← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 558 · 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 20 and 8.
  2. 2.Find the HCF of 105 and 135.
  3. 3.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  4. 4.Find the LCM of 25 and 15.
  5. 5.Find the LCM of 15 and 12.
  6. 6.Find the HCF of 45 and 36.
  7. 7.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 8. What is the other number?
  8. 8.Find the LCM of 11, 2 and 6.
  9. 9.Find the HCF of 45 and 63.
  10. 10.Find the LCM of 10, 4 and 8.
  11. 11.Find the LCM of 12, 11 and 6.
  12. 12.Find the HCF of 26 and 91.
  13. 13.Find the LCM of 12 and 27.
  14. 14.Find the LCM of 7 and 4.
  15. 15.Find the LCM of 4, 2 and 8.
  16. 16.Find the LCM of 13, 6 and 2.
  17. 17.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  18. 18.Find the LCM of 15 and 9.
  19. 19.Find the HCF of 14 and 6.
  20. 20.Find the LCM of 27 and 24.
  21. 21.Find the LCM of 8, 4 and 9.
  22. 22.Find the LCM of 42 and 24.
  23. 23.Find the LCM of 7, 13 and 2.
  24. 24.Find the LCM of 9 and 24.
  25. 25.Find the LCM of 4, 8 and 2.
  26. 26.Find the HCF of 40 and 72.
  27. 27.Find the HCF of 35 and 25.
  28. 28.Find the LCM of 4, 14 and 3.
  29. 29.Find the LCM of 12 and 10.
  30. 30.Find the HCF of 20 and 15.
  31. 31.Find the LCM of 10 and 12.
  32. 32.Find the HCF of 10 and 8.
  33. 33.Find the HCF of 70 and 50.
  34. 34.Find the LCM of 6, 14 and 15.
  35. 35.Find the LCM of 3, 5 and 10.
  36. 36.Find the LCM of 9, 8 and 4.
  37. 37.Find the HCF of 112 and 42.
  38. 38.Find the LCM of 21 and 18.
  39. 39.Find the LCM of 45 and 25.
  40. 40.Find the LCM of 12, 9 and 4.

Answer key

  1. 40
  2. 15
  3. 18
  4. 75
  5. 60
  6. 9
  7. 10
  8. 66
  9. 9
  10. 40
  11. 132
  12. 13
  13. 108
  14. 28
  15. 8
  16. 78
  17. 16
  18. 45
  19. 2
  20. 216
  21. 72
  22. 168
  23. 182
  24. 72
  25. 8
  26. 8
  27. 5
  28. 84
  29. 60
  30. 5
  31. 60
  32. 2
  33. 10
  34. 210
  35. 30
  36. 72
  37. 14
  38. 126
  39. 225
  40. 36

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