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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 470 · 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 5, 3 and 7.
  2. 2.Find the LCM of 14 and 12.
  3. 3.Find the LCM of 25 and 10.
  4. 4.Find the HCF of 108 and 96.
  5. 5.Find the LCM of 5, 7 and 15.
  6. 6.Find the HCF of 50 and 60.
  7. 7.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 40. What is the other number?
  8. 8.Find the HCF of 12 and 9.
  9. 9.Find the LCM of 9, 8 and 6.
  10. 10.Find the LCM of 6 and 8.
  11. 11.Find the LCM of 5 and 2.
  12. 12.Find the HCF of 56 and 48.
  13. 13.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  14. 14.Find the LCM of 35 and 40.
  15. 15.Find the LCM of 8, 7 and 4.
  16. 16.Find the HCF of 72 and 60.
  17. 17.Find the LCM of 10 and 12.
  18. 18.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?
  19. 19.Find the LCM of 5, 2 and 7.
  20. 20.Find the HCF of 30 and 80.
  21. 21.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 10. What is the other number?
  22. 22.Find the LCM of 11, 2 and 10.
  23. 23.Find the HCF of 72 and 27.
  24. 24.Find the LCM of 4, 2 and 15.
  25. 25.Find the LCM of 6, 7 and 3.
  26. 26.Find the LCM of 6 and 15.
  27. 27.Find the HCF of 28 and 49.
  28. 28.Find the LCM of 4, 12 and 11.
  29. 29.Find the HCF of 27 and 63.
  30. 30.Find the LCM of 6 and 5.
  31. 31.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 54. What is the other number?
  32. 32.Find the LCM of 32 and 20.
  33. 33.Find the LCM of 3, 14 and 4.
  34. 34.Find the LCM of 6 and 4.
  35. 35.Find the LCM of 2, 8 and 15.
  36. 36.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 18. What is the other number?
  37. 37.Find the HCF of 84 and 36.
  38. 38.Find the LCM of 4 and 7.
  39. 39.Find the LCM of 4, 10 and 9.
  40. 40.Find the LCM of 24 and 15.

Answer key

  1. 105
  2. 84
  3. 50
  4. 12
  5. 105
  6. 10
  7. 15
  8. 3
  9. 72
  10. 24
  11. 10
  12. 8
  13. 15
  14. 280
  15. 56
  16. 12
  17. 60
  18. 14
  19. 70
  20. 10
  21. 12
  22. 110
  23. 9
  24. 60
  25. 42
  26. 30
  27. 7
  28. 132
  29. 9
  30. 30
  31. 42
  32. 160
  33. 84
  34. 12
  35. 120
  36. 24
  37. 12
  38. 28
  39. 180
  40. 120

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