← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 183 · 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 15, 8 and 6.
  2. 2.Find the LCM of 3, 8 and 9.
  3. 3.Find the HCF of 15 and 27.
  4. 4.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 32. What is the other number?
  5. 5.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  6. 6.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 32. What is the other number?
  7. 7.Find the LCM of 2, 8 and 11.
  8. 8.Find the LCM of 5, 2 and 7.
  9. 9.Find the LCM of 9 and 6.
  10. 10.Find the HCF of 18 and 10.
  11. 11.Find the HCF of 99 and 44.
  12. 12.Find the LCM of 2, 6 and 3.
  13. 13.Find the LCM of 8, 15 and 4.
  14. 14.Find the LCM of 15, 2 and 12.
  15. 15.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  16. 16.Find the LCM of 10, 2 and 11.
  17. 17.Find the HCF of 44 and 55.
  18. 18.Find the LCM of 2, 6 and 15.
  19. 19.Find the LCM of 35 and 20.
  20. 20.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 35. What is the other number?
  21. 21.Find the LCM of 25 and 45.
  22. 22.Find the LCM of 8 and 10.
  23. 23.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 18. What is the other number?
  24. 24.Find the HCF of 63 and 36.
  25. 25.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 12. What is the other number?
  26. 26.Find the LCM of 32 and 12.
  27. 27.Find the HCF of 39 and 65.
  28. 28.Find the LCM of 24 and 9.
  29. 29.Find the HCF of 16 and 56.
  30. 30.Find the LCM of 20 and 28.
  31. 31.Find the HCF of 105 and 45.
  32. 32.Find the LCM of 36 and 20.
  33. 33.Find the HCF of 60 and 50.
  34. 34.Find the HCF of 75 and 45.
  35. 35.Find the HCF of 52 and 39.
  36. 36.Find the LCM of 48 and 30.
  37. 37.Find the LCM of 35 and 10.
  38. 38.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  39. 39.Find the HCF of 28 and 35.
  40. 40.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?

Answer key

  1. 120
  2. 72
  3. 3
  4. 56
  5. 15
  6. 40
  7. 88
  8. 70
  9. 18
  10. 2
  11. 11
  12. 6
  13. 120
  14. 60
  15. 18
  16. 110
  17. 11
  18. 30
  19. 140
  20. 25
  21. 225
  22. 40
  23. 4
  24. 9
  25. 16
  26. 96
  27. 13
  28. 72
  29. 8
  30. 140
  31. 15
  32. 180
  33. 10
  34. 15
  35. 13
  36. 240
  37. 70
  38. 14
  39. 7
  40. 14

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