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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 597 · 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 35 and 45.
  2. 2.Find the LCM of 5, 7 and 2.
  3. 3.Find the LCM of 35 and 40.
  4. 4.Find the LCM of 4, 5 and 12.
  5. 5.Find the LCM of 2, 9 and 3.
  6. 6.Find the HCF of 33 and 88.
  7. 7.Find the HCF of 16 and 28.
  8. 8.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 20. What is the other number?
  9. 9.Find the LCM of 20 and 28.
  10. 10.Find the HCF of 84 and 36.
  11. 11.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  12. 12.Find the LCM of 6, 12 and 15.
  13. 13.Find the LCM of 3, 5 and 15.
  14. 14.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 42. What is the other number?
  15. 15.Find the HCF of 12 and 20.
  16. 16.Find the LCM of 2, 14 and 10.
  17. 17.Find the HCF of 120 and 135.
  18. 18.Find the HCF of 26 and 91.
  19. 19.Find the LCM of 18 and 15.
  20. 20.Find the LCM of 14, 8 and 7.
  21. 21.Find the LCM of 32 and 12.
  22. 22.Find the HCF of 45 and 35.
  23. 23.Find the LCM of 6 and 4.
  24. 24.Find the LCM of 8, 12 and 9.
  25. 25.Find the HCF of 18 and 21.
  26. 26.Find the LCM of 10, 2 and 5.
  27. 27.Find the LCM of 4, 8 and 11.
  28. 28.Find the LCM of 54 and 48.
  29. 29.Find the HCF of 21 and 15.
  30. 30.Find the HCF of 40 and 35.
  31. 31.Find the HCF of 60 and 48.
  32. 32.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 8. What is the other number?
  33. 33.Find the LCM of 2, 4 and 6.
  34. 34.Find the LCM of 14 and 6.
  35. 35.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 72. What is the other number?
  36. 36.Find the LCM of 20 and 32.
  37. 37.Find the LCM of 8 and 6.
  38. 38.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 20. What is the other number?
  39. 39.Find the LCM of 2, 12 and 3.
  40. 40.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?

Answer key

  1. 315
  2. 70
  3. 280
  4. 60
  5. 18
  6. 11
  7. 4
  8. 24
  9. 140
  10. 12
  11. 32
  12. 60
  13. 15
  14. 24
  15. 4
  16. 70
  17. 15
  18. 13
  19. 90
  20. 56
  21. 96
  22. 5
  23. 12
  24. 72
  25. 3
  26. 10
  27. 88
  28. 432
  29. 3
  30. 5
  31. 12
  32. 14
  33. 12
  34. 42
  35. 81
  36. 160
  37. 24
  38. 36
  39. 12
  40. 8

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