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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 527 · 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 60 and 135.
  2. 2.Find the LCM of 30 and 48.
  3. 3.Find the LCM of 2, 6 and 14.
  4. 4.Find the HCF of 42 and 24.
  5. 5.Find the HCF of 12 and 54.
  6. 6.Find the LCM of 2, 14 and 7.
  7. 7.Find the LCM of 3 and 8.
  8. 8.Find the LCM of 2, 14 and 5.
  9. 9.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
  10. 10.Find the LCM of 24 and 42.
  11. 11.Find the LCM of 8, 3 and 12.
  12. 12.Find the HCF of 72 and 27.
  13. 13.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  14. 14.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 56. What is the other number?
  15. 15.Find the HCF of 40 and 48.
  16. 16.Find the LCM of 2, 8 and 6.
  17. 17.Find the LCM of 4, 5 and 2.
  18. 18.Find the LCM of 14, 15 and 10.
  19. 19.Find the HCF of 15 and 6.
  20. 20.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 64. What is the other number?
  21. 21.Find the LCM of 7, 10 and 2.
  22. 22.Find the LCM of 2, 6 and 13.
  23. 23.Find the LCM of 20 and 16.
  24. 24.Find the LCM of 14 and 12.
  25. 25.Find the LCM of 12, 5 and 9.
  26. 26.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 42. What is the other number?
  27. 27.Find the LCM of 5, 3 and 14.
  28. 28.Find the LCM of 4, 10 and 8.
  29. 29.Find the HCF of 10 and 35.
  30. 30.Find the HCF of 10 and 16.
  31. 31.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 36. What is the other number?
  32. 32.Find the HCF of 20 and 24.
  33. 33.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?
  34. 34.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  35. 35.Find the LCM of 3, 5 and 14.
  36. 36.Find the LCM of 42 and 18.
  37. 37.Find the HCF of 27 and 45.
  38. 38.Find the LCM of 3, 6 and 4.
  39. 39.Find the HCF of 99 and 22.
  40. 40.Find the LCM of 11, 3 and 9.

Answer key

  1. 15
  2. 240
  3. 42
  4. 6
  5. 6
  6. 14
  7. 24
  8. 70
  9. 15
  10. 168
  11. 24
  12. 9
  13. 12
  14. 49
  15. 8
  16. 24
  17. 20
  18. 210
  19. 3
  20. 72
  21. 70
  22. 78
  23. 80
  24. 84
  25. 180
  26. 54
  27. 210
  28. 40
  29. 5
  30. 2
  31. 16
  32. 4
  33. 20
  34. 12
  35. 210
  36. 126
  37. 9
  38. 12
  39. 11
  40. 99

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