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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 651 · 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 8, 2 and 10.
  2. 2.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 64. What is the other number?
  3. 3.Find the LCM of 4 and 6.
  4. 4.Find the LCM of 2, 5 and 4.
  5. 5.Find the LCM of 4, 6 and 3.
  6. 6.Find the LCM of 2, 7 and 6.
  7. 7.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 18. What is the other number?
  8. 8.Find the HCF of 84 and 48.
  9. 9.Find the LCM of 3, 5 and 2.
  10. 10.Find the HCF of 28 and 63.
  11. 11.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?
  12. 12.Find the HCF of 88 and 33.
  13. 13.Find the LCM of 24 and 27.
  14. 14.Find the LCM of 2, 4 and 8.
  15. 15.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
  16. 16.Find the LCM of 2, 11 and 3.
  17. 17.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 30. What is the other number?
  18. 18.Find the HCF of 9 and 12.
  19. 19.Find the HCF of 16 and 20.
  20. 20.Find the LCM of 20 and 12.
  21. 21.Find the LCM of 12 and 27.
  22. 22.Find the LCM of 6, 3 and 4.
  23. 23.Find the HCF of 15 and 40.
  24. 24.Find the HCF of 10 and 45.
  25. 25.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 24. What is the other number?
  26. 26.Find the LCM of 11, 5 and 10.
  27. 27.Find the HCF of 15 and 35.
  28. 28.Find the HCF of 108 and 84.
  29. 29.Find the LCM of 6, 4 and 14.
  30. 30.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 64. What is the other number?
  31. 31.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 15. What is the other number?
  32. 32.Find the LCM of 3, 6 and 4.
  33. 33.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 63. What is the other number?
  34. 34.Find the HCF of 84 and 108.
  35. 35.Find the LCM of 2, 3 and 10.
  36. 36.Find the LCM of 2 and 3.
  37. 37.Find the LCM of 4 and 10.
  38. 38.Find the HCF of 15 and 12.
  39. 39.Find the LCM of 30 and 42.
  40. 40.Find the LCM of 30 and 36.

Answer key

  1. 40
  2. 72
  3. 12
  4. 20
  5. 12
  6. 42
  7. 42
  8. 12
  9. 30
  10. 7
  11. 20
  12. 11
  13. 216
  14. 8
  15. 15
  16. 66
  17. 18
  18. 3
  19. 4
  20. 60
  21. 108
  22. 12
  23. 5
  24. 5
  25. 56
  26. 110
  27. 5
  28. 12
  29. 84
  30. 56
  31. 20
  32. 12
  33. 27
  34. 12
  35. 30
  36. 6
  37. 20
  38. 3
  39. 210
  40. 180

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