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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 54 · 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 35 and 20.
  2. 2.Find the LCM of 18 and 16.
  3. 3.Find the HCF of 21 and 15.
  4. 4.Find the LCM of 28 and 24.
  5. 5.Find the LCM of 7 and 6.
  6. 6.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 10. What is the other number?
  7. 7.Find the LCM of 2, 3 and 6.
  8. 8.Find the HCF of 12 and 10.
  9. 9.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 12. What is the other number?
  10. 10.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 36. What is the other number?
  11. 11.Find the LCM of 2, 4 and 7.
  12. 12.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 45. What is the other number?
  13. 13.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 24. What is the other number?
  14. 14.Find the LCM of 48 and 42.
  15. 15.Find the HCF of 16 and 56.
  16. 16.Find the LCM of 3, 12 and 8.
  17. 17.Find the LCM of 5 and 7.
  18. 18.Find the LCM of 28 and 20.
  19. 19.Find the LCM of 4 and 10.
  20. 20.Find the LCM of 10 and 6.
  21. 21.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 28. What is the other number?
  22. 22.Find the LCM of 24 and 18.
  23. 23.Find the LCM of 5, 12 and 2.
  24. 24.Find the LCM of 3, 7 and 12.
  25. 25.Find the LCM of 5 and 9.
  26. 26.Find the LCM of 24 and 42.
  27. 27.Find the LCM of 42 and 24.
  28. 28.Find the LCM of 14 and 10.
  29. 29.Find the LCM of 15, 10 and 8.
  30. 30.Find the HCF of 56 and 24.
  31. 31.Find the LCM of 42 and 18.
  32. 32.Find the LCM of 16 and 14.
  33. 33.Find the HCF of 24 and 32.
  34. 34.Find the LCM of 20 and 35.
  35. 35.Find the LCM of 2, 7 and 11.
  36. 36.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 36. What is the other number?
  37. 37.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 40. What is the other number?
  38. 38.Find the LCM of 27 and 15.
  39. 39.Find the HCF of 80 and 30.
  40. 40.Find the LCM of 4 and 7.

Answer key

  1. 140
  2. 144
  3. 3
  4. 168
  5. 42
  6. 25
  7. 6
  8. 2
  9. 10
  10. 81
  11. 28
  12. 40
  13. 40
  14. 336
  15. 8
  16. 24
  17. 35
  18. 140
  19. 20
  20. 30
  21. 20
  22. 72
  23. 60
  24. 84
  25. 45
  26. 168
  27. 168
  28. 70
  29. 120
  30. 8
  31. 126
  32. 112
  33. 8
  34. 140
  35. 154
  36. 63
  37. 15
  38. 135
  39. 10
  40. 28

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