← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 243 · 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 and 4.
  2. 2.Find the LCM of 18 and 24.
  3. 3.Find the LCM of 6, 3 and 14.
  4. 4.Find the HCF of 54 and 24.
  5. 5.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 14. What is the other number?
  6. 6.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 49. What is the other number?
  7. 7.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 10. What is the other number?
  8. 8.Find the LCM of 2, 14 and 13.
  9. 9.Find the HCF of 24 and 84.
  10. 10.Find the HCF of 26 and 39.
  11. 11.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 56. What is the other number?
  12. 12.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  13. 13.Find the LCM of 2, 5 and 7.
  14. 14.Find the LCM of 4 and 7.
  15. 15.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 36. What is the other number?
  16. 16.Find the HCF of 63 and 81.
  17. 17.Find the LCM of 6, 3 and 8.
  18. 18.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
  19. 19.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  20. 20.Find the LCM of 9, 10 and 15.
  21. 21.Find the LCM of 9 and 6.
  22. 22.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 35. What is the other number?
  23. 23.Find the LCM of 2, 6 and 3.
  24. 24.Find the LCM of 6, 3 and 13.
  25. 25.Find the LCM of 5 and 9.
  26. 26.Find the LCM of 3, 6 and 10.
  27. 27.Find the LCM of 12, 11 and 2.
  28. 28.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?
  29. 29.Find the LCM of 10, 14 and 6.
  30. 30.Find the LCM of 30 and 42.
  31. 31.Find the LCM of 28 and 36.
  32. 32.Find the LCM of 12 and 54.
  33. 33.Find the LCM of 36 and 8.
  34. 34.Find the LCM of 3, 7 and 11.
  35. 35.Find the HCF of 81 and 45.
  36. 36.Find the HCF of 16 and 14.
  37. 37.Find the LCM of 4, 14 and 7.
  38. 38.Find the HCF of 36 and 16.
  39. 39.Find the LCM of 5, 3 and 9.
  40. 40.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 56. What is the other number?

Answer key

  1. 12
  2. 72
  3. 42
  4. 6
  5. 49
  6. 42
  7. 45
  8. 182
  9. 12
  10. 13
  11. 49
  12. 10
  13. 70
  14. 28
  15. 20
  16. 9
  17. 24
  18. 9
  19. 14
  20. 90
  21. 18
  22. 28
  23. 6
  24. 78
  25. 45
  26. 30
  27. 132
  28. 12
  29. 210
  30. 210
  31. 252
  32. 108
  33. 72
  34. 231
  35. 9
  36. 2
  37. 28
  38. 4
  39. 45
  40. 63

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