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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 665 · 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, 2 and 6.
  2. 2.Find the LCM of 9 and 24.
  3. 3.Find the HCF of 56 and 40.
  4. 4.Find the HCF of 8 and 36.
  5. 5.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 15. What is the other number?
  6. 6.Find the LCM of 24 and 21.
  7. 7.Find the LCM of 9, 4 and 5.
  8. 8.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  9. 9.Find the LCM of 36 and 20.
  10. 10.Find the HCF of 18 and 12.
  11. 11.Find the LCM of 18 and 21.
  12. 12.Find the HCF of 20 and 32.
  13. 13.Find the HCF of 25 and 15.
  14. 14.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 28. What is the other number?
  15. 15.Find the LCM of 5 and 9.
  16. 16.Find the HCF of 32 and 28.
  17. 17.Find the HCF of 98 and 56.
  18. 18.Find the LCM of 14, 4 and 8.
  19. 19.Find the LCM of 6 and 27.
  20. 20.Find the LCM of 12, 10 and 9.
  21. 21.Find the LCM of 14, 4 and 2.
  22. 22.Find the HCF of 30 and 40.
  23. 23.Find the HCF of 12 and 20.
  24. 24.Find the LCM of 8 and 14.
  25. 25.Find the LCM of 5 and 8.
  26. 26.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 45. What is the other number?
  27. 27.Find the HCF of 39 and 65.
  28. 28.Find the HCF of 30 and 42.
  29. 29.Find the LCM of 10, 2 and 4.
  30. 30.Find the LCM of 28 and 20.
  31. 31.Find the LCM of 8 and 10.
  32. 32.Find the HCF of 20 and 35.
  33. 33.Find the HCF of 30 and 48.
  34. 34.Find the LCM of 4, 12 and 13.
  35. 35.Find the LCM of 3 and 2.
  36. 36.Find the HCF of 35 and 40.
  37. 37.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 15. What is the other number?
  38. 38.Find the HCF of 35 and 20.
  39. 39.Find the LCM of 12, 3 and 7.
  40. 40.Find the LCM of 7, 8 and 4.

Answer key

  1. 12
  2. 72
  3. 8
  4. 4
  5. 27
  6. 168
  7. 180
  8. 27
  9. 180
  10. 6
  11. 126
  12. 4
  13. 5
  14. 8
  15. 45
  16. 4
  17. 14
  18. 56
  19. 54
  20. 180
  21. 28
  22. 10
  23. 4
  24. 56
  25. 40
  26. 63
  27. 13
  28. 6
  29. 20
  30. 140
  31. 40
  32. 5
  33. 6
  34. 156
  35. 6
  36. 5
  37. 20
  38. 5
  39. 84
  40. 56

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