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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 374 · 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 4, 10 and 8.
  2. 2.Find the LCM of 3, 8 and 9.
  3. 3.Find the LCM of 9, 12 and 6.
  4. 4.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 42. What is the other number?
  5. 5.Find the HCF of 64 and 56.
  6. 6.Find the HCF of 16 and 12.
  7. 7.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  8. 8.Find the HCF of 22 and 99.
  9. 9.Find the LCM of 11, 4 and 2.
  10. 10.Find the HCF of 12 and 9.
  11. 11.Find the HCF of 12 and 18.
  12. 12.Find the LCM of 11, 6 and 2.
  13. 13.Find the LCM of 6, 7 and 15.
  14. 14.Find the LCM of 3, 5 and 2.
  15. 15.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 35. What is the other number?
  16. 16.Find the LCM of 10 and 25.
  17. 17.Find the LCM of 28 and 20.
  18. 18.Find the LCM of 4, 3 and 7.
  19. 19.Find the HCF of 21 and 14.
  20. 20.Find the HCF of 24 and 28.
  21. 21.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 12. What is the other number?
  22. 22.Find the HCF of 12 and 27.
  23. 23.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?
  24. 24.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 63. What is the other number?
  25. 25.Find the LCM of 14 and 6.
  26. 26.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  27. 27.Find the HCF of 42 and 48.
  28. 28.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 25. What is the other number?
  29. 29.Find the HCF of 112 and 126.
  30. 30.Find the LCM of 32 and 20.
  31. 31.Find the LCM of 9, 14 and 7.
  32. 32.Find the LCM of 5, 4 and 10.
  33. 33.Find the LCM of 25 and 20.
  34. 34.Find the HCF of 30 and 20.
  35. 35.Find the HCF of 96 and 36.
  36. 36.Find the LCM of 24 and 54.
  37. 37.Find the LCM of 42 and 18.
  38. 38.Find the LCM of 2, 9 and 10.
  39. 39.Find the LCM of 7 and 8.
  40. 40.Find the HCF of 126 and 28.

Answer key

  1. 40
  2. 72
  3. 36
  4. 12
  5. 8
  6. 4
  7. 16
  8. 11
  9. 44
  10. 3
  11. 6
  12. 66
  13. 210
  14. 30
  15. 21
  16. 50
  17. 140
  18. 84
  19. 7
  20. 4
  21. 42
  22. 3
  23. 8
  24. 81
  25. 42
  26. 9
  27. 6
  28. 45
  29. 14
  30. 160
  31. 126
  32. 20
  33. 100
  34. 10
  35. 12
  36. 216
  37. 126
  38. 90
  39. 56
  40. 14

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