← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 774 · 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 8, 11 and 2.
  2. 2.Find the HCF of 60 and 48.
  3. 3.Find the LCM of 24 and 20.
  4. 4.Find the HCF of 80 and 30.
  5. 5.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
  6. 6.Find the LCM of 3, 10 and 5.
  7. 7.Find the HCF of 56 and 70.
  8. 8.Find the LCM of 10 and 6.
  9. 9.Find the HCF of 20 and 28.
  10. 10.Find the HCF of 40 and 32.
  11. 11.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  12. 12.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  13. 13.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
  14. 14.Find the LCM of 36 and 32.
  15. 15.Find the HCF of 18 and 16.
  16. 16.Find the LCM of 18 and 24.
  17. 17.Find the HCF of 72 and 63.
  18. 18.Find the LCM of 5, 9 and 3.
  19. 19.Find the HCF of 12 and 9.
  20. 20.Find the LCM of 12, 7 and 8.
  21. 21.Find the LCM of 12, 9 and 3.
  22. 22.Find the LCM of 5 and 8.
  23. 23.Find the LCM of 14, 5 and 2.
  24. 24.Find the LCM of 6, 15 and 7.
  25. 25.Find the HCF of 21 and 14.
  26. 26.Find the HCF of 4 and 14.
  27. 27.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  28. 28.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 32. What is the other number?
  29. 29.Find the LCM of 2, 15 and 9.
  30. 30.Find the LCM of 28 and 8.
  31. 31.Find the HCF of 45 and 25.
  32. 32.Find the LCM of 5, 4 and 8.
  33. 33.Find the LCM of 15 and 9.
  34. 34.Find the LCM of 6, 4 and 5.
  35. 35.Find the LCM of 7, 4 and 14.
  36. 36.Find the LCM of 4, 3 and 6.
  37. 37.Find the LCM of 9 and 12.
  38. 38.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  39. 39.Find the HCF of 8 and 20.
  40. 40.Find the LCM of 48 and 18.

Answer key

  1. 88
  2. 12
  3. 120
  4. 10
  5. 15
  6. 30
  7. 14
  8. 30
  9. 4
  10. 8
  11. 4
  12. 12
  13. 15
  14. 288
  15. 2
  16. 72
  17. 9
  18. 45
  19. 3
  20. 168
  21. 36
  22. 40
  23. 70
  24. 210
  25. 7
  26. 2
  27. 4
  28. 40
  29. 90
  30. 56
  31. 5
  32. 40
  33. 45
  34. 60
  35. 28
  36. 12
  37. 36
  38. 12
  39. 4
  40. 144

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