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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 383 · 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 25 and 40.
  2. 2.Find the HCF of 12 and 30.
  3. 3.Find the LCM of 2, 9 and 11.
  4. 4.Find the HCF of 24 and 18.
  5. 5.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 24. What is the other number?
  6. 6.Find the LCM of 21 and 6.
  7. 7.Find the HCF of 15 and 25.
  8. 8.Find the LCM of 8, 7 and 4.
  9. 9.Find the LCM of 14 and 6.
  10. 10.Find the HCF of 25 and 10.
  11. 11.Find the HCF of 91 and 52.
  12. 12.Find the HCF of 42 and 12.
  13. 13.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 42. What is the other number?
  14. 14.Find the LCM of 14, 10 and 6.
  15. 15.Find the HCF of 26 and 91.
  16. 16.Find the LCM of 10 and 12.
  17. 17.Find the HCF of 36 and 48.
  18. 18.Find the HCF of 22 and 99.
  19. 19.Find the LCM of 6, 4 and 7.
  20. 20.Find the LCM of 36 and 20.
  21. 21.Find the LCM of 2, 12 and 7.
  22. 22.Find the LCM of 20 and 45.
  23. 23.Find the LCM of 15, 14 and 2.
  24. 24.Find the HCF of 96 and 108.
  25. 25.Find the LCM of 5 and 8.
  26. 26.Find the LCM of 4 and 7.
  27. 27.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 36. What is the other number?
  28. 28.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 45. What is the other number?
  29. 29.Find the HCF of 36 and 27.
  30. 30.Find the LCM of 6, 2 and 3.
  31. 31.Find the LCM of 45 and 20.
  32. 32.Find the HCF of 54 and 30.
  33. 33.Find the LCM of 4 and 6.
  34. 34.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 54. What is the other number?
  35. 35.Find the LCM of 48 and 42.
  36. 36.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 30. What is the other number?
  37. 37.Find the LCM of 11, 15 and 3.
  38. 38.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 30. What is the other number?
  39. 39.Find the LCM of 10 and 35.
  40. 40.Find the LCM of 3 and 7.

Answer key

  1. 200
  2. 6
  3. 198
  4. 6
  5. 21
  6. 42
  7. 5
  8. 56
  9. 42
  10. 5
  11. 13
  12. 6
  13. 12
  14. 210
  15. 13
  16. 60
  17. 12
  18. 11
  19. 84
  20. 180
  21. 84
  22. 180
  23. 210
  24. 12
  25. 40
  26. 28
  27. 45
  28. 27
  29. 9
  30. 6
  31. 180
  32. 6
  33. 12
  34. 42
  35. 336
  36. 42
  37. 165
  38. 54
  39. 70
  40. 21

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