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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 204 · 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 5.
  2. 2.Find the LCM of 21 and 24.
  3. 3.Find the LCM of 2 and 3.
  4. 4.Find the LCM of 4 and 14.
  5. 5.Find the HCF of 16 and 6.
  6. 6.Find the LCM of 14 and 4.
  7. 7.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 63. What is the other number?
  8. 8.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 48. What is the other number?
  9. 9.Find the LCM of 14 and 12.
  10. 10.Find the HCF of 63 and 49.
  11. 11.Find the LCM of 21 and 9.
  12. 12.Find the LCM of 7 and 3.
  13. 13.Find the LCM of 5, 10 and 9.
  14. 14.Find the HCF of 24 and 15.
  15. 15.Find the HCF of 20 and 70.
  16. 16.Find the LCM of 14 and 8.
  17. 17.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  18. 18.Find the LCM of 27 and 24.
  19. 19.Find the LCM of 8 and 10.
  20. 20.Find the HCF of 24 and 40.
  21. 21.Find the HCF of 70 and 80.
  22. 22.Find the LCM of 3, 13 and 2.
  23. 23.Find the LCM of 5, 4 and 8.
  24. 24.Find the HCF of 60 and 70.
  25. 25.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 40. What is the other number?
  26. 26.Find the LCM of 10 and 16.
  27. 27.Find the LCM of 10, 3 and 4.
  28. 28.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  29. 29.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 20. What is the other number?
  30. 30.Find the LCM of 2, 13 and 10.
  31. 31.Find the LCM of 48 and 54.
  32. 32.Find the LCM of 20 and 32.
  33. 33.Find the LCM of 3, 14 and 6.
  34. 34.Find the LCM of 7 and 2.
  35. 35.Find the LCM of 15 and 25.
  36. 36.Find the LCM of 4 and 18.
  37. 37.Find the LCM of 12 and 15.
  38. 38.Find the HCF of 48 and 42.
  39. 39.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 15. What is the other number?
  40. 40.Find the LCM of 32 and 28.

Answer key

  1. 30
  2. 168
  3. 6
  4. 28
  5. 2
  6. 28
  7. 49
  8. 30
  9. 84
  10. 7
  11. 63
  12. 21
  13. 90
  14. 3
  15. 10
  16. 56
  17. 20
  18. 216
  19. 40
  20. 8
  21. 10
  22. 78
  23. 40
  24. 10
  25. 15
  26. 80
  27. 60
  28. 32
  29. 36
  30. 130
  31. 432
  32. 160
  33. 42
  34. 14
  35. 75
  36. 36
  37. 60
  38. 6
  39. 24
  40. 224

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