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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 272 · 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 3, 7 and 8.
  2. 2.Find the HCF of 30 and 36.
  3. 3.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 56. What is the other number?
  4. 4.Find the LCM of 10, 6 and 14.
  5. 5.Find the LCM of 3, 10 and 2.
  6. 6.Find the LCM of 2, 13 and 9.
  7. 7.Find the HCF of 32 and 28.
  8. 8.Find the LCM of 35 and 15.
  9. 9.Find the HCF of 30 and 105.
  10. 10.Find the LCM of 10, 15 and 6.
  11. 11.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 14. What is the other number?
  12. 12.Find the LCM of 21 and 12.
  13. 13.Find the LCM of 8, 2 and 4.
  14. 14.Find the LCM of 3, 4 and 7.
  15. 15.Find the HCF of 33 and 44.
  16. 16.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 30. What is the other number?
  17. 17.Find the LCM of 4, 15 and 5.
  18. 18.Find the LCM of 21 and 15.
  19. 19.Find the LCM of 14 and 12.
  20. 20.Find the LCM of 6 and 7.
  21. 21.Find the HCF of 60 and 84.
  22. 22.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 30. What is the other number?
  23. 23.Find the LCM of 54 and 12.
  24. 24.Find the HCF of 40 and 50.
  25. 25.Find the LCM of 18 and 42.
  26. 26.Find the HCF of 21 and 56.
  27. 27.Find the LCM of 12 and 20.
  28. 28.Find the LCM of 15, 2 and 9.
  29. 29.Find the HCF of 108 and 48.
  30. 30.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 4. What is the other number?
  31. 31.Find the HCF of 96 and 84.
  32. 32.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 35. What is the other number?
  33. 33.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 54. What is the other number?
  34. 34.Find the LCM of 6 and 8.
  35. 35.Find the LCM of 7 and 6.
  36. 36.Find the LCM of 4, 15 and 2.
  37. 37.Find the LCM of 40 and 25.
  38. 38.Find the LCM of 14, 2 and 12.
  39. 39.Find the HCF of 50 and 80.
  40. 40.Find the LCM of 8, 15 and 10.

Answer key

  1. 168
  2. 6
  3. 49
  4. 210
  5. 30
  6. 234
  7. 4
  8. 105
  9. 15
  10. 30
  11. 35
  12. 84
  13. 8
  14. 84
  15. 11
  16. 35
  17. 60
  18. 105
  19. 84
  20. 42
  21. 12
  22. 24
  23. 108
  24. 10
  25. 126
  26. 7
  27. 60
  28. 90
  29. 12
  30. 10
  31. 12
  32. 21
  33. 48
  34. 24
  35. 42
  36. 60
  37. 200
  38. 84
  39. 10
  40. 120

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