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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 465 · 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 9 and 8.
  2. 2.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  3. 3.Find the LCM of 4, 14 and 10.
  4. 4.Find the HCF of 36 and 48.
  5. 5.Find the LCM of 4 and 6.
  6. 6.Find the LCM of 5, 6 and 2.
  7. 7.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 48. What is the other number?
  8. 8.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?
  9. 9.Find the LCM of 11, 3 and 12.
  10. 10.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  11. 11.Find the HCF of 60 and 36.
  12. 12.Find the HCF of 27 and 45.
  13. 13.Find the LCM of 15, 9 and 5.
  14. 14.Find the LCM of 12 and 16.
  15. 15.Find the LCM of 4, 10 and 2.
  16. 16.Find the LCM of 12 and 18.
  17. 17.Find the LCM of 6 and 10.
  18. 18.Find the LCM of 9, 3 and 5.
  19. 19.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 36. What is the other number?
  20. 20.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
  21. 21.Find the LCM of 3, 11 and 9.
  22. 22.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  23. 23.Find the LCM of 9 and 24.
  24. 24.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 12. What is the other number?
  25. 25.Find the LCM of 8 and 36.
  26. 26.Find the LCM of 12, 10 and 9.
  27. 27.Find the LCM of 8, 2 and 6.
  28. 28.Find the LCM of 2 and 9.
  29. 29.Find the LCM of 18 and 12.
  30. 30.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  31. 31.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 49. What is the other number?
  32. 32.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 20. What is the other number?
  33. 33.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 15. What is the other number?
  34. 34.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 36. What is the other number?
  35. 35.Find the LCM of 21 and 18.
  36. 36.Find the HCF of 104 and 39.
  37. 37.Find the LCM of 12, 2 and 3.
  38. 38.Find the LCM of 25 and 35.
  39. 39.Find the LCM of 2, 6 and 12.
  40. 40.Find the HCF of 49 and 21.

Answer key

  1. 72
  2. 15
  3. 140
  4. 12
  5. 12
  6. 30
  7. 54
  8. 12
  9. 132
  10. 6
  11. 12
  12. 9
  13. 45
  14. 48
  15. 20
  16. 36
  17. 30
  18. 45
  19. 30
  20. 9
  21. 99
  22. 6
  23. 72
  24. 16
  25. 72
  26. 180
  27. 24
  28. 18
  29. 36
  30. 9
  31. 63
  32. 45
  33. 20
  34. 27
  35. 126
  36. 13
  37. 12
  38. 175
  39. 12
  40. 7

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