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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 356 · 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 5, 12 and 9.
  2. 2.Find the LCM of 3 and 2.
  3. 3.Find the HCF of 27 and 24.
  4. 4.Find the LCM of 9 and 15.
  5. 5.Find the HCF of 10 and 6.
  6. 6.Find the HCF of 75 and 60.
  7. 7.Find the LCM of 8 and 6.
  8. 8.Find the LCM of 12, 2 and 11.
  9. 9.Find the HCF of 84 and 108.
  10. 10.Find the HCF of 6 and 9.
  11. 11.Find the LCM of 3, 5 and 6.
  12. 12.Find the HCF of 36 and 42.
  13. 13.Find the LCM of 6 and 7.
  14. 14.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 72. What is the other number?
  15. 15.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 16. What is the other number?
  16. 16.Find the HCF of 28 and 12.
  17. 17.Find the HCF of 65 and 52.
  18. 18.Find the LCM of 8, 15 and 4.
  19. 19.Find the LCM of 10 and 6.
  20. 20.Find the LCM of 7, 10 and 3.
  21. 21.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  22. 22.Find the LCM of 14 and 12.
  23. 23.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 24. What is the other number?
  24. 24.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  25. 25.Find the LCM of 8, 12 and 15.
  26. 26.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  27. 27.Find the HCF of 90 and 80.
  28. 28.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 15. What is the other number?
  29. 29.Find the LCM of 10, 3 and 6.
  30. 30.Find the HCF of 77 and 66.
  31. 31.Find the HCF of 9 and 21.
  32. 32.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  33. 33.Find the HCF of 36 and 96.
  34. 34.Find the LCM of 10 and 25.
  35. 35.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 42. What is the other number?
  36. 36.Find the HCF of 16 and 56.
  37. 37.Find the HCF of 42 and 48.
  38. 38.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 15. What is the other number?
  39. 39.Find the HCF of 56 and 63.
  40. 40.Find the LCM of 36 and 16.

Answer key

  1. 180
  2. 6
  3. 3
  4. 45
  5. 2
  6. 15
  7. 24
  8. 132
  9. 12
  10. 3
  11. 30
  12. 6
  13. 42
  14. 40
  15. 56
  16. 4
  17. 13
  18. 120
  19. 30
  20. 210
  21. 35
  22. 84
  23. 20
  24. 28
  25. 120
  26. 21
  27. 10
  28. 12
  29. 30
  30. 11
  31. 3
  32. 10
  33. 12
  34. 50
  35. 30
  36. 8
  37. 6
  38. 24
  39. 7
  40. 144

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