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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 522 · 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 6, 2 and 13.
  2. 2.Find the HCF of 56 and 40.
  3. 3.Find the LCM of 2, 9 and 15.
  4. 4.Find the LCM of 15, 12 and 9.
  5. 5.Find the LCM of 12 and 9.
  6. 6.Find the HCF of 8 and 28.
  7. 7.Find the LCM of 3, 4 and 8.
  8. 8.Find the LCM of 28 and 32.
  9. 9.Find the HCF of 63 and 14.
  10. 10.Find the HCF of 18 and 42.
  11. 11.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 63. What is the other number?
  12. 12.Find the LCM of 4, 14 and 6.
  13. 13.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 42. What is the other number?
  14. 14.Find the LCM of 8 and 7.
  15. 15.Find the LCM of 10 and 4.
  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 6 and 5.
  18. 18.Find the HCF of 105 and 135.
  19. 19.Find the HCF of 49 and 42.
  20. 20.Find the LCM of 7 and 8.
  21. 21.Find the LCM of 2, 5 and 10.
  22. 22.Find the LCM of 12, 5 and 15.
  23. 23.Find the HCF of 120 and 105.
  24. 24.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  25. 25.Find the HCF of 91 and 26.
  26. 26.Find the HCF of 30 and 50.
  27. 27.Find the LCM of 4, 12 and 3.
  28. 28.Find the LCM of 5 and 8.
  29. 29.Find the LCM of 2, 14 and 6.
  30. 30.Find the LCM of 16 and 14.
  31. 31.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 45. What is the other number?
  32. 32.Find the LCM of 10 and 8.
  33. 33.Find the HCF of 36 and 81.
  34. 34.Find the LCM of 3, 4 and 15.
  35. 35.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  36. 36.Find the HCF of 15 and 10.
  37. 37.Find the HCF of 25 and 40.
  38. 38.Find the HCF of 33 and 55.
  39. 39.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  40. 40.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?

Answer key

  1. 78
  2. 8
  3. 90
  4. 180
  5. 36
  6. 4
  7. 24
  8. 224
  9. 7
  10. 6
  11. 56
  12. 84
  13. 24
  14. 56
  15. 20
  16. 35
  17. 30
  18. 15
  19. 7
  20. 56
  21. 10
  22. 60
  23. 15
  24. 24
  25. 13
  26. 10
  27. 12
  28. 40
  29. 42
  30. 112
  31. 35
  32. 40
  33. 9
  34. 60
  35. 28
  36. 5
  37. 5
  38. 11
  39. 18
  40. 4

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