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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 698 · 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 2 and 3.
  2. 2.Find the HCF of 90 and 105.
  3. 3.Find the HCF of 104 and 65.
  4. 4.Find the LCM of 6, 9 and 12.
  5. 5.Find the HCF of 98 and 28.
  6. 6.Find the HCF of 28 and 12.
  7. 7.Find the LCM of 5, 6 and 4.
  8. 8.Find the LCM of 12 and 8.
  9. 9.Find the HCF of 63 and 56.
  10. 10.Find the LCM of 4, 13 and 2.
  11. 11.Find the HCF of 44 and 77.
  12. 12.Find the HCF of 24 and 27.
  13. 13.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 21. What is the other number?
  14. 14.Find the LCM of 12 and 54.
  15. 15.Find the LCM of 12 and 42.
  16. 16.Find the LCM of 13, 2 and 14.
  17. 17.Find the LCM of 18 and 42.
  18. 18.Find the LCM of 7, 5 and 15.
  19. 19.Find the LCM of 3 and 7.
  20. 20.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 28. What is the other number?
  21. 21.Find the LCM of 45 and 20.
  22. 22.Find the HCF of 32 and 40.
  23. 23.Find the HCF of 36 and 8.
  24. 24.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 15. What is the other number?
  25. 25.Find the HCF of 50 and 70.
  26. 26.Find the LCM of 2, 12 and 7.
  27. 27.Find the LCM of 12, 5 and 4.
  28. 28.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 20. What is the other number?
  29. 29.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  30. 30.Find the LCM of 5, 10 and 8.
  31. 31.Find the LCM of 54 and 48.
  32. 32.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 42. What is the other number?
  33. 33.Find the LCM of 25 and 35.
  34. 34.Find the HCF of 70 and 80.
  35. 35.Find the LCM of 4 and 7.
  36. 36.Find the LCM of 48 and 54.
  37. 37.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 48. What is the other number?
  38. 38.Find the HCF of 81 and 63.
  39. 39.Find the HCF of 50 and 20.
  40. 40.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 24. What is the other number?

Answer key

  1. 6
  2. 15
  3. 13
  4. 36
  5. 14
  6. 4
  7. 60
  8. 24
  9. 7
  10. 52
  11. 11
  12. 3
  13. 49
  14. 108
  15. 84
  16. 182
  17. 126
  18. 105
  19. 21
  20. 35
  21. 180
  22. 8
  23. 4
  24. 20
  25. 10
  26. 84
  27. 60
  28. 28
  29. 6
  30. 40
  31. 432
  32. 36
  33. 175
  34. 10
  35. 28
  36. 432
  37. 54
  38. 9
  39. 10
  40. 56

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