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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 418 · 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 14 and 18.
  2. 2.Find the HCF of 12 and 9.
  3. 3.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  4. 4.Find the LCM of 16 and 28.
  5. 5.Find the HCF of 63 and 56.
  6. 6.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  7. 7.Find the LCM of 2, 12 and 13.
  8. 8.Find the HCF of 35 and 21.
  9. 9.Find the LCM of 2, 13 and 10.
  10. 10.Find the LCM of 15 and 27.
  11. 11.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  12. 12.Find the HCF of 60 and 96.
  13. 13.Find the LCM of 18 and 10.
  14. 14.Find the HCF of 42 and 30.
  15. 15.Find the LCM of 14, 4 and 2.
  16. 16.Find the LCM of 14 and 12.
  17. 17.Find the LCM of 12 and 30.
  18. 18.Find the LCM of 7 and 6.
  19. 19.Find the LCM of 10, 3 and 15.
  20. 20.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 63. What is the other number?
  21. 21.Find the LCM of 6 and 9.
  22. 22.Find the HCF of 72 and 60.
  23. 23.Find the LCM of 8 and 9.
  24. 24.Find the LCM of 18 and 42.
  25. 25.Find the HCF of 45 and 20.
  26. 26.Find the HCF of 65 and 117.
  27. 27.Find the HCF of 81 and 45.
  28. 28.Find the LCM of 16 and 14.
  29. 29.Find the HCF of 50 and 80.
  30. 30.Find the LCM of 4, 6 and 5.
  31. 31.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 42. What is the other number?
  32. 32.Find the HCF of 70 and 40.
  33. 33.Find the LCM of 15 and 20.
  34. 34.Find the HCF of 33 and 44.
  35. 35.Find the HCF of 33 and 22.
  36. 36.Find the HCF of 9 and 12.
  37. 37.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  38. 38.Find the HCF of 21 and 9.
  39. 39.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?
  40. 40.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 72. What is the other number?

Answer key

  1. 126
  2. 3
  3. 40
  4. 112
  5. 7
  6. 18
  7. 156
  8. 7
  9. 130
  10. 135
  11. 16
  12. 12
  13. 90
  14. 6
  15. 28
  16. 84
  17. 60
  18. 42
  19. 30
  20. 81
  21. 18
  22. 12
  23. 72
  24. 126
  25. 5
  26. 13
  27. 9
  28. 112
  29. 10
  30. 60
  31. 24
  32. 10
  33. 60
  34. 11
  35. 11
  36. 3
  37. 24
  38. 3
  39. 20
  40. 45

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