3. 60
  4. 120
  5. 5
  6. 8
  7. 60
  8. 70
  9. 360
  10. 10
  11. 224
  12. 105
  13. 168
  14. 84
  15. 4
  16. 11
  17. 6
  18. 100
  19. 12
  20. 189
  21. 4
  22. 60
  23. 7
  24. 63
  25. 35
  26. 14
  27. 60
  28. 15
  29. 120
  30. 5
  31. 9
  32. 35
  33. 30
  34. 9
  35. 40
  36. 42
  37. 63
  38. 84
  39. 30
  40. 12

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