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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 714 · 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 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  2. 2.Find the LCM of 11, 6 and 3.
  3. 3.Find the HCF of 28 and 16.
  4. 4.Find the LCM of 20 and 24.
  5. 5.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  6. 6.Find the LCM of 12 and 18.
  7. 7.Find the HCF of 30 and 48.
  8. 8.Find the HCF of 4 and 18.
  9. 9.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 49. What is the other number?
  10. 10.Find the LCM of 54 and 42.
  11. 11.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  12. 12.Find the LCM of 8 and 7.
  13. 13.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 56. What is the other number?
  14. 14.Find the LCM of 15, 4 and 10.
  15. 15.Find the LCM of 7, 5 and 15.
  16. 16.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 63. What is the other number?
  17. 17.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 49. What is the other number?
  18. 18.Find the LCM of 5, 4 and 6.
  19. 19.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  20. 20.Find the LCM of 21 and 15.
  21. 21.Find the HCF of 39 and 52.
  22. 22.Find the LCM of 12, 4 and 2.
  23. 23.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  24. 24.Find the LCM of 3 and 7.
  25. 25.Find the LCM of 3, 6 and 9.
  26. 26.Find the LCM of 10 and 6.
  27. 27.Find the LCM of 6, 15 and 2.
  28. 28.Find the HCF of 52 and 91.
  29. 29.Find the HCF of 16 and 56.
  30. 30.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  31. 31.Find the LCM of 15, 9 and 6.
  32. 32.Find the HCF of 6 and 21.
  33. 33.Find the LCM of 13, 14 and 2.
  34. 34.Find the LCM of 24 and 18.
  35. 35.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 30. What is the other number?
  36. 36.Find the LCM of 4, 3 and 14.
  37. 37.Find the HCF of 28 and 42.
  38. 38.Find the HCF of 18 and 48.
  39. 39.Find the HCF of 56 and 98.
  40. 40.Find the LCM of 9, 2 and 15.

Answer key

  1. 4
  2. 66
  3. 4
  4. 120
  5. 15
  6. 36
  7. 6
  8. 2
  9. 42
  10. 378
  11. 14
  12. 56
  13. 21
  14. 60
  15. 105
  16. 81
  17. 21
  18. 60
  19. 12
  20. 105
  21. 13
  22. 12
  23. 10
  24. 21
  25. 18
  26. 30
  27. 30
  28. 13
  29. 8
  30. 8
  31. 90
  32. 3
  33. 182
  34. 72
  35. 25
  36. 84
  37. 14
  38. 6
  39. 14
  40. 90

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