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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 133 · 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 and 9.
  2. 2.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  3. 3.Find the HCF of 39 and 26.
  4. 4.Find the LCM of 8, 4 and 5.
  5. 5.Find the LCM of 20 and 16.
  6. 6.Find the LCM of 42 and 12.
  7. 7.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 35. What is the other number?
  8. 8.Find the LCM of 5 and 8.
  9. 9.Find the LCM of 10 and 15.
  10. 10.Find the LCM of 11, 5 and 3.
  11. 11.Find the LCM of 5, 10 and 3.
  12. 12.Find the LCM of 24 and 28.
  13. 13.Find the LCM of 24 and 9.
  14. 14.Find the LCM of 2 and 9.
  15. 15.Find the LCM of 28 and 36.
  16. 16.Find the LCM of 6, 15 and 9.
  17. 17.Find the LCM of 12, 6 and 13.
  18. 18.Find the LCM of 27 and 6.
  19. 19.Find the LCM of 54 and 24.
  20. 20.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  21. 21.Find the LCM of 4, 12 and 13.
  22. 22.Find the LCM of 18 and 8.
  23. 23.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 56. What is the other number?
  24. 24.Find the LCM of 18 and 15.
  25. 25.Find the LCM of 36 and 16.
  26. 26.Find the LCM of 14, 7 and 2.
  27. 27.Find the HCF of 10 and 18.
  28. 28.Find the HCF of 27 and 18.
  29. 29.Find the LCM of 9 and 2.
  30. 30.Find the LCM of 7, 3 and 9.
  31. 31.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 45. What is the other number?
  32. 32.Find the LCM of 6, 12 and 9.
  33. 33.Find the HCF of 63 and 28.
  34. 34.Find the HCF of 91 and 104.
  35. 35.Find the HCF of 75 and 105.
  36. 36.Find the LCM of 27 and 21.
  37. 37.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 45. What is the other number?
  38. 38.Find the LCM of 5, 6 and 15.
  39. 39.Find the HCF of 48 and 84.
  40. 40.Find the HCF of 36 and 60.

Answer key

  1. 18
  2. 12
  3. 13
  4. 40
  5. 80
  6. 84
  7. 63
  8. 40
  9. 30
  10. 165
  11. 30
  12. 168
  13. 72
  14. 18
  15. 252
  16. 90
  17. 156
  18. 54
  19. 216
  20. 15
  21. 156
  22. 72
  23. 24
  24. 90
  25. 144
  26. 14
  27. 2
  28. 9
  29. 18
  30. 63
  31. 40
  32. 36
  33. 7
  34. 13
  35. 15
  36. 189
  37. 36
  38. 30
  39. 12
  40. 12

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