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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 294 · 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 8, 12 and 4.
  2. 2.Find the LCM of 5, 11 and 15.
  3. 3.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 28. What is the other number?
  4. 4.Find the LCM of 9 and 12.
  5. 5.Find the HCF of 112 and 42.
  6. 6.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 48. What is the other number?
  7. 7.Find the LCM of 18 and 15.
  8. 8.Find the LCM of 45 and 25.
  9. 9.Find the LCM of 7, 3 and 6.
  10. 10.Find the LCM of 2, 13 and 14.
  11. 11.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 45. What is the other number?
  12. 12.Find the HCF of 20 and 70.
  13. 13.Find the HCF of 8 and 20.
  14. 14.Find the LCM of 5 and 8.
  15. 15.Find the LCM of 48 and 42.
  16. 16.Find the HCF of 15 and 20.
  17. 17.Find the LCM of 4, 10 and 8.
  18. 18.Find the LCM of 5 and 6.
  19. 19.Find the LCM of 24 and 28.
  20. 20.Find the LCM of 24 and 20.
  21. 21.Find the LCM of 16 and 14.
  22. 22.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  23. 23.Find the LCM of 6 and 4.
  24. 24.Find the HCF of 65 and 26.
  25. 25.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 48. What is the other number?
  26. 26.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  27. 27.Find the HCF of 18 and 14.
  28. 28.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 45. What is the other number?
  29. 29.Find the HCF of 10 and 6.
  30. 30.Find the HCF of 30 and 20.
  31. 31.Find the HCF of 39 and 91.
  32. 32.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 30. What is the other number?
  33. 33.Find the LCM of 5, 2 and 4.
  34. 34.Find the LCM of 14, 10 and 15.
  35. 35.Find the LCM of 7, 12 and 4.
  36. 36.Find the LCM of 42 and 48.
  37. 37.Find the HCF of 15 and 12.
  38. 38.Find the LCM of 9, 11 and 3.
  39. 39.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 18. What is the other number?
  40. 40.Find the LCM of 3, 4 and 10.

Answer key

  1. 24
  2. 165
  3. 24
  4. 36
  5. 14
  6. 56
  7. 90
  8. 225
  9. 42
  10. 182
  11. 40
  12. 10
  13. 4
  14. 40
  15. 336
  16. 5
  17. 40
  18. 30
  19. 168
  20. 120
  21. 112
  22. 18
  23. 12
  24. 13
  25. 30
  26. 24
  27. 2
  28. 35
  29. 2
  30. 10
  31. 13
  32. 42
  33. 20
  34. 210
  35. 84
  36. 336
  37. 3
  38. 99
  39. 30
  40. 60

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