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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 636 · 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 8, 4 and 11.
  2. 2.Find the LCM of 25 and 10.
  3. 3.Find the LCM of 54 and 12.
  4. 4.Find the LCM of 8, 7 and 3.
  5. 5.Find the HCF of 12 and 54.
  6. 6.Find the LCM of 3 and 5.
  7. 7.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 56. What is the other number?
  8. 8.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 81. What is the other number?
  9. 9.Find the LCM of 7 and 6.
  10. 10.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  11. 11.Find the LCM of 16 and 12.
  12. 12.Find the LCM of 3 and 2.
  13. 13.Find the HCF of 99 and 55.
  14. 14.Find the LCM of 36 and 8.
  15. 15.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 54. What is the other number?
  16. 16.Find the LCM of 12 and 18.
  17. 17.Find the LCM of 20 and 36.
  18. 18.Find the LCM of 8, 3 and 15.
  19. 19.Find the LCM of 13, 12 and 4.
  20. 20.Find the LCM of 14, 11 and 7.
  21. 21.Find the LCM of 21 and 27.
  22. 22.Find the HCF of 52 and 91.
  23. 23.Find the LCM of 9 and 8.
  24. 24.Find the LCM of 4 and 10.
  25. 25.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 24. What is the other number?
  26. 26.Find the LCM of 14, 12 and 3.
  27. 27.Find the HCF of 24 and 28.
  28. 28.Find the HCF of 80 and 90.
  29. 29.Find the LCM of 3, 14 and 6.
  30. 30.Find the LCM of 9, 12 and 8.
  31. 31.Find the LCM of 2, 14 and 7.
  32. 32.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  33. 33.Find the HCF of 54 and 12.
  34. 34.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 30. What is the other number?
  35. 35.Find the LCM of 5 and 7.
  36. 36.Find the HCF of 27 and 12.
  37. 37.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  38. 38.Find the HCF of 64 and 24.
  39. 39.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 24. What is the other number?
  40. 40.Find the LCM of 42 and 12.

Answer key

  1. 88
  2. 50
  3. 108
  4. 168
  5. 6
  6. 15
  7. 49
  8. 18
  9. 42
  10. 12
  11. 48
  12. 6
  13. 11
  14. 72
  15. 48
  16. 36
  17. 180
  18. 120
  19. 156
  20. 154
  21. 189
  22. 13
  23. 72
  24. 20
  25. 21
  26. 84
  27. 4
  28. 10
  29. 42
  30. 72
  31. 14
  32. 18
  33. 6
  34. 24
  35. 35
  36. 3
  37. 21
  38. 8
  39. 40
  40. 84

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