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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 218 · 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.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 64. What is the other number?
  2. 2.Find the HCF of 117 and 104.
  3. 3.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?
  4. 4.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 45. What is the other number?
  5. 5.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  6. 6.Find the LCM of 9 and 8.
  7. 7.Find the LCM of 6 and 10.
  8. 8.Find the LCM of 30 and 48.
  9. 9.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 45. What is the other number?
  10. 10.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 10. What is the other number?
  11. 11.Find the LCM of 2, 11 and 4.
  12. 12.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  13. 13.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 36. What is the other number?
  14. 14.Find the HCF of 70 and 56.
  15. 15.Find the LCM of 3, 4 and 14.
  16. 16.Find the LCM of 6, 3 and 13.
  17. 17.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  18. 18.Find the LCM of 6, 4 and 12.
  19. 19.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 20. What is the other number?
  20. 20.Find the HCF of 25 and 40.
  21. 21.Find the LCM of 12 and 42.
  22. 22.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 36. What is the other number?
  23. 23.Find the HCF of 56 and 24.
  24. 24.Find the LCM of 2 and 7.
  25. 25.Find the LCM of 4 and 6.
  26. 26.Find the HCF of 70 and 20.
  27. 27.Find the LCM of 4, 6 and 12.
  28. 28.Find the LCM of 2, 6 and 12.
  29. 29.Find the LCM of 32 and 28.
  30. 30.Find the LCM of 54 and 24.
  31. 31.Find the HCF of 30 and 45.
  32. 32.Find the LCM of 42 and 36.
  33. 33.Find the HCF of 55 and 88.
  34. 34.Find the LCM of 4 and 3.
  35. 35.Find the LCM of 15, 6 and 10.
  36. 36.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?
  37. 37.Find the LCM of 15, 4 and 12.
  38. 38.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  39. 39.Find the LCM of 5, 10 and 6.
  40. 40.Find the LCM of 14 and 12.

Answer key

  1. 72
  2. 13
  3. 6
  4. 81
  5. 8
  6. 72
  7. 30
  8. 240
  9. 40
  10. 16
  11. 44
  12. 40
  13. 20
  14. 14
  15. 84
  16. 78
  17. 21
  18. 12
  19. 45
  20. 5
  21. 84
  22. 30
  23. 8
  24. 14
  25. 12
  26. 10
  27. 12
  28. 12
  29. 224
  30. 216
  31. 15
  32. 252
  33. 11
  34. 12
  35. 30
  36. 8
  37. 60
  38. 21
  39. 30
  40. 84

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