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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 17 · 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 4, 6 and 3.
  2. 2.Find the HCF of 25 and 40.
  3. 3.Find the HCF of 77 and 99.
  4. 4.Find the LCM of 15, 6 and 12.
  5. 5.Find the LCM of 12 and 10.
  6. 6.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?
  7. 7.Find the LCM of 25 and 30.
  8. 8.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 21. What is the other number?
  9. 9.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 12. What is the other number?
  10. 10.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  11. 11.Find the LCM of 6, 12 and 11.
  12. 12.Find the HCF of 48 and 18.
  13. 13.Find the LCM of 4, 12 and 13.
  14. 14.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 45. What is the other number?
  15. 15.Find the HCF of 54 and 12.
  16. 16.Find the LCM of 6 and 7.
  17. 17.Find the LCM of 45 and 10.
  18. 18.Find the LCM of 5, 3 and 8.
  19. 19.Find the HCF of 40 and 50.
  20. 20.Find the LCM of 12 and 30.
  21. 21.Find the LCM of 18 and 30.
  22. 22.Find the LCM of 16 and 6.
  23. 23.Find the LCM of 10, 5 and 6.
  24. 24.Find the HCF of 81 and 18.
  25. 25.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 56. What is the other number?
  26. 26.Find the HCF of 72 and 64.
  27. 27.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 81. What is the other number?
  28. 28.Find the LCM of 6, 10 and 8.
  29. 29.Find the HCF of 45 and 60.
  30. 30.Find the LCM of 4 and 9.
  31. 31.Find the HCF of 8 and 20.
  32. 32.Find the HCF of 90 and 20.
  33. 33.Find the LCM of 40 and 45.
  34. 34.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 72. What is the other number?
  35. 35.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 18. What is the other number?
  36. 36.Find the LCM of 2, 12 and 8.
  37. 37.Find the HCF of 56 and 32.
  38. 38.Find the LCM of 54 and 42.
  39. 39.Find the LCM of 8 and 5.
  40. 40.Find the LCM of 18 and 15.

Answer key

  1. 12
  2. 5
  3. 11
  4. 60
  5. 60
  6. 8
  7. 150
  8. 6
  9. 10
  10. 4
  11. 132
  12. 6
  13. 156
  14. 27
  15. 6
  16. 42
  17. 90
  18. 120
  19. 10
  20. 60
  21. 90
  22. 48
  23. 30
  24. 9
  25. 35
  26. 8
  27. 63
  28. 120
  29. 15
  30. 36
  31. 4
  32. 10
  33. 360
  34. 81
  35. 42
  36. 24
  37. 8
  38. 378
  39. 40
  40. 90

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