← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 140 · 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 20 and 35.
  2. 2.Find the LCM of 2, 9 and 10.
  3. 3.Find the LCM of 3, 4 and 8.
  4. 4.Find the LCM of 10, 15 and 12.
  5. 5.Find the LCM of 12 and 54.
  6. 6.Find the LCM of 8, 10 and 5.
  7. 7.Find the LCM of 35 and 15.
  8. 8.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 42. What is the other number?
  9. 9.Find the HCF of 24 and 84.
  10. 10.Find the LCM of 7, 8 and 4.
  11. 11.Find the HCF of 6 and 4.
  12. 12.Find the LCM of 4, 3 and 13.
  13. 13.Find the LCM of 8 and 18.
  14. 14.Find the LCM of 4, 15 and 9.
  15. 15.Find the HCF of 117 and 52.
  16. 16.Find the HCF of 18 and 45.
  17. 17.Find the LCM of 14 and 12.
  18. 18.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 35. What is the other number?
  19. 19.Find the LCM of 24 and 15.
  20. 20.Find the LCM of 16 and 28.
  21. 21.Find the HCF of 80 and 30.
  22. 22.Find the HCF of 15 and 12.
  23. 23.Find the HCF of 6 and 15.
  24. 24.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 4. What is the other number?
  25. 25.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  26. 26.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  27. 27.Find the LCM of 12, 7 and 2.
  28. 28.Find the HCF of 30 and 36.
  29. 29.Find the HCF of 12 and 14.
  30. 30.Find the HCF of 28 and 49.
  31. 31.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  32. 32.Find the LCM of 16 and 12.
  33. 33.Find the LCM of 10, 12 and 5.
  34. 34.Find the LCM of 3 and 5.
  35. 35.Find the HCF of 10 and 15.
  36. 36.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  37. 37.Find the LCM of 14, 15 and 5.
  38. 38.Find the LCM of 10, 15 and 3.
  39. 39.Find the LCM of 45 and 25.
  40. 40.Find the LCM of 8, 4 and 12.

Answer key

  1. 5
  2. 90
  3. 24
  4. 60
  5. 108
  6. 40
  7. 105
  8. 24
  9. 12
  10. 56
  11. 2
  12. 156
  13. 72
  14. 180
  15. 13
  16. 9
  17. 84
  18. 15
  19. 120
  20. 112
  21. 10
  22. 3
  23. 3
  24. 10
  25. 10
  26. 28
  27. 84
  28. 6
  29. 2
  30. 7
  31. 27
  32. 48
  33. 60
  34. 15
  35. 5
  36. 28
  37. 210
  38. 30
  39. 225
  40. 24

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