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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 23 · 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 HCF of 56 and 98.
  2. 2.Find the HCF of 65 and 52.
  3. 3.Find the HCF of 15 and 18.
  4. 4.Find the HCF of 18 and 30.
  5. 5.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  6. 6.Find the HCF of 8 and 12.
  7. 7.Find the LCM of 12 and 8.
  8. 8.Find the LCM of 54 and 42.
  9. 9.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 81. What is the other number?
  10. 10.Find the LCM of 15, 12 and 3.
  11. 11.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  12. 12.Find the HCF of 45 and 35.
  13. 13.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  14. 14.Find the LCM of 4 and 6.
  15. 15.Find the LCM of 48 and 54.
  16. 16.Find the LCM of 7, 15 and 3.
  17. 17.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  18. 18.Find the LCM of 2, 3 and 7.
  19. 19.Find the HCF of 20 and 32.
  20. 20.Find the LCM of 10 and 35.
  21. 21.Find the HCF of 10 and 14.
  22. 22.Find the LCM of 10 and 8.
  23. 23.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 54. What is the other number?
  24. 24.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  25. 25.Find the HCF of 105 and 60.
  26. 26.Find the LCM of 28 and 24.
  27. 27.Find the LCM of 5, 4 and 8.
  28. 28.Find the LCM of 4, 5 and 12.
  29. 29.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  30. 30.Find the LCM of 8, 3 and 4.
  31. 31.Find the HCF of 75 and 30.
  32. 32.Find the LCM of 24 and 18.
  33. 33.Find the LCM of 54 and 24.
  34. 34.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?
  35. 35.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 36. What is the other number?
  36. 36.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 21. What is the other number?
  37. 37.Find the LCM of 7, 4 and 12.
  38. 38.Find the LCM of 24 and 54.
  39. 39.Find the LCM of 5, 6 and 15.
  40. 40.Find the LCM of 11, 2 and 12.

Answer key

  1. 14
  2. 13
  3. 3
  4. 6
  5. 36
  6. 4
  7. 24
  8. 378
  9. 18
  10. 60
  11. 48
  12. 5
  13. 24
  14. 12
  15. 432
  16. 105
  17. 14
  18. 42
  19. 4
  20. 70
  21. 2
  22. 40
  23. 42
  24. 14
  25. 15
  26. 168
  27. 40
  28. 60
  29. 14
  30. 24
  31. 15
  32. 72
  33. 216
  34. 18
  35. 30
  36. 35
  37. 84
  38. 216
  39. 30
  40. 132

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