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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 436 · 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, 8 and 4.
  2. 2.Find the HCF of 50 and 30.
  3. 3.Find the LCM of 13, 10 and 5.
  4. 4.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 20. What is the other number?
  5. 5.Find the LCM of 8 and 7.
  6. 6.Find the LCM of 36 and 20.
  7. 7.Find the HCF of 108 and 24.
  8. 8.Find the HCF of 60 and 48.
  9. 9.Find the LCM of 2, 6 and 3.
  10. 10.Find the HCF of 99 and 55.
  11. 11.Find the LCM of 8, 11 and 4.
  12. 12.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 28. What is the other number?
  13. 13.Find the LCM of 4, 13 and 6.
  14. 14.Find the LCM of 2, 14 and 12.
  15. 15.Find the HCF of 63 and 18.
  16. 16.Find the HCF of 45 and 72.
  17. 17.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 48. What is the other number?
  18. 18.Find the LCM of 4 and 3.
  19. 19.Find the HCF of 18 and 42.
  20. 20.Find the LCM of 12, 6 and 14.
  21. 21.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?
  22. 22.Find the LCM of 15, 3 and 2.
  23. 23.Find the LCM of 4, 13 and 8.
  24. 24.Find the LCM of 2, 5 and 7.
  25. 25.Find the LCM of 12, 15 and 2.
  26. 26.Find the HCF of 9 and 15.
  27. 27.Find the HCF of 24 and 60.
  28. 28.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 16. What is the other number?
  29. 29.Find the HCF of 45 and 120.
  30. 30.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 16. What is the other number?
  31. 31.Find the HCF of 24 and 108.
  32. 32.Find the LCM of 2, 5 and 12.
  33. 33.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 72. What is the other number?
  34. 34.Find the LCM of 25 and 10.
  35. 35.Find the LCM of 42 and 36.
  36. 36.Find the HCF of 60 and 135.
  37. 37.Find the LCM of 3, 4 and 9.
  38. 38.Find the LCM of 12, 6 and 13.
  39. 39.Find the HCF of 80 and 70.
  40. 40.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?

Answer key

  1. 120
  2. 10
  3. 130
  4. 24
  5. 56
  6. 180
  7. 12
  8. 12
  9. 6
  10. 11
  11. 88
  12. 49
  13. 156
  14. 84
  15. 9
  16. 9
  17. 40
  18. 12
  19. 6
  20. 84
  21. 8
  22. 30
  23. 104
  24. 70
  25. 60
  26. 3
  27. 12
  28. 36
  29. 15
  30. 56
  31. 12
  32. 60
  33. 40
  34. 50
  35. 252
  36. 15
  37. 36
  38. 156
  39. 10
  40. 21

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