← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 520 · 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 18 and 30.
  2. 2.Find the HCF of 30 and 40.
  3. 3.Find the HCF of 18 and 81.
  4. 4.Find the LCM of 11, 2 and 10.
  5. 5.Find the LCM of 32 and 12.
  6. 6.Find the LCM of 5, 4 and 12.
  7. 7.Find the HCF of 12 and 9.
  8. 8.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  9. 9.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 16. What is the other number?
  10. 10.Find the LCM of 3, 4 and 10.
  11. 11.Find the LCM of 7, 10 and 15.
  12. 12.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  13. 13.Find the LCM of 48 and 42.
  14. 14.Find the LCM of 7, 12 and 8.
  15. 15.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 15. What is the other number?
  16. 16.Find the HCF of 14 and 35.
  17. 17.Find the HCF of 65 and 39.
  18. 18.Find the HCF of 12 and 8.
  19. 19.Find the LCM of 5, 2 and 13.
  20. 20.Find the LCM of 30 and 48.
  21. 21.Find the LCM of 24 and 18.
  22. 22.Find the HCF of 20 and 28.
  23. 23.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 40. What is the other number?
  24. 24.Find the HCF of 81 and 18.
  25. 25.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 56. What is the other number?
  26. 26.Find the HCF of 54 and 42.
  27. 27.Find the HCF of 126 and 28.
  28. 28.Find the HCF of 20 and 8.
  29. 29.Find the LCM of 10 and 16.
  30. 30.Find the LCM of 21 and 15.
  31. 31.Find the HCF of 28 and 32.
  32. 32.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  33. 33.Find the HCF of 40 and 90.
  34. 34.Find the HCF of 25 and 45.
  35. 35.Find the LCM of 2, 5 and 6.
  36. 36.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 27. What is the other number?
  37. 37.Find the LCM of 3, 5 and 14.
  38. 38.Find the LCM of 12 and 30.
  39. 39.Find the LCM of 3, 9 and 11.
  40. 40.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?

Answer key

  1. 90
  2. 10
  3. 9
  4. 110
  5. 96
  6. 60
  7. 3
  8. 14
  9. 18
  10. 60
  11. 210
  12. 28
  13. 336
  14. 168
  15. 20
  16. 7
  17. 13
  18. 4
  19. 130
  20. 240
  21. 72
  22. 4
  23. 16
  24. 9
  25. 24
  26. 6
  27. 14
  28. 4
  29. 80
  30. 105
  31. 4
  32. 8
  33. 10
  34. 5
  35. 30
  36. 12
  37. 210
  38. 60
  39. 99
  40. 12

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