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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 16 · 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 36 and 42.
  2. 2.Find the HCF of 25 and 10.
  3. 3.Find the HCF of 48 and 84.
  4. 4.Find the HCF of 6 and 8.
  5. 5.Find the LCM of 6, 5 and 3.
  6. 6.Find the HCF of 48 and 36.
  7. 7.Find the HCF of 70 and 40.
  8. 8.Find the LCM of 14 and 6.
  9. 9.Find the HCF of 60 and 48.
  10. 10.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  11. 11.Find the LCM of 20 and 36.
  12. 12.Find the HCF of 70 and 56.
  13. 13.Find the LCM of 25 and 30.
  14. 14.Find the LCM of 5, 8 and 3.
  15. 15.Find the LCM of 2 and 3.
  16. 16.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 45. What is the other number?
  17. 17.Find the HCF of 98 and 84.
  18. 18.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  19. 19.Find the HCF of 25 and 20.
  20. 20.Find the HCF of 35 and 28.
  21. 21.Find the LCM of 28 and 20.
  22. 22.Find the LCM of 4 and 7.
  23. 23.Find the LCM of 12 and 30.
  24. 24.Find the HCF of 24 and 20.
  25. 25.Find the LCM of 35 and 45.
  26. 26.Find the HCF of 84 and 48.
  27. 27.Find the HCF of 10 and 16.
  28. 28.Find the LCM of 24 and 18.
  29. 29.Find the HCF of 108 and 84.
  30. 30.Find the LCM of 10, 12 and 8.
  31. 31.Find the LCM of 20 and 12.
  32. 32.Find the HCF of 39 and 91.
  33. 33.Find the HCF of 14 and 10.
  34. 34.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 48. What is the other number?
  35. 35.Find the LCM of 4, 7 and 5.
  36. 36.Find the LCM of 15 and 27.
  37. 37.Find the LCM of 15, 5 and 11.
  38. 38.Find the LCM of 24 and 54.
  39. 39.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?
  40. 40.Find the LCM of 5 and 3.

Answer key

  1. 252
  2. 5
  3. 12
  4. 2
  5. 30
  6. 12
  7. 10
  8. 42
  9. 12
  10. 21
  11. 180
  12. 14
  13. 150
  14. 120
  15. 6
  16. 40
  17. 14
  18. 10
  19. 5
  20. 7
  21. 140
  22. 28
  23. 60
  24. 4
  25. 315
  26. 12
  27. 2
  28. 72
  29. 12
  30. 120
  31. 60
  32. 13
  33. 2
  34. 42
  35. 140
  36. 135
  37. 165
  38. 216
  39. 18
  40. 15

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