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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 413 · 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 10, 2 and 9.
  2. 2.Find the HCF of 9 and 12.
  3. 3.Find the LCM of 8, 7 and 12.
  4. 4.Find the LCM of 4, 6 and 3.
  5. 5.Find the HCF of 60 and 50.
  6. 6.Find the LCM of 3, 4 and 5.
  7. 7.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?
  8. 8.Find the LCM of 12 and 54.
  9. 9.Find the HCF of 18 and 48.
  10. 10.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 63. What is the other number?
  11. 11.Find the LCM of 4, 2 and 12.
  12. 12.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  13. 13.Find the HCF of 36 and 24.
  14. 14.Find the LCM of 6, 7 and 5.
  15. 15.Find the HCF of 40 and 50.
  16. 16.Find the HCF of 36 and 28.
  17. 17.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 27. What is the other number?
  18. 18.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 72. What is the other number?
  19. 19.Find the HCF of 35 and 10.
  20. 20.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 10. What is the other number?
  21. 21.Find the HCF of 49 and 28.
  22. 22.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 63. What is the other number?
  23. 23.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  24. 24.Find the LCM of 15, 10 and 9.
  25. 25.Find the LCM of 9 and 4.
  26. 26.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  27. 27.Find the LCM of 10, 6 and 7.
  28. 28.Find the LCM of 28 and 8.
  29. 29.Find the HCF of 84 and 24.
  30. 30.Find the LCM of 10 and 18.
  31. 31.Find the LCM of 4, 3 and 7.
  32. 32.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 36. What is the other number?
  33. 33.Find the HCF of 90 and 50.
  34. 34.Find the LCM of 20 and 32.
  35. 35.Find the HCF of 120 and 135.
  36. 36.Find the LCM of 36 and 42.
  37. 37.Find the HCF of 49 and 14.
  38. 38.Find the LCM of 18 and 12.
  39. 39.Find the LCM of 3, 15 and 8.
  40. 40.Find the LCM of 28 and 16.

Answer key

  1. 90
  2. 3
  3. 168
  4. 12
  5. 10
  6. 60
  7. 8
  8. 108
  9. 6
  10. 72
  11. 12
  12. 4
  13. 12
  14. 210
  15. 10
  16. 4
  17. 45
  18. 40
  19. 5
  20. 12
  21. 7
  22. 14
  23. 20
  24. 90
  25. 36
  26. 18
  27. 210
  28. 56
  29. 12
  30. 90
  31. 84
  32. 81
  33. 10
  34. 160
  35. 15
  36. 252
  37. 7
  38. 36
  39. 120
  40. 112

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