← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 996 · 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 7, 2 and 8.
  2. 2.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 15. What is the other number?
  3. 3.Find the HCF of 9 and 15.
  4. 4.Find the LCM of 20 and 24.
  5. 5.Find the LCM of 7, 12 and 14.
  6. 6.Find the HCF of 44 and 55.
  7. 7.Find the LCM of 6, 11 and 2.
  8. 8.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 21. What is the other number?
  9. 9.Find the HCF of 84 and 96.
  10. 10.Find the LCM of 12, 6 and 14.
  11. 11.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  12. 12.Find the LCM of 10 and 16.
  13. 13.Find the LCM of 21 and 24.
  14. 14.Find the HCF of 48 and 36.
  15. 15.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 20. What is the other number?
  16. 16.Find the HCF of 21 and 27.
  17. 17.Find the LCM of 18 and 15.
  18. 18.Find the LCM of 18 and 10.
  19. 19.Find the LCM of 28 and 36.
  20. 20.Find the LCM of 5, 6 and 2.
  21. 21.Find the LCM of 12 and 18.
  22. 22.Find the LCM of 42 and 12.
  23. 23.Find the HCF of 40 and 50.
  24. 24.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 16. What is the other number?
  25. 25.Find the HCF of 70 and 20.
  26. 26.Find the LCM of 5, 6 and 14.
  27. 27.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  28. 28.Find the HCF of 20 and 32.
  29. 29.Find the LCM of 10, 2 and 6.
  30. 30.Find the LCM of 12 and 10.
  31. 31.Find the LCM of 5, 4 and 15.
  32. 32.Find the LCM of 2, 4 and 3.
  33. 33.Find the HCF of 65 and 26.
  34. 34.Find the LCM of 7 and 3.
  35. 35.Find the LCM of 15 and 27.
  36. 36.Find the HCF of 75 and 120.
  37. 37.Find the LCM of 9, 4 and 2.
  38. 38.Find the HCF of 15 and 27.
  39. 39.Find the LCM of 6, 12 and 14.
  40. 40.Find the LCM of 9, 13 and 6.

Answer key

  1. 56
  2. 12
  3. 3
  4. 120
  5. 84
  6. 11
  7. 66
  8. 35
  9. 12
  10. 84
  11. 6
  12. 80
  13. 168
  14. 12
  15. 28
  16. 3
  17. 90
  18. 90
  19. 252
  20. 30
  21. 36
  22. 84
  23. 10
  24. 56
  25. 10
  26. 210
  27. 24
  28. 4
  29. 30
  30. 60
  31. 60
  32. 12
  33. 13
  34. 21
  35. 135
  36. 15
  37. 36
  38. 3
  39. 84
  40. 234

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