← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 107 · 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 14, 4 and 7.
  2. 2.Find the LCM of 42 and 24.
  3. 3.Find the LCM of 2, 9 and 12.
  4. 4.Find the HCF of 98 and 28.
  5. 5.Find the LCM of 12 and 8.
  6. 6.Find the HCF of 64 and 56.
  7. 7.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  8. 8.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  9. 9.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  10. 10.Find the LCM of 2, 3 and 14.
  11. 11.Find the LCM of 32 and 20.
  12. 12.Find the LCM of 6, 3 and 5.
  13. 13.Find the LCM of 16 and 10.
  14. 14.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  15. 15.Find the HCF of 20 and 8.
  16. 16.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 48. What is the other number?
  17. 17.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 32. What is the other number?
  18. 18.Find the HCF of 10 and 4.
  19. 19.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 8. What is the other number?
  20. 20.Find the LCM of 6 and 16.
  21. 21.Find the LCM of 9 and 8.
  22. 22.Find the LCM of 25 and 10.
  23. 23.Find the HCF of 21 and 24.
  24. 24.Find the LCM of 2, 4 and 14.
  25. 25.Find the HCF of 16 and 24.
  26. 26.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 72. What is the other number?
  27. 27.Find the LCM of 54 and 12.
  28. 28.Find the LCM of 6, 8 and 3.
  29. 29.Find the LCM of 21 and 15.
  30. 30.Find the HCF of 15 and 40.
  31. 31.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 30. What is the other number?
  32. 32.Find the LCM of 10 and 35.
  33. 33.Find the HCF of 55 and 88.
  34. 34.Find the LCM of 8, 7 and 3.
  35. 35.Find the LCM of 6, 13 and 3.
  36. 36.Find the LCM of 9 and 24.
  37. 37.Find the HCF of 80 and 50.
  38. 38.Find the HCF of 45 and 20.
  39. 39.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 25. What is the other number?
  40. 40.Find the HCF of 18 and 10.

Answer key

  1. 28
  2. 168
  3. 36
  4. 14
  5. 24
  6. 8
  7. 36
  8. 27
  9. 6
  10. 42
  11. 160
  12. 30
  13. 80
  14. 28
  15. 4
  16. 30
  17. 20
  18. 2
  19. 18
  20. 48
  21. 72
  22. 50
  23. 3
  24. 28
  25. 8
  26. 64
  27. 108
  28. 24
  29. 105
  30. 5
  31. 42
  32. 70
  33. 11
  34. 168
  35. 78
  36. 72
  37. 10
  38. 5
  39. 40
  40. 2

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