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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 572 · 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 6 and 9.
  2. 2.Find the LCM of 5, 2 and 8.
  3. 3.Find the LCM of 12, 11 and 4.
  4. 4.Find the LCM of 25 and 30.
  5. 5.Find the LCM of 9 and 24.
  6. 6.Find the HCF of 48 and 30.
  7. 7.Find the LCM of 6 and 15.
  8. 8.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 27. What is the other number?
  9. 9.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 36. What is the other number?
  10. 10.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 40. What is the other number?
  11. 11.Find the HCF of 16 and 72.
  12. 12.Find the LCM of 7, 15 and 6.
  13. 13.Find the HCF of 70 and 60.
  14. 14.Find the HCF of 15 and 40.
  15. 15.Find the HCF of 45 and 120.
  16. 16.Find the LCM of 8 and 28.
  17. 17.Find the HCF of 15 and 6.
  18. 18.Find the LCM of 4, 5 and 6.
  19. 19.Find the LCM of 35 and 30.
  20. 20.Find the LCM of 6, 2 and 14.
  21. 21.Find the LCM of 10, 9 and 3.
  22. 22.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  23. 23.Find the LCM of 4, 3 and 2.
  24. 24.Find the HCF of 12 and 10.
  25. 25.Find the LCM of 28 and 36.
  26. 26.Find the LCM of 25 and 15.
  27. 27.Find the HCF of 56 and 98.
  28. 28.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 56. What is the other number?
  29. 29.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 18. What is the other number?
  30. 30.Find the HCF of 40 and 72.
  31. 31.Find the LCM of 14 and 16.
  32. 32.Find the HCF of 52 and 91.
  33. 33.Find the HCF of 40 and 70.
  34. 34.Find the LCM of 5, 3 and 14.
  35. 35.Find the HCF of 27 and 36.
  36. 36.Find the LCM of 2, 7 and 4.
  37. 37.Find the LCM of 6, 15 and 7.
  38. 38.Find the LCM of 20 and 28.
  39. 39.Find the HCF of 90 and 80.
  40. 40.Find the HCF of 9 and 21.

Answer key

  1. 18
  2. 40
  3. 132
  4. 150
  5. 72
  6. 6
  7. 30
  8. 63
  9. 30
  10. 16
  11. 8
  12. 210
  13. 10
  14. 5
  15. 15
  16. 56
  17. 3
  18. 60
  19. 210
  20. 42
  21. 90
  22. 24
  23. 12
  24. 2
  25. 252
  26. 75
  27. 14
  28. 16
  29. 15
  30. 8
  31. 112
  32. 13
  33. 10
  34. 210
  35. 9
  36. 28
  37. 210
  38. 140
  39. 10
  40. 3

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