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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 27 · 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 168. One of the numbers is 56. What is the other number?
  2. 2.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 20. What is the other number?
  3. 3.Find the LCM of 2, 8 and 13.
  4. 4.Find the HCF of 12 and 10.
  5. 5.Find the LCM of 6, 5 and 10.
  6. 6.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  7. 7.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 42. What is the other number?
  8. 8.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 30. What is the other number?
  9. 9.Find the LCM of 3, 2 and 15.
  10. 10.Find the LCM of 11, 5 and 3.
  11. 11.Find the LCM of 12, 15 and 4.
  12. 12.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 28. What is the other number?
  13. 13.Find the LCM of 54 and 12.
  14. 14.Find the LCM of 24 and 9.
  15. 15.Find the LCM of 3 and 4.
  16. 16.Find the LCM of 11, 14 and 7.
  17. 17.Find the LCM of 54 and 24.
  18. 18.Find the LCM of 10, 15 and 4.
  19. 19.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 48. What is the other number?
  20. 20.Find the LCM of 15 and 18.
  21. 21.Find the LCM of 10, 4 and 15.
  22. 22.Find the LCM of 8, 3 and 7.
  23. 23.Find the HCF of 20 and 32.
  24. 24.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 72. What is the other number?
  25. 25.Find the HCF of 28 and 20.
  26. 26.Find the LCM of 8, 3 and 6.
  27. 27.Find the LCM of 6, 7 and 5.
  28. 28.Find the HCF of 45 and 63.
  29. 29.Find the HCF of 65 and 39.
  30. 30.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 20. What is the other number?
  31. 31.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 63. What is the other number?
  32. 32.Find the LCM of 7 and 6.
  33. 33.Find the HCF of 20 and 90.
  34. 34.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  35. 35.Find the LCM of 9, 2 and 14.
  36. 36.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 54. What is the other number?
  37. 37.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?
  38. 38.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 56. What is the other number?
  39. 39.Find the LCM of 27 and 12.
  40. 40.Find the HCF of 88 and 77.

Answer key

  1. 24
  2. 25
  3. 104
  4. 2
  5. 30
  6. 12
  7. 24
  8. 25
  9. 30
  10. 165
  11. 60
  12. 12
  13. 108
  14. 72
  15. 12
  16. 154
  17. 216
  18. 60
  19. 56
  20. 90
  21. 60
  22. 168
  23. 4
  24. 56
  25. 4
  26. 24
  27. 210
  28. 9
  29. 13
  30. 28
  31. 81
  32. 42
  33. 10
  34. 12
  35. 126
  36. 24
  37. 12
  38. 16
  39. 108
  40. 11

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