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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 728 · 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 42 and 36.
  2. 2.Find the LCM of 36 and 8.
  3. 3.Find the LCM of 15, 6 and 7.
  4. 4.Find the LCM of 8 and 36.
  5. 5.Find the LCM of 8 and 14.
  6. 6.Find the HCF of 15 and 10.
  7. 7.Find the HCF of 36 and 96.
  8. 8.Find the HCF of 70 and 56.
  9. 9.Find the HCF of 12 and 32.
  10. 10.Find the LCM of 3, 8 and 6.
  11. 11.Find the LCM of 4 and 10.
  12. 12.Find the LCM of 25 and 15.
  13. 13.Find the HCF of 48 and 54.
  14. 14.Find the LCM of 45 and 35.
  15. 15.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 72. What is the other number?
  16. 16.Find the LCM of 54 and 24.
  17. 17.Find the HCF of 15 and 12.
  18. 18.Find the LCM of 6, 5 and 15.
  19. 19.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  20. 20.Find the LCM of 3 and 7.
  21. 21.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?
  22. 22.Find the HCF of 65 and 117.
  23. 23.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 30. What is the other number?
  24. 24.Find the HCF of 15 and 40.
  25. 25.Find the HCF of 96 and 84.
  26. 26.Find the HCF of 117 and 52.
  27. 27.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 12. What is the other number?
  28. 28.Find the HCF of 32 and 20.
  29. 29.Find the LCM of 10 and 15.
  30. 30.Find the LCM of 15 and 25.
  31. 31.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  32. 32.Find the LCM of 12, 8 and 10.
  33. 33.Find the LCM of 3, 4 and 14.
  34. 34.Find the LCM of 4, 2 and 11.
  35. 35.Find the LCM of 10 and 6.
  36. 36.Find the HCF of 15 and 18.
  37. 37.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 63. What is the other number?
  38. 38.Find the LCM of 12, 2 and 11.
  39. 39.Find the LCM of 5, 15 and 6.
  40. 40.Find the HCF of 21 and 56.

Answer key

  1. 252
  2. 72
  3. 210
  4. 72
  5. 56
  6. 5
  7. 12
  8. 14
  9. 4
  10. 24
  11. 20
  12. 75
  13. 6
  14. 315
  15. 40
  16. 216
  17. 3
  18. 30
  19. 63
  20. 21
  21. 14
  22. 13
  23. 18
  24. 5
  25. 12
  26. 13
  27. 54
  28. 4
  29. 30
  30. 75
  31. 18
  32. 120
  33. 84
  34. 44
  35. 30
  36. 3
  37. 14
  38. 132
  39. 30
  40. 7

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