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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 215 · 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, 9 and 3.
  2. 2.Find the HCF of 105 and 90.
  3. 3.Find the LCM of 25 and 15.
  4. 4.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 45. What is the other number?
  5. 5.Find the LCM of 10, 5 and 3.
  6. 6.Find the LCM of 5, 4 and 6.
  7. 7.Find the LCM of 4 and 14.
  8. 8.Find the HCF of 42 and 28.
  9. 9.Find the HCF of 24 and 54.
  10. 10.Find the LCM of 14, 5 and 7.
  11. 11.Find the LCM of 12, 10 and 2.
  12. 12.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 18. What is the other number?
  13. 13.Find the LCM of 10, 2 and 12.
  14. 14.Find the HCF of 45 and 18.
  15. 15.Find the LCM of 12 and 30.
  16. 16.Find the LCM of 14, 2 and 5.
  17. 17.Find the HCF of 28 and 42.
  18. 18.Find the HCF of 39 and 104.
  19. 19.Find the HCF of 21 and 28.
  20. 20.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  21. 21.Find the LCM of 5 and 8.
  22. 22.Find the LCM of 9, 15 and 6.
  23. 23.Find the HCF of 80 and 70.
  24. 24.Find the LCM of 6, 8 and 10.
  25. 25.Find the LCM of 12, 13 and 2.
  26. 26.Find the HCF of 44 and 99.
  27. 27.Find the LCM of 15 and 40.
  28. 28.Find the LCM of 6 and 14.
  29. 29.Find the LCM of 3 and 7.
  30. 30.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  31. 31.Find the HCF of 15 and 12.
  32. 32.Find the LCM of 9, 3 and 5.
  33. 33.Find the HCF of 20 and 24.
  34. 34.Find the LCM of 30 and 48.
  35. 35.Find the LCM of 8 and 18.
  36. 36.Find the LCM of 10, 2 and 5.
  37. 37.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 56. What is the other number?
  38. 38.Find the HCF of 32 and 36.
  39. 39.Find the LCM of 10, 2 and 9.
  40. 40.Find the LCM of 4, 6 and 3.

Answer key

  1. 18
  2. 15
  3. 75
  4. 72
  5. 30
  6. 60
  7. 28
  8. 14
  9. 6
  10. 70
  11. 60
  12. 63
  13. 60
  14. 9
  15. 60
  16. 70
  17. 14
  18. 13
  19. 7
  20. 14
  21. 40
  22. 90
  23. 10
  24. 120
  25. 156
  26. 11
  27. 120
  28. 42
  29. 21
  30. 12
  31. 3
  32. 45
  33. 4
  34. 240
  35. 72
  36. 10
  37. 24
  38. 4
  39. 90
  40. 12

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