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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 421 · 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, 9 and 7.
  2. 2.Find the HCF of 24 and 30.
  3. 3.Find the LCM of 6 and 7.
  4. 4.Find the HCF of 24 and 9.
  5. 5.Find the LCM of 15 and 40.
  6. 6.Find the LCM of 6 and 5.
  7. 7.Find the LCM of 15, 14 and 10.
  8. 8.Find the LCM of 9 and 8.
  9. 9.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  10. 10.Find the LCM of 27 and 21.
  11. 11.Find the LCM of 21 and 15.
  12. 12.Find the HCF of 72 and 16.
  13. 13.Find the HCF of 21 and 15.
  14. 14.Find the HCF of 42 and 112.
  15. 15.Find the HCF of 77 and 44.
  16. 16.Find the LCM of 13, 3 and 6.
  17. 17.Find the HCF of 10 and 6.
  18. 18.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 21. What is the other number?
  19. 19.Find the HCF of 16 and 24.
  20. 20.Find the LCM of 20 and 28.
  21. 21.Find the LCM of 28 and 36.
  22. 22.Find the HCF of 28 and 8.
  23. 23.Find the LCM of 5, 2 and 15.
  24. 24.Find the LCM of 3, 7 and 14.
  25. 25.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  26. 26.Find the HCF of 48 and 36.
  27. 27.Find the HCF of 84 and 48.
  28. 28.Find the HCF of 25 and 10.
  29. 29.Find the HCF of 35 and 10.
  30. 30.Find the HCF of 4 and 10.
  31. 31.Find the HCF of 21 and 49.
  32. 32.Find the LCM of 15, 14 and 5.
  33. 33.Find the LCM of 5, 15 and 8.
  34. 34.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  35. 35.Find the HCF of 44 and 99.
  36. 36.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 36. What is the other number?
  37. 37.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 81. What is the other number?
  38. 38.Find the HCF of 28 and 42.
  39. 39.Find the HCF of 24 and 64.
  40. 40.Find the LCM of 20 and 15.

Answer key

  1. 63
  2. 6
  3. 42
  4. 3
  5. 120
  6. 30
  7. 210
  8. 72
  9. 27
  10. 189
  11. 105
  12. 8
  13. 3
  14. 14
  15. 11
  16. 78
  17. 2
  18. 27
  19. 8
  20. 140
  21. 252
  22. 4
  23. 30
  24. 42
  25. 15
  26. 12
  27. 12
  28. 5
  29. 5
  30. 2
  31. 7
  32. 210
  33. 120
  34. 6
  35. 11
  36. 20
  37. 18
  38. 14
  39. 8
  40. 60

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