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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 514 · 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 5, 8 and 15.
  2. 2.Find the HCF of 10 and 16.
  3. 3.Find the LCM of 15 and 27.
  4. 4.Find the HCF of 20 and 90.
  5. 5.Find the LCM of 42 and 48.
  6. 6.Find the LCM of 9, 13 and 2.
  7. 7.Find the LCM of 6, 5 and 9.
  8. 8.Find the HCF of 39 and 91.
  9. 9.Find the LCM of 11, 3 and 7.
  10. 10.Find the LCM of 10 and 14.
  11. 11.Find the HCF of 40 and 70.
  12. 12.Find the HCF of 108 and 60.
  13. 13.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 30. What is the other number?
  14. 14.Find the LCM of 6 and 5.
  15. 15.Find the HCF of 32 and 12.
  16. 16.Find the LCM of 21 and 12.
  17. 17.Find the LCM of 28 and 16.
  18. 18.Find the HCF of 21 and 6.
  19. 19.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 45. What is the other number?
  20. 20.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 35. What is the other number?
  21. 21.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 18. What is the other number?
  22. 22.Find the LCM of 2, 3 and 9.
  23. 23.Find the LCM of 3, 2 and 6.
  24. 24.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  25. 25.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  26. 26.Find the HCF of 6 and 8.
  27. 27.Find the HCF of 65 and 39.
  28. 28.Find the LCM of 4, 9 and 8.
  29. 29.Find the LCM of 6, 2 and 13.
  30. 30.Find the LCM of 20 and 24.
  31. 31.Find the LCM of 4 and 10.
  32. 32.Find the LCM of 18 and 4.
  33. 33.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  34. 34.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 49. What is the other number?
  35. 35.Find the HCF of 39 and 104.
  36. 36.Find the HCF of 33 and 22.
  37. 37.Find the HCF of 30 and 105.
  38. 38.Find the LCM of 27 and 15.
  39. 39.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 15. What is the other number?
  40. 40.Find the HCF of 117 and 26.

Answer key

  1. 120
  2. 2
  3. 135
  4. 10
  5. 336
  6. 234
  7. 90
  8. 13
  9. 231
  10. 70
  11. 10
  12. 12
  13. 12
  14. 30
  15. 4
  16. 84
  17. 112
  18. 3
  19. 35
  20. 49
  21. 42
  22. 18
  23. 6
  24. 18
  25. 15
  26. 2
  27. 13
  28. 72
  29. 78
  30. 120
  31. 20
  32. 36
  33. 32
  34. 21
  35. 13
  36. 11
  37. 15
  38. 135
  39. 18
  40. 13

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