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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 573 · 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 8 and 5.
  2. 2.Find the LCM of 7, 6 and 15.
  3. 3.Find the HCF of 16 and 10.
  4. 4.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 24. What is the other number?
  5. 5.Find the LCM of 2, 5 and 10.
  6. 6.Find the LCM of 15, 2 and 8.
  7. 7.Find the LCM of 12, 3 and 13.
  8. 8.Find the HCF of 21 and 27.
  9. 9.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  10. 10.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 49. What is the other number?
  11. 11.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 18. What is the other number?
  12. 12.Find the HCF of 36 and 81.
  13. 13.Find the LCM of 54 and 42.
  14. 14.Find the HCF of 75 and 30.
  15. 15.Find the LCM of 21 and 15.
  16. 16.Find the LCM of 2, 8 and 11.
  17. 17.Find the HCF of 60 and 45.
  18. 18.Find the LCM of 3, 9 and 6.
  19. 19.Find the LCM of 13, 14 and 2.
  20. 20.Find the LCM of 4, 5 and 14.
  21. 21.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?
  22. 22.Find the HCF of 24 and 18.
  23. 23.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  24. 24.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 14. What is the other number?
  25. 25.Find the HCF of 8 and 28.
  26. 26.Find the HCF of 56 and 64.
  27. 27.Find the LCM of 9, 15 and 5.
  28. 28.Find the LCM of 4, 5 and 3.
  29. 29.Find the LCM of 15 and 9.
  30. 30.Find the HCF of 25 and 15.
  31. 31.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 36. What is the other number?
  32. 32.Find the HCF of 60 and 50.
  33. 33.Find the LCM of 24 and 27.
  34. 34.Find the HCF of 25 and 30.
  35. 35.Find the LCM of 8 and 6.
  36. 36.Find the HCF of 98 and 56.
  37. 37.Find the LCM of 25 and 10.
  38. 38.Find the LCM of 4, 7 and 12.
  39. 39.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  40. 40.Find the LCM of 25 and 15.

Answer key

  1. 40
  2. 210
  3. 2
  4. 30
  5. 10
  6. 120
  7. 156
  8. 3
  9. 12
  10. 28
  11. 21
  12. 9
  13. 378
  14. 15
  15. 105
  16. 88
  17. 15
  18. 18
  19. 182
  20. 140
  21. 16
  22. 6
  23. 6
  24. 16
  25. 4
  26. 8
  27. 45
  28. 60
  29. 45
  30. 5
  31. 32
  32. 10
  33. 216
  34. 5
  35. 24
  36. 14
  37. 50
  38. 84
  39. 27
  40. 75

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