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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 642 · 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 9, 12 and 5.
  2. 2.Find the HCF of 40 and 24.
  3. 3.Find the HCF of 24 and 32.
  4. 4.Find the LCM of 54 and 24.
  5. 5.Find the LCM of 10, 2 and 14.
  6. 6.Find the LCM of 11, 3 and 12.
  7. 7.Find the LCM of 12 and 15.
  8. 8.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  9. 9.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 20. What is the other number?
  10. 10.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 32. What is the other number?
  11. 11.Find the LCM of 3, 8 and 9.
  12. 12.Find the HCF of 12 and 21.
  13. 13.Find the LCM of 5, 15 and 6.
  14. 14.Find the LCM of 11, 9 and 3.
  15. 15.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 35. What is the other number?
  16. 16.Find the LCM of 2, 3 and 4.
  17. 17.Find the HCF of 18 and 30.
  18. 18.Find the LCM of 9 and 21.
  19. 19.Find the LCM of 15, 7 and 14.
  20. 20.Find the LCM of 10, 4 and 9.
  21. 21.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  22. 22.Find the LCM of 2, 14 and 11.
  23. 23.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 48. What is the other number?
  24. 24.Find the LCM of 6, 14 and 9.
  25. 25.Find the LCM of 18 and 24.
  26. 26.Find the LCM of 8 and 5.
  27. 27.Find the HCF of 105 and 90.
  28. 28.Find the LCM of 18 and 8.
  29. 29.Find the HCF of 56 and 72.
  30. 30.Find the HCF of 64 and 24.
  31. 31.Find the LCM of 12, 6 and 10.
  32. 32.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  33. 33.Find the LCM of 6, 13 and 4.
  34. 34.Find the HCF of 64 and 40.
  35. 35.Find the LCM of 45 and 20.
  36. 36.Find the LCM of 4, 3 and 8.
  37. 37.Find the LCM of 15 and 9.
  38. 38.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  39. 39.Find the LCM of 8, 4 and 10.
  40. 40.Find the HCF of 70 and 56.

Answer key

  1. 180
  2. 8
  3. 8
  4. 216
  5. 70
  6. 132
  7. 60
  8. 12
  9. 28
  10. 40
  11. 72
  12. 3
  13. 30
  14. 99
  15. 28
  16. 12
  17. 6
  18. 63
  19. 210
  20. 180
  21. 14
  22. 154
  23. 42
  24. 126
  25. 72
  26. 40
  27. 15
  28. 72
  29. 8
  30. 8
  31. 60
  32. 15
  33. 156
  34. 8
  35. 180
  36. 24
  37. 45
  38. 8
  39. 40
  40. 14

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