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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 652 · 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 3, 12 and 6.
  2. 2.Find the LCM of 14, 9 and 7.
  3. 3.Find the HCF of 40 and 32.
  4. 4.Find the HCF of 21 and 9.
  5. 5.Find the HCF of 45 and 54.
  6. 6.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 20. What is the other number?
  7. 7.Find the LCM of 3, 8 and 4.
  8. 8.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 32. What is the other number?
  9. 9.Find the LCM of 18 and 42.
  10. 10.Find the HCF of 70 and 30.
  11. 11.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  12. 12.Find the LCM of 14 and 4.
  13. 13.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 27. What is the other number?
  14. 14.Find the LCM of 4, 14 and 7.
  15. 15.Find the LCM of 12 and 32.
  16. 16.Find the HCF of 8 and 36.
  17. 17.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 45. What is the other number?
  18. 18.Find the LCM of 40 and 25.
  19. 19.Find the LCM of 5 and 2.
  20. 20.Find the LCM of 5, 12 and 3.
  21. 21.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  22. 22.Find the LCM of 7, 8 and 12.
  23. 23.Find the LCM of 20 and 15.
  24. 24.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  25. 25.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  26. 26.Find the HCF of 42 and 54.
  27. 27.Find the LCM of 13, 4 and 12.
  28. 28.Find the LCM of 3, 9 and 13.
  29. 29.Find the HCF of 21 and 35.
  30. 30.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 40. What is the other number?
  31. 31.Find the LCM of 25 and 40.
  32. 32.Find the LCM of 27 and 12.
  33. 33.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 24. What is the other number?
  34. 34.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?
  35. 35.Find the HCF of 20 and 12.
  36. 36.Find the HCF of 36 and 48.
  37. 37.Find the LCM of 3, 7 and 4.
  38. 38.Find the LCM of 3, 6 and 10.
  39. 39.Find the LCM of 4 and 14.
  40. 40.Find the LCM of 24 and 20.

Answer key

  1. 12
  2. 126
  3. 8
  4. 3
  5. 9
  6. 16
  7. 24
  8. 40
  9. 126
  10. 10
  11. 15
  12. 28
  13. 12
  14. 28
  15. 96
  16. 4
  17. 27
  18. 200
  19. 10
  20. 60
  21. 63
  22. 168
  23. 60
  24. 28
  25. 9
  26. 6
  27. 156
  28. 117
  29. 7
  30. 72
  31. 200
  32. 108
  33. 40
  34. 40
  35. 4
  36. 12
  37. 84
  38. 30
  39. 28
  40. 120

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