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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 713 · 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 and 6.
  2. 2.Find the LCM of 9, 12 and 5.
  3. 3.Find the LCM of 4, 7 and 5.
  4. 4.Find the LCM of 14 and 18.
  5. 5.Find the HCF of 48 and 108.
  6. 6.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 42. What is the other number?
  7. 7.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  8. 8.Find the HCF of 20 and 35.
  9. 9.Find the LCM of 13, 4 and 2.
  10. 10.Find the LCM of 8 and 9.
  11. 11.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 21. What is the other number?
  12. 12.Find the LCM of 13, 3 and 15.
  13. 13.Find the LCM of 5 and 3.
  14. 14.Find the LCM of 4, 13 and 12.
  15. 15.Find the HCF of 18 and 16.
  16. 16.Find the HCF of 60 and 105.
  17. 17.Find the LCM of 7, 4 and 8.
  18. 18.Find the LCM of 7, 14 and 5.
  19. 19.Find the LCM of 2 and 5.
  20. 20.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 21. What is the other number?
  21. 21.Find the LCM of 21 and 12.
  22. 22.Find the LCM of 28 and 8.
  23. 23.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 20. What is the other number?
  24. 24.Find the HCF of 44 and 33.
  25. 25.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 35. What is the other number?
  26. 26.Find the LCM of 54 and 12.
  27. 27.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 72. What is the other number?
  28. 28.Find the HCF of 12 and 15.
  29. 29.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  30. 30.Find the LCM of 6, 3 and 5.
  31. 31.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  32. 32.Find the HCF of 84 and 36.
  33. 33.Find the LCM of 45 and 20.
  34. 34.Find the LCM of 12, 14 and 4.
  35. 35.Find the LCM of 20 and 12.
  36. 36.Find the HCF of 42 and 112.
  37. 37.Find the LCM of 12 and 28.
  38. 38.Find the LCM of 2, 10 and 4.
  39. 39.Find the HCF of 39 and 91.
  40. 40.Find the LCM of 18 and 48.

Answer key

  1. 30
  2. 180
  3. 140
  4. 126
  5. 12
  6. 24
  7. 27
  8. 5
  9. 52
  10. 72
  11. 6
  12. 195
  13. 15
  14. 156
  15. 2
  16. 15
  17. 56
  18. 70
  19. 10
  20. 49
  21. 84
  22. 56
  23. 32
  24. 11
  25. 28
  26. 108
  27. 81
  28. 3
  29. 4
  30. 30
  31. 15
  32. 12
  33. 180
  34. 84
  35. 60
  36. 14
  37. 84
  38. 20
  39. 13
  40. 144

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