← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 387 · 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 and 3.
  2. 2.Find the LCM of 4, 14 and 7.
  3. 3.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 54. What is the other number?
  4. 4.Find the HCF of 42 and 70.
  5. 5.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  6. 6.Find the HCF of 6 and 14.
  7. 7.Find the LCM of 20 and 16.
  8. 8.Find the HCF of 91 and 26.
  9. 9.Find the HCF of 8 and 28.
  10. 10.Find the HCF of 14 and 10.
  11. 11.Find the LCM of 10 and 45.
  12. 12.Find the LCM of 12 and 54.
  13. 13.Find the LCM of 9, 2 and 15.
  14. 14.Find the HCF of 54 and 42.
  15. 15.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 14. What is the other number?
  16. 16.Find the LCM of 5, 14 and 6.
  17. 17.Find the HCF of 28 and 21.
  18. 18.Find the HCF of 49 and 21.
  19. 19.Find the HCF of 6 and 16.
  20. 20.Find the HCF of 4 and 10.
  21. 21.Find the HCF of 35 and 10.
  22. 22.Find the HCF of 56 and 42.
  23. 23.Find the LCM of 5 and 9.
  24. 24.Find the HCF of 96 and 108.
  25. 25.Find the HCF of 10 and 45.
  26. 26.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 42. What is the other number?
  27. 27.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 49. What is the other number?
  28. 28.Find the HCF of 48 and 60.
  29. 29.Find the LCM of 6, 15 and 10.
  30. 30.Find the HCF of 18 and 4.
  31. 31.Find the LCM of 2 and 3.
  32. 32.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 25. What is the other number?
  33. 33.Find the HCF of 45 and 120.
  34. 34.Find the LCM of 4, 5 and 3.
  35. 35.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 48. What is the other number?
  36. 36.Find the LCM of 10, 2 and 14.
  37. 37.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 18. What is the other number?
  38. 38.Find the LCM of 3, 11 and 15.
  39. 39.Find the LCM of 3, 12 and 15.
  40. 40.Find the LCM of 3, 4 and 14.

Answer key

  1. 21
  2. 28
  3. 45
  4. 14
  5. 6
  6. 2
  7. 80
  8. 13
  9. 4
  10. 2
  11. 90
  12. 108
  13. 90
  14. 6
  15. 8
  16. 210
  17. 7
  18. 7
  19. 2
  20. 2
  21. 5
  22. 14
  23. 45
  24. 12
  25. 5
  26. 48
  27. 21
  28. 12
  29. 30
  30. 2
  31. 6
  32. 35
  33. 15
  34. 60
  35. 18
  36. 70
  37. 21
  38. 165
  39. 60
  40. 84

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