← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 892 · 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 45 and 25.
  2. 2.Find the HCF of 16 and 10.
  3. 3.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 45. What is the other number?
  4. 4.Find the LCM of 40 and 45.
  5. 5.Find the HCF of 32 and 36.
  6. 6.Find the LCM of 3, 8 and 9.
  7. 7.Find the LCM of 3, 12 and 4.
  8. 8.Find the HCF of 63 and 72.
  9. 9.Find the HCF of 84 and 108.
  10. 10.Find the HCF of 60 and 72.
  11. 11.Find the LCM of 8, 14 and 7.
  12. 12.Find the LCM of 3, 7 and 9.
  13. 13.Find the HCF of 60 and 75.
  14. 14.Find the LCM of 32 and 36.
  15. 15.Find the HCF of 55 and 88.
  16. 16.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 45. What is the other number?
  17. 17.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 24. What is the other number?
  18. 18.Find the LCM of 6 and 4.
  19. 19.Find the HCF of 15 and 40.
  20. 20.Find the HCF of 36 and 45.
  21. 21.Find the HCF of 77 and 66.
  22. 22.Find the HCF of 30 and 42.
  23. 23.Find the HCF of 45 and 30.
  24. 24.Find the HCF of 126 and 112.
  25. 25.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 81. What is the other number?
  26. 26.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?
  27. 27.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 21. What is the other number?
  28. 28.Find the LCM of 8 and 18.
  29. 29.Find the LCM of 12, 2 and 14.
  30. 30.Find the LCM of 20 and 32.
  31. 31.Find the LCM of 28 and 8.
  32. 32.Find the HCF of 20 and 35.
  33. 33.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  34. 34.Find the LCM of 4, 13 and 8.
  35. 35.Find the HCF of 105 and 135.
  36. 36.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  37. 37.Find the LCM of 5, 11 and 4.
  38. 38.Find the LCM of 10, 12 and 8.
  39. 39.Find the LCM of 3, 7 and 14.
  40. 40.Find the LCM of 6 and 15.

Answer key

  1. 225
  2. 2
  3. 54
  4. 360
  5. 4
  6. 72
  7. 12
  8. 9
  9. 12
  10. 12
  11. 56
  12. 63
  13. 15
  14. 288
  15. 11
  16. 72
  17. 21
  18. 12
  19. 5
  20. 9
  21. 11
  22. 6
  23. 15
  24. 14
  25. 45
  26. 72
  27. 18
  28. 72
  29. 84
  30. 160
  31. 56
  32. 5
  33. 10
  34. 104
  35. 15
  36. 9
  37. 220
  38. 120
  39. 42
  40. 30

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