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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 100 · 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 24 and 15.
  2. 2.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?
  3. 3.Find the LCM of 24 and 27.
  4. 4.Find the LCM of 7, 4 and 12.
  5. 5.Find the LCM of 14 and 16.
  6. 6.Find the HCF of 45 and 120.
  7. 7.Find the HCF of 25 and 30.
  8. 8.Find the LCM of 18 and 21.
  9. 9.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 48. What is the other number?
  10. 10.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
  11. 11.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 30. What is the other number?
  12. 12.Find the HCF of 16 and 72.
  13. 13.Find the HCF of 36 and 32.
  14. 14.Find the HCF of 45 and 25.
  15. 15.Find the LCM of 3, 5 and 15.
  16. 16.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 42. What is the other number?
  17. 17.Find the HCF of 105 and 30.
  18. 18.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  19. 19.Find the LCM of 16 and 36.
  20. 20.Find the LCM of 48 and 30.
  21. 21.Find the LCM of 4 and 18.
  22. 22.Find the HCF of 44 and 55.
  23. 23.Find the LCM of 3, 15 and 5.
  24. 24.Find the HCF of 6 and 15.
  25. 25.Find the LCM of 15 and 35.
  26. 26.Find the LCM of 36 and 42.
  27. 27.Find the LCM of 12, 9 and 4.
  28. 28.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 32. What is the other number?
  29. 29.Find the HCF of 77 and 55.
  30. 30.Find the LCM of 28 and 16.
  31. 31.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 21. What is the other number?
  32. 32.Find the LCM of 10, 2 and 15.
  33. 33.Find the LCM of 2, 4 and 13.
  34. 34.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 27. What is the other number?
  35. 35.Find the HCF of 15 and 27.
  36. 36.Find the LCM of 20 and 24.
  37. 37.Find the HCF of 10 and 45.
  38. 38.Find the LCM of 2, 9 and 15.
  39. 39.Find the LCM of 12 and 30.
  40. 40.Find the HCF of 65 and 39.

Answer key

  1. 120
  2. 14
  3. 216
  4. 84
  5. 112
  6. 15
  7. 5
  8. 126
  9. 30
  10. 9
  11. 25
  12. 8
  13. 4
  14. 5
  15. 15
  16. 49
  17. 15
  18. 18
  19. 144
  20. 240
  21. 36
  22. 11
  23. 15
  24. 3
  25. 105
  26. 252
  27. 36
  28. 40
  29. 11
  30. 112
  31. 35
  32. 30
  33. 52
  34. 12
  35. 3
  36. 120
  37. 5
  38. 90
  39. 60
  40. 13

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