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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 517 · 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 HCF of 12 and 21.
  2. 2.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 21. What is the other number?
  3. 3.Find the LCM of 15, 2 and 14.
  4. 4.Find the LCM of 8, 15 and 4.
  5. 5.Find the LCM of 8, 5 and 6.
  6. 6.Find the LCM of 25 and 45.
  7. 7.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 4. What is the other number?
  8. 8.Find the LCM of 6, 10 and 2.
  9. 9.Find the HCF of 30 and 45.
  10. 10.Find the LCM of 15 and 10.
  11. 11.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  12. 12.Find the LCM of 10, 12 and 6.
  13. 13.Find the LCM of 4, 5 and 8.
  14. 14.Find the LCM of 36 and 42.
  15. 15.Find the HCF of 30 and 36.
  16. 16.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  17. 17.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  18. 18.Find the HCF of 20 and 8.
  19. 19.Find the LCM of 11, 12 and 4.
  20. 20.Find the LCM of 3 and 2.
  21. 21.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 24. What is the other number?
  22. 22.Find the LCM of 5 and 2.
  23. 23.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 49. What is the other number?
  24. 24.Find the HCF of 18 and 24.
  25. 25.Find the LCM of 5, 14 and 4.
  26. 26.Find the LCM of 5, 4 and 9.
  27. 27.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 72. What is the other number?
  28. 28.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 27. What is the other number?
  29. 29.Find the LCM of 24 and 28.
  30. 30.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 36. What is the other number?
  31. 31.Find the LCM of 6, 12 and 4.
  32. 32.Find the HCF of 36 and 20.
  33. 33.Find the HCF of 75 and 120.
  34. 34.Find the LCM of 9, 5 and 4.
  35. 35.Find the HCF of 30 and 24.
  36. 36.Find the LCM of 24 and 18.
  37. 37.Find the HCF of 81 and 18.
  38. 38.Find the LCM of 12, 4 and 5.
  39. 39.Find the LCM of 27 and 6.
  40. 40.Find the LCM of 10, 12 and 3.

Answer key

  1. 3
  2. 27
  3. 210
  4. 120
  5. 120
  6. 225
  7. 6
  8. 30
  9. 15
  10. 30
  11. 27
  12. 60
  13. 40
  14. 252
  15. 6
  16. 10
  17. 15
  18. 4
  19. 132
  20. 6
  21. 54
  22. 10
  23. 63
  24. 6
  25. 140
  26. 180
  27. 32
  28. 6
  29. 168
  30. 81
  31. 12
  32. 4
  33. 15
  34. 180
  35. 6
  36. 72
  37. 9
  38. 60
  39. 54
  40. 60

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