← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 690 · 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, 2 and 5.
  2. 2.Find the LCM of 3, 9 and 12.
  3. 3.Find the LCM of 12 and 15.
  4. 4.Find the HCF of 49 and 56.
  5. 5.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 72. What is the other number?
  6. 6.Find the LCM of 5 and 4.
  7. 7.Find the HCF of 35 and 14.
  8. 8.Find the LCM of 4, 5 and 3.
  9. 9.Find the LCM of 10, 15 and 3.
  10. 10.Find the HCF of 48 and 56.
  11. 11.Find the LCM of 10, 15 and 4.
  12. 12.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  13. 13.Find the LCM of 16 and 10.
  14. 14.Find the LCM of 35 and 20.
  15. 15.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 36. What is the other number?
  16. 16.Find the HCF of 9 and 21.
  17. 17.Find the LCM of 4, 15 and 6.
  18. 18.Find the LCM of 20 and 16.
  19. 19.Find the HCF of 35 and 45.
  20. 20.Find the LCM of 2, 3 and 6.
  21. 21.Find the HCF of 16 and 36.
  22. 22.Find the LCM of 7 and 5.
  23. 23.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  24. 24.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 20. What is the other number?
  25. 25.Find the HCF of 16 and 18.
  26. 26.Find the LCM of 11, 12 and 6.
  27. 27.Find the LCM of 2, 6 and 7.
  28. 28.Find the LCM of 8 and 10.
  29. 29.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 56. What is the other number?
  30. 30.Find the LCM of 4, 5 and 10.
  31. 31.Find the LCM of 12 and 18.
  32. 32.Find the HCF of 81 and 45.
  33. 33.Find the HCF of 70 and 30.
  34. 34.Find the LCM of 14, 8 and 12.
  35. 35.Find the LCM of 3, 10 and 6.
  36. 36.Find the LCM of 2, 12 and 11.
  37. 37.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 54. What is the other number?
  38. 38.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 30. What is the other number?
  39. 39.Find the LCM of 13, 4 and 8.
  40. 40.Find the LCM of 8 and 12.

Answer key

  1. 30
  2. 36
  3. 60
  4. 7
  5. 32
  6. 20
  7. 7
  8. 60
  9. 30
  10. 8
  11. 60
  12. 10
  13. 80
  14. 140
  15. 32
  16. 3
  17. 60
  18. 80
  19. 5
  20. 6
  21. 4
  22. 35
  23. 15
  24. 28
  25. 2
  26. 132
  27. 42
  28. 40
  29. 40
  30. 20
  31. 36
  32. 9
  33. 10
  34. 168
  35. 30
  36. 132
  37. 24
  38. 24
  39. 104
  40. 24

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