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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 719 · 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 45 and 35.
  2. 2.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?
  3. 3.Find the LCM of 24 and 27.
  4. 4.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 63. What is the other number?
  5. 5.Find the LCM of 12, 5 and 3.
  6. 6.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  7. 7.Find the LCM of 40 and 45.
  8. 8.Find the HCF of 105 and 75.
  9. 9.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  10. 10.Find the HCF of 15 and 10.
  11. 11.Find the HCF of 56 and 48.
  12. 12.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 72. What is the other number?
  13. 13.Find the HCF of 112 and 98.
  14. 14.Find the HCF of 15 and 18.
  15. 15.Find the LCM of 4, 11 and 10.
  16. 16.Find the HCF of 112 and 70.
  17. 17.Find the LCM of 10, 5 and 2.
  18. 18.Find the LCM of 7 and 3.
  19. 19.Find the HCF of 12 and 16.
  20. 20.Find the HCF of 12 and 9.
  21. 21.Find the LCM of 12 and 20.
  22. 22.Find the LCM of 8, 3 and 5.
  23. 23.Find the LCM of 3, 13 and 12.
  24. 24.Find the LCM of 16 and 12.
  25. 25.Find the LCM of 4, 12 and 3.
  26. 26.Find the LCM of 24 and 54.
  27. 27.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 30. What is the other number?
  28. 28.Find the LCM of 3, 14 and 2.
  29. 29.Find the HCF of 64 and 56.
  30. 30.Find the LCM of 8 and 9.
  31. 31.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 28. What is the other number?
  32. 32.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 49. What is the other number?
  33. 33.Find the LCM of 4 and 7.
  34. 34.Find the LCM of 9, 14 and 2.
  35. 35.Find the LCM of 3 and 8.
  36. 36.Find the LCM of 8 and 10.
  37. 37.Find the LCM of 12, 15 and 6.
  38. 38.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  39. 39.Find the HCF of 18 and 14.
  40. 40.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 18. What is the other number?

Answer key

  1. 315
  2. 72
  3. 216
  4. 45
  5. 60
  6. 10
  7. 360
  8. 15
  9. 4
  10. 5
  11. 8
  12. 27
  13. 14
  14. 3
  15. 220
  16. 14
  17. 10
  18. 21
  19. 4
  20. 3
  21. 60
  22. 120
  23. 156
  24. 48
  25. 12
  26. 216
  27. 24
  28. 42
  29. 8
  30. 72
  31. 24
  32. 56
  33. 28
  34. 126
  35. 24
  36. 40
  37. 60
  38. 14
  39. 2
  40. 30

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