← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 754 · 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 60 and 105.
  2. 2.Find the HCF of 42 and 30.
  3. 3.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  4. 4.Find the LCM of 8 and 10.
  5. 5.Find the HCF of 98 and 56.
  6. 6.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
  7. 7.Find the LCM of 20 and 16.
  8. 8.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?
  9. 9.Find the LCM of 14 and 12.
  10. 10.Find the LCM of 3, 6 and 10.
  11. 11.Find the LCM of 5, 10 and 6.
  12. 12.Find the LCM of 6, 4 and 12.
  13. 13.Find the LCM of 54 and 42.
  14. 14.Find the LCM of 24 and 18.
  15. 15.Find the LCM of 12, 2 and 8.
  16. 16.Find the LCM of 9, 10 and 5.
  17. 17.Find the HCF of 36 and 27.
  18. 18.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 45. What is the other number?
  19. 19.Find the LCM of 42 and 36.
  20. 20.Find the LCM of 25 and 15.
  21. 21.Find the HCF of 36 and 16.
  22. 22.Find the LCM of 2, 12 and 5.
  23. 23.Find the LCM of 6, 9 and 15.
  24. 24.Find the HCF of 112 and 126.
  25. 25.Find the LCM of 54 and 48.
  26. 26.Find the LCM of 15, 7 and 14.
  27. 27.Find the LCM of 4, 7 and 12.
  28. 28.Find the LCM of 3 and 4.
  29. 29.Find the LCM of 14, 2 and 8.
  30. 30.Find the LCM of 8, 3 and 7.
  31. 31.Find the HCF of 98 and 70.
  32. 32.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 40. What is the other number?
  33. 33.Find the HCF of 27 and 12.
  34. 34.Find the LCM of 6 and 14.
  35. 35.Find the LCM of 7, 6 and 9.
  36. 36.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 24. What is the other number?
  37. 37.Find the LCM of 3, 8 and 14.
  38. 38.Find the LCM of 18 and 16.
  39. 39.Find the LCM of 5, 14 and 3.
  40. 40.Find the LCM of 4, 3 and 10.

Answer key

  1. 15
  2. 6
  3. 4
  4. 40
  5. 14
  6. 15
  7. 80
  8. 24
  9. 84
  10. 30
  11. 30
  12. 12
  13. 378
  14. 72
  15. 24
  16. 90
  17. 9
  18. 81
  19. 252
  20. 75
  21. 4
  22. 60
  23. 90
  24. 14
  25. 432
  26. 210
  27. 84
  28. 12
  29. 56
  30. 168
  31. 14
  32. 56
  33. 3
  34. 42
  35. 126
  36. 54
  37. 168
  38. 144
  39. 210
  40. 60

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