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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 180 · 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 HCF of 135 and 75.
  2. 2.Find the LCM of 18 and 12.
  3. 3.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 20. What is the other number?
  4. 4.Find the LCM of 9 and 6.
  5. 5.Find the LCM of 5, 4 and 15.
  6. 6.Find the LCM of 5 and 3.
  7. 7.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 8. What is the other number?
  8. 8.Find the LCM of 15, 8 and 5.
  9. 9.Find the LCM of 12, 9 and 4.
  10. 10.Find the LCM of 7 and 4.
  11. 11.Find the LCM of 3, 6 and 15.
  12. 12.Find the LCM of 42 and 54.
  13. 13.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 10. What is the other number?
  14. 14.Find the LCM of 15, 3 and 9.
  15. 15.Find the LCM of 12 and 28.
  16. 16.Find the LCM of 3 and 2.
  17. 17.Find the HCF of 63 and 45.
  18. 18.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 28. What is the other number?
  19. 19.Find the HCF of 36 and 81.
  20. 20.Find the LCM of 3, 14 and 8.
  21. 21.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 28. What is the other number?
  22. 22.Find the HCF of 70 and 84.
  23. 23.Find the HCF of 64 and 56.
  24. 24.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  25. 25.Find the LCM of 42 and 48.
  26. 26.Find the LCM of 5, 12 and 8.
  27. 27.Find the LCM of 4 and 18.
  28. 28.Find the LCM of 4, 12 and 11.
  29. 29.Find the LCM of 12, 10 and 8.
  30. 30.Find the LCM of 20 and 36.
  31. 31.Find the HCF of 105 and 90.
  32. 32.Find the LCM of 4, 7 and 5.
  33. 33.Find the LCM of 27 and 21.
  34. 34.Find the HCF of 9 and 12.
  35. 35.Find the HCF of 39 and 52.
  36. 36.Find the LCM of 4, 8 and 15.
  37. 37.Find the LCM of 3, 5 and 13.
  38. 38.Find the LCM of 2, 7 and 4.
  39. 39.Find the LCM of 8 and 10.
  40. 40.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 36. What is the other number?

Answer key

  1. 15
  2. 36
  3. 28
  4. 18
  5. 60
  6. 15
  7. 14
  8. 120
  9. 36
  10. 28
  11. 30
  12. 378
  13. 25
  14. 45
  15. 84
  16. 6
  17. 9
  18. 49
  19. 9
  20. 168
  21. 32
  22. 14
  23. 8
  24. 32
  25. 336
  26. 120
  27. 36
  28. 132
  29. 120
  30. 180
  31. 15
  32. 140
  33. 189
  34. 3
  35. 13
  36. 120
  37. 195
  38. 28
  39. 40
  40. 45

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