← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 334 · 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 6, 2 and 3.
  2. 2.Find the LCM of 7, 5 and 2.
  3. 3.Find the HCF of 84 and 48.
  4. 4.Find the HCF of 90 and 75.
  5. 5.Find the HCF of 20 and 8.
  6. 6.Find the LCM of 4 and 6.
  7. 7.Find the HCF of 6 and 8.
  8. 8.Find the LCM of 11, 3 and 4.
  9. 9.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 36. What is the other number?
  10. 10.Find the LCM of 7 and 3.
  11. 11.Find the HCF of 48 and 108.
  12. 12.Find the HCF of 20 and 28.
  13. 13.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?
  14. 14.Find the HCF of 49 and 28.
  15. 15.Find the LCM of 18 and 30.
  16. 16.Find the LCM of 4, 2 and 7.
  17. 17.Find the LCM of 4 and 5.
  18. 18.Find the HCF of 56 and 49.
  19. 19.Find the HCF of 27 and 45.
  20. 20.Find the HCF of 36 and 96.
  21. 21.Find the HCF of 20 and 25.
  22. 22.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 54. What is the other number?
  23. 23.Find the HCF of 70 and 98.
  24. 24.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 48. What is the other number?
  25. 25.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 20. What is the other number?
  26. 26.Find the LCM of 10 and 12.
  27. 27.Find the LCM of 36 and 32.
  28. 28.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 36. What is the other number?
  29. 29.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 45. What is the other number?
  30. 30.Find the LCM of 16 and 18.
  31. 31.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  32. 32.Find the HCF of 54 and 48.
  33. 33.Find the LCM of 16 and 10.
  34. 34.Find the LCM of 15 and 10.
  35. 35.Find the LCM of 4, 2 and 12.
  36. 36.Find the HCF of 12 and 18.
  37. 37.Find the LCM of 3, 4 and 2.
  38. 38.Find the HCF of 15 and 27.
  39. 39.Find the LCM of 3, 13 and 12.
  40. 40.Find the HCF of 27 and 15.

Answer key

  1. 6
  2. 70
  3. 12
  4. 15
  5. 4
  6. 12
  7. 2
  8. 132
  9. 81
  10. 21
  11. 12
  12. 4
  13. 72
  14. 7
  15. 90
  16. 28
  17. 20
  18. 7
  19. 9
  20. 12
  21. 5
  22. 12
  23. 14
  24. 42
  25. 28
  26. 60
  27. 288
  28. 27
  29. 72
  30. 144
  31. 16
  32. 6
  33. 80
  34. 30
  35. 12
  36. 6
  37. 12
  38. 3
  39. 156
  40. 3

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