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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 118 · 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 78 and 65.
  2. 2.Find the LCM of 6 and 15.
  3. 3.Find the LCM of 10 and 15.
  4. 4.Find the LCM of 21 and 27.
  5. 5.Find the HCF of 42 and 36.
  6. 6.Find the LCM of 12, 9 and 3.
  7. 7.Find the HCF of 28 and 42.
  8. 8.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 14. What is the other number?
  9. 9.Find the LCM of 5, 15 and 8.
  10. 10.Find the LCM of 8 and 3.
  11. 11.Find the HCF of 105 and 60.
  12. 12.Find the LCM of 3, 9 and 2.
  13. 13.Find the LCM of 20 and 25.
  14. 14.Find the LCM of 10, 4 and 11.
  15. 15.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 54. What is the other number?
  16. 16.Find the LCM of 12 and 21.
  17. 17.Find the HCF of 84 and 96.
  18. 18.Find the LCM of 36 and 8.
  19. 19.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  20. 20.Find the LCM of 5, 2 and 15.
  21. 21.Find the HCF of 25 and 20.
  22. 22.Find the LCM of 12 and 8.
  23. 23.Find the HCF of 40 and 25.
  24. 24.Find the LCM of 54 and 42.
  25. 25.Find the HCF of 84 and 24.
  26. 26.Find the LCM of 4, 11 and 3.
  27. 27.Find the LCM of 2, 8 and 10.
  28. 28.Find the LCM of 25 and 30.
  29. 29.Find the LCM of 4 and 3.
  30. 30.Find the HCF of 21 and 9.
  31. 31.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  32. 32.Find the LCM of 14, 2 and 9.
  33. 33.Find the LCM of 2, 10 and 13.
  34. 34.Find the HCF of 10 and 25.
  35. 35.Find the HCF of 35 and 30.
  36. 36.Find the HCF of 12 and 21.
  37. 37.Find the LCM of 20 and 8.
  38. 38.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 28. What is the other number?
  39. 39.Find the LCM of 30 and 48.
  40. 40.Find the LCM of 3, 2 and 7.

Answer key

  1. 13
  2. 30
  3. 30
  4. 189
  5. 6
  6. 36
  7. 14
  8. 8
  9. 120
  10. 24
  11. 15
  12. 18
  13. 100
  14. 220
  15. 24
  16. 84
  17. 12
  18. 72
  19. 21
  20. 30
  21. 5
  22. 24
  23. 5
  24. 378
  25. 12
  26. 132
  27. 40
  28. 150
  29. 12
  30. 3
  31. 10
  32. 126
  33. 130
  34. 5
  35. 5
  36. 3
  37. 40
  38. 32
  39. 240
  40. 42

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