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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 438 · 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 15, 6 and 3.
  2. 2.Find the HCF of 27 and 72.
  3. 3.Find the LCM of 25 and 15.
  4. 4.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  5. 5.Find the LCM of 7, 2 and 11.
  6. 6.Find the LCM of 27 and 15.
  7. 7.Find the LCM of 30 and 24.
  8. 8.Find the LCM of 10 and 14.
  9. 9.Find the HCF of 14 and 4.
  10. 10.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 72. What is the other number?
  11. 11.Find the LCM of 5 and 8.
  12. 12.Find the HCF of 6 and 21.
  13. 13.Find the LCM of 32 and 20.
  14. 14.Find the LCM of 15 and 40.
  15. 15.Find the HCF of 27 and 15.
  16. 16.Find the HCF of 42 and 98.
  17. 17.Find the HCF of 63 and 56.
  18. 18.Find the LCM of 10, 14 and 4.
  19. 19.Find the HCF of 18 and 42.
  20. 20.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 42. What is the other number?
  21. 21.Find the HCF of 8 and 20.
  22. 22.Find the HCF of 99 and 88.
  23. 23.Find the HCF of 40 and 90.
  24. 24.Find the LCM of 27 and 12.
  25. 25.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  26. 26.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 21. What is the other number?
  27. 27.Find the HCF of 16 and 14.
  28. 28.Find the LCM of 6, 7 and 12.
  29. 29.Find the HCF of 21 and 9.
  30. 30.Find the LCM of 7, 2 and 15.
  31. 31.Find the HCF of 20 and 12.
  32. 32.Find the LCM of 3 and 7.
  33. 33.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 49. What is the other number?
  34. 34.Find the LCM of 3, 2 and 9.
  35. 35.Find the HCF of 12 and 20.
  36. 36.Find the HCF of 12 and 10.
  37. 37.Find the HCF of 35 and 49.
  38. 38.Find the LCM of 7 and 6.
  39. 39.Find the HCF of 8 and 10.
  40. 40.Find the LCM of 2, 7 and 5.

Answer key

  1. 30
  2. 9
  3. 75
  4. 6
  5. 154
  6. 135
  7. 120
  8. 70
  9. 2
  10. 16
  11. 40
  12. 3
  13. 160
  14. 120
  15. 3
  16. 14
  17. 7
  18. 140
  19. 6
  20. 12
  21. 4
  22. 11
  23. 10
  24. 108
  25. 28
  26. 28
  27. 2
  28. 84
  29. 3
  30. 210
  31. 4
  32. 21
  33. 28
  34. 18
  35. 4
  36. 2
  37. 7
  38. 42
  39. 2
  40. 70

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