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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 33 · 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 HCF of 72 and 60.
  2. 2.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  3. 3.Find the HCF of 40 and 32.
  4. 4.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 24. What is the other number?
  5. 5.Find the HCF of 28 and 70.
  6. 6.Find the HCF of 91 and 52.
  7. 7.Find the HCF of 14 and 16.
  8. 8.Find the LCM of 6, 7 and 4.
  9. 9.Find the LCM of 4, 2 and 15.
  10. 10.Find the HCF of 12 and 18.
  11. 11.Find the LCM of 6, 15 and 2.
  12. 12.Find the LCM of 5 and 8.
  13. 13.Find the LCM of 42 and 12.
  14. 14.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 45. What is the other number?
  15. 15.Find the LCM of 7, 2 and 13.
  16. 16.Find the LCM of 2, 4 and 10.
  17. 17.Find the HCF of 70 and 42.
  18. 18.Find the HCF of 20 and 30.
  19. 19.Find the LCM of 20 and 28.
  20. 20.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  21. 21.Find the LCM of 3, 6 and 15.
  22. 22.Find the HCF of 28 and 42.
  23. 23.Find the HCF of 24 and 28.
  24. 24.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  25. 25.Find the LCM of 7 and 5.
  26. 26.Find the LCM of 5, 15 and 14.
  27. 27.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?
  28. 28.Find the HCF of 108 and 24.
  29. 29.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 14. What is the other number?
  30. 30.Find the LCM of 15, 4 and 12.
  31. 31.Find the LCM of 40 and 15.
  32. 32.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 45. What is the other number?
  33. 33.Find the LCM of 5, 14 and 2.
  34. 34.Find the LCM of 42 and 36.
  35. 35.Find the LCM of 25 and 45.
  36. 36.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 35. What is the other number?
  37. 37.Find the LCM of 28 and 8.
  38. 38.Find the LCM of 12, 2 and 3.
  39. 39.Find the LCM of 3, 4 and 2.
  40. 40.Find the LCM of 2 and 3.

Answer key

  1. 12
  2. 4
  3. 8
  4. 27
  5. 14
  6. 13
  7. 2
  8. 84
  9. 60
  10. 6
  11. 30
  12. 40
  13. 84
  14. 10
  15. 182
  16. 20
  17. 14
  18. 10
  19. 140
  20. 9
  21. 30
  22. 14
  23. 4
  24. 10
  25. 35
  26. 210
  27. 8
  28. 12
  29. 12
  30. 60
  31. 120
  32. 40
  33. 70
  34. 252
  35. 225
  36. 28
  37. 56
  38. 12
  39. 12
  40. 6

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