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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 146 · 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 11, 5 and 15.
  2. 2.Find the LCM of 15 and 24.
  3. 3.Find the HCF of 40 and 35.
  4. 4.Find the LCM of 6, 8 and 5.
  5. 5.Find the LCM of 10, 2 and 4.
  6. 6.Find the LCM of 20 and 28.
  7. 7.Find the LCM of 15, 3 and 6.
  8. 8.Find the LCM of 8, 5 and 4.
  9. 9.Find the LCM of 28 and 12.
  10. 10.Find the LCM of 9 and 21.
  11. 11.Find the HCF of 39 and 65.
  12. 12.Find the LCM of 8 and 12.
  13. 13.Find the LCM of 7, 10 and 5.
  14. 14.Find the LCM of 7, 13 and 2.
  15. 15.Find the LCM of 35 and 45.
  16. 16.Find the HCF of 21 and 6.
  17. 17.Find the LCM of 6, 2 and 3.
  18. 18.Find the LCM of 8, 15 and 6.
  19. 19.Find the HCF of 90 and 20.
  20. 20.Find the LCM of 36 and 42.
  21. 21.Find the LCM of 28 and 16.
  22. 22.Find the LCM of 3, 6 and 14.
  23. 23.Find the HCF of 60 and 45.
  24. 24.Find the HCF of 18 and 48.
  25. 25.Find the LCM of 9 and 4.
  26. 26.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 8. What is the other number?
  27. 27.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 20. What is the other number?
  28. 28.Find the LCM of 16 and 20.
  29. 29.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 16. What is the other number?
  30. 30.Find the LCM of 27 and 24.
  31. 31.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 48. What is the other number?
  32. 32.Find the LCM of 2, 4 and 13.
  33. 33.Find the LCM of 36 and 8.
  34. 34.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  35. 35.Find the LCM of 15 and 40.
  36. 36.Find the LCM of 6 and 4.
  37. 37.Find the LCM of 14, 12 and 2.
  38. 38.Find the LCM of 45 and 40.
  39. 39.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  40. 40.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 54. What is the other number?

Answer key

  1. 165
  2. 120
  3. 5
  4. 120
  5. 20
  6. 140
  7. 30
  8. 40
  9. 84
  10. 63
  11. 13
  12. 24
  13. 70
  14. 182
  15. 315
  16. 3
  17. 6
  18. 120
  19. 10
  20. 252
  21. 112
  22. 42
  23. 15
  24. 6
  25. 36
  26. 18
  27. 45
  28. 80
  29. 36
  30. 216
  31. 56
  32. 52
  33. 72
  34. 15
  35. 120
  36. 12
  37. 84
  38. 360
  39. 14
  40. 48

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