← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 113 · 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 15, 5 and 10.
  2. 2.Find the HCF of 6 and 10.
  3. 3.Find the LCM of 6, 5 and 7.
  4. 4.Find the LCM of 6, 11 and 2.
  5. 5.Find the HCF of 30 and 50.
  6. 6.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 15. What is the other number?
  7. 7.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 56. What is the other number?
  8. 8.Find the LCM of 48 and 18.
  9. 9.Find the LCM of 2 and 5.
  10. 10.Find the HCF of 32 and 72.
  11. 11.Find the LCM of 20 and 15.
  12. 12.Find the LCM of 3 and 8.
  13. 13.Find the LCM of 8 and 7.
  14. 14.Find the LCM of 24 and 18.
  15. 15.Find the LCM of 14 and 10.
  16. 16.Find the HCF of 10 and 25.
  17. 17.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  18. 18.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 40. What is the other number?
  19. 19.Find the LCM of 11, 9 and 6.
  20. 20.Find the HCF of 108 and 96.
  21. 21.Find the LCM of 9 and 4.
  22. 22.Find the HCF of 28 and 49.
  23. 23.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  24. 24.Find the LCM of 6, 15 and 10.
  25. 25.Find the LCM of 18 and 8.
  26. 26.Find the LCM of 6 and 4.
  27. 27.Find the LCM of 7, 5 and 3.
  28. 28.Find the LCM of 12 and 28.
  29. 29.Find the LCM of 11, 2 and 14.
  30. 30.Find the LCM of 4, 2 and 6.
  31. 31.Find the LCM of 12, 6 and 7.
  32. 32.Find the HCF of 52 and 65.
  33. 33.Find the LCM of 45 and 35.
  34. 34.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  35. 35.Find the LCM of 15 and 10.
  36. 36.Find the LCM of 7, 8 and 12.
  37. 37.Find the LCM of 14 and 6.
  38. 38.Find the LCM of 8 and 20.
  39. 39.Find the LCM of 24 and 28.
  40. 40.Find the LCM of 3, 14 and 2.

Answer key

  1. 30
  2. 2
  3. 210
  4. 66
  5. 10
  6. 12
  7. 24
  8. 144
  9. 10
  10. 8
  11. 60
  12. 24
  13. 56
  14. 72
  15. 70
  16. 5
  17. 12
  18. 16
  19. 198
  20. 12
  21. 36
  22. 7
  23. 18
  24. 30
  25. 72
  26. 12
  27. 105
  28. 84
  29. 154
  30. 12
  31. 84
  32. 13
  33. 315
  34. 6
  35. 30
  36. 168
  37. 42
  38. 40
  39. 168
  40. 42

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude