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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 579 · 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.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 54. What is the other number?
  2. 2.Find the LCM of 8 and 6.
  3. 3.Find the LCM of 54 and 12.
  4. 4.Find the LCM of 3, 9 and 2.
  5. 5.Find the LCM of 4, 2 and 15.
  6. 6.Find the LCM of 2, 15 and 8.
  7. 7.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 10. What is the other number?
  8. 8.Find the HCF of 24 and 21.
  9. 9.Find the LCM of 7, 6 and 15.
  10. 10.Find the HCF of 42 and 36.
  11. 11.Find the HCF of 21 and 14.
  12. 12.Find the LCM of 35 and 30.
  13. 13.Find the HCF of 12 and 32.
  14. 14.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 24. What is the other number?
  15. 15.Find the HCF of 91 and 65.
  16. 16.Find the LCM of 12, 3 and 15.
  17. 17.Find the HCF of 56 and 63.
  18. 18.Find the HCF of 48 and 54.
  19. 19.Find the LCM of 5, 15 and 3.
  20. 20.Find the LCM of 7 and 3.
  21. 21.Find the LCM of 18 and 16.
  22. 22.Find the HCF of 39 and 65.
  23. 23.Find the HCF of 48 and 30.
  24. 24.Find the HCF of 10 and 25.
  25. 25.Find the LCM of 12, 6 and 10.
  26. 26.Find the LCM of 8 and 10.
  27. 27.Find the HCF of 42 and 28.
  28. 28.Find the HCF of 32 and 40.
  29. 29.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  30. 30.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  31. 31.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  32. 32.Find the HCF of 44 and 99.
  33. 33.Find the HCF of 40 and 24.
  34. 34.Find the LCM of 3 and 7.
  35. 35.Find the LCM of 15 and 6.
  36. 36.Find the HCF of 27 and 36.
  37. 37.Find the HCF of 15 and 9.
  38. 38.Find the LCM of 15 and 25.
  39. 39.Find the HCF of 96 and 36.
  40. 40.Find the LCM of 6 and 21.

Answer key

  1. 63
  2. 24
  3. 108
  4. 18
  5. 60
  6. 120
  7. 25
  8. 3
  9. 210
  10. 6
  11. 7
  12. 210
  13. 4
  14. 42
  15. 13
  16. 60
  17. 7
  18. 6
  19. 15
  20. 21
  21. 144
  22. 13
  23. 6
  24. 5
  25. 60
  26. 40
  27. 14
  28. 8
  29. 10
  30. 6
  31. 6
  32. 11
  33. 8
  34. 21
  35. 30
  36. 9
  37. 3
  38. 75
  39. 12
  40. 42

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