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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 284 · 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 25 and 10.
  2. 2.Find the LCM of 5, 10 and 2.
  3. 3.Find the LCM of 24 and 15.
  4. 4.Find the LCM of 15, 6 and 9.
  5. 5.Find the LCM of 4, 5 and 3.
  6. 6.Find the LCM of 3 and 5.
  7. 7.Find the HCF of 56 and 64.
  8. 8.Find the LCM of 6 and 8.
  9. 9.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  10. 10.Find the LCM of 10 and 25.
  11. 11.Find the LCM of 36 and 8.
  12. 12.Find the LCM of 2, 4 and 9.
  13. 13.Find the HCF of 20 and 32.
  14. 14.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 32. What is the other number?
  15. 15.Find the LCM of 2, 14 and 4.
  16. 16.Find the LCM of 30 and 42.
  17. 17.Find the LCM of 15, 10 and 6.
  18. 18.Find the LCM of 6, 5 and 4.
  19. 19.Find the HCF of 22 and 99.
  20. 20.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 32. What is the other number?
  21. 21.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?
  22. 22.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
  23. 23.Find the LCM of 3, 5 and 15.
  24. 24.Find the LCM of 4 and 7.
  25. 25.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 24. What is the other number?
  26. 26.Find the LCM of 9, 12 and 8.
  27. 27.Find the LCM of 9, 11 and 2.
  28. 28.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 27. What is the other number?
  29. 29.Find the LCM of 3, 4 and 14.
  30. 30.Find the LCM of 9 and 7.
  31. 31.Find the HCF of 126 and 56.
  32. 32.Find the HCF of 35 and 40.
  33. 33.Find the HCF of 28 and 12.
  34. 34.Find the LCM of 8, 6 and 14.
  35. 35.Find the LCM of 10, 12 and 4.
  36. 36.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 14. What is the other number?
  37. 37.Find the HCF of 48 and 30.
  38. 38.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 30. What is the other number?
  39. 39.Find the LCM of 10, 3 and 2.
  40. 40.Find the HCF of 12 and 10.

Answer key

  1. 50
  2. 10
  3. 120
  4. 90
  5. 60
  6. 15
  7. 8
  8. 24
  9. 48
  10. 50
  11. 72
  12. 36
  13. 4
  14. 40
  15. 28
  16. 210
  17. 30
  18. 60
  19. 11
  20. 56
  21. 40
  22. 15
  23. 15
  24. 28
  25. 28
  26. 72
  27. 198
  28. 45
  29. 84
  30. 63
  31. 14
  32. 5
  33. 4
  34. 168
  35. 60
  36. 49
  37. 6
  38. 12
  39. 30
  40. 2

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