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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 21 · 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 11, 7 and 3.
  2. 2.Find the HCF of 45 and 120.
  3. 3.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 72. What is the other number?
  4. 4.Find the LCM of 6 and 14.
  5. 5.Find the LCM of 4, 12 and 6.
  6. 6.Find the HCF of 27 and 24.
  7. 7.Find the LCM of 18 and 12.
  8. 8.Find the LCM of 13, 3 and 5.
  9. 9.Find the HCF of 6 and 4.
  10. 10.Find the LCM of 15, 9 and 2.
  11. 11.Find the LCM of 25 and 45.
  12. 12.Find the LCM of 8 and 12.
  13. 13.Find the LCM of 15, 7 and 14.
  14. 14.Find the LCM of 20 and 28.
  15. 15.Find the HCF of 24 and 21.
  16. 16.Find the LCM of 25 and 40.
  17. 17.Find the HCF of 63 and 49.
  18. 18.Find the LCM of 3 and 2.
  19. 19.Find the LCM of 12, 14 and 8.
  20. 20.Find the HCF of 24 and 16.
  21. 21.Find the LCM of 10, 5 and 13.
  22. 22.Find the LCM of 48 and 54.
  23. 23.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  24. 24.Find the LCM of 10 and 8.
  25. 25.Find the HCF of 112 and 42.
  26. 26.Find the LCM of 14 and 12.
  27. 27.Find the HCF of 120 and 45.
  28. 28.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  29. 29.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
  30. 30.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 30. What is the other number?
  31. 31.Find the LCM of 45 and 25.
  32. 32.Find the HCF of 6 and 8.
  33. 33.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  34. 34.Find the LCM of 10, 15 and 5.
  35. 35.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 35. What is the other number?
  36. 36.Find the LCM of 12, 2 and 3.
  37. 37.Find the LCM of 28 and 36.
  38. 38.Find the HCF of 56 and 70.
  39. 39.Find the LCM of 8 and 7.
  40. 40.Find the HCF of 30 and 25.

Answer key

  1. 231
  2. 15
  3. 27
  4. 42
  5. 12
  6. 3
  7. 36
  8. 195
  9. 2
  10. 90
  11. 225
  12. 24
  13. 210
  14. 140
  15. 3
  16. 200
  17. 7
  18. 6
  19. 168
  20. 8
  21. 130
  22. 432
  23. 8
  24. 40
  25. 14
  26. 84
  27. 15
  28. 16
  29. 9
  30. 24
  31. 225
  32. 2
  33. 15
  34. 30
  35. 20
  36. 12
  37. 252
  38. 14
  39. 56
  40. 5

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