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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 538 · 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.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  2. 2.Find the LCM of 11, 8 and 4.
  3. 3.Find the LCM of 54 and 48.
  4. 4.Find the LCM of 3, 11 and 12.
  5. 5.Find the LCM of 9, 12 and 5.
  6. 6.Find the LCM of 3, 2 and 4.
  7. 7.Find the HCF of 24 and 28.
  8. 8.Find the LCM of 54 and 12.
  9. 9.Find the LCM of 15, 8 and 6.
  10. 10.Find the LCM of 18 and 8.
  11. 11.Find the LCM of 9 and 12.
  12. 12.Find the LCM of 5, 4 and 10.
  13. 13.Find the LCM of 4 and 14.
  14. 14.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  15. 15.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  16. 16.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 28. What is the other number?
  17. 17.Find the HCF of 36 and 42.
  18. 18.Find the LCM of 28 and 20.
  19. 19.Find the LCM of 8 and 10.
  20. 20.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  21. 21.Find the LCM of 7, 6 and 5.
  22. 22.Find the LCM of 4 and 9.
  23. 23.Find the HCF of 27 and 12.
  24. 24.Find the HCF of 135 and 60.
  25. 25.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 15. What is the other number?
  26. 26.Find the LCM of 25 and 30.
  27. 27.Find the LCM of 8, 13 and 2.
  28. 28.Find the HCF of 56 and 24.
  29. 29.Find the HCF of 32 and 56.
  30. 30.Find the LCM of 7, 3 and 5.
  31. 31.Find the LCM of 6, 4 and 7.
  32. 32.Find the LCM of 6 and 8.
  33. 33.Find the HCF of 40 and 50.
  34. 34.Find the LCM of 2, 4 and 8.
  35. 35.Find the HCF of 16 and 56.
  36. 36.Find the LCM of 2, 7 and 10.
  37. 37.Find the LCM of 7, 3 and 11.
  38. 38.Find the HCF of 12 and 42.
  39. 39.Find the HCF of 66 and 77.
  40. 40.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 15. What is the other number?

Answer key

  1. 24
  2. 88
  3. 432
  4. 132
  5. 180
  6. 12
  7. 4
  8. 108
  9. 120
  10. 72
  11. 36
  12. 20
  13. 28
  14. 6
  15. 18
  16. 16
  17. 6
  18. 140
  19. 40
  20. 20
  21. 210
  22. 36
  23. 3
  24. 15
  25. 35
  26. 150
  27. 104
  28. 8
  29. 8
  30. 105
  31. 84
  32. 24
  33. 10
  34. 8
  35. 8
  36. 70
  37. 231
  38. 6
  39. 11
  40. 27

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