← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 557 · 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 36 and 20.
  2. 2.Find the LCM of 15, 3 and 5.
  3. 3.Find the LCM of 8, 5 and 12.
  4. 4.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  5. 5.Find the HCF of 91 and 117.
  6. 6.Find the HCF of 112 and 70.
  7. 7.Find the HCF of 56 and 24.
  8. 8.Find the HCF of 40 and 24.
  9. 9.Find the HCF of 4 and 18.
  10. 10.Find the HCF of 45 and 25.
  11. 11.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  12. 12.Find the LCM of 4 and 7.
  13. 13.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 35. What is the other number?
  14. 14.Find the LCM of 3, 6 and 7.
  15. 15.Find the LCM of 8, 4 and 3.
  16. 16.Find the LCM of 12, 4 and 5.
  17. 17.Find the LCM of 15, 9 and 4.
  18. 18.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 54. What is the other number?
  19. 19.Find the LCM of 8, 4 and 6.
  20. 20.Find the LCM of 2, 12 and 9.
  21. 21.Find the LCM of 4, 2 and 3.
  22. 22.Find the LCM of 13, 3 and 4.
  23. 23.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 63. What is the other number?
  24. 24.Find the LCM of 28 and 12.
  25. 25.Find the HCF of 48 and 18.
  26. 26.Find the HCF of 32 and 24.
  27. 27.Find the LCM of 6, 10 and 4.
  28. 28.Find the LCM of 42 and 36.
  29. 29.Find the LCM of 5, 11 and 3.
  30. 30.Find the HCF of 39 and 52.
  31. 31.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 20. What is the other number?
  32. 32.Find the HCF of 28 and 32.
  33. 33.Find the LCM of 10, 4 and 12.
  34. 34.Find the LCM of 8, 6 and 5.
  35. 35.Find the LCM of 12, 10 and 2.
  36. 36.Find the HCF of 48 and 40.
  37. 37.Find the LCM of 18 and 30.
  38. 38.Find the HCF of 64 and 24.
  39. 39.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 40. What is the other number?
  40. 40.Find the HCF of 77 and 88.

Answer key

  1. 180
  2. 15
  3. 120
  4. 15
  5. 13
  6. 14
  7. 8
  8. 8
  9. 2
  10. 5
  11. 14
  12. 28
  13. 25
  14. 42
  15. 24
  16. 60
  17. 180
  18. 45
  19. 24
  20. 36
  21. 12
  22. 156
  23. 35
  24. 84
  25. 6
  26. 8
  27. 60
  28. 252
  29. 165
  30. 13
  31. 24
  32. 4
  33. 60
  34. 120
  35. 60
  36. 8
  37. 90
  38. 8
  39. 72
  40. 11

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