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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 244 · 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 9 and their LCM is 504. One of the numbers is 72. What is the other number?
  2. 2.Find the LCM of 2, 14 and 3.
  3. 3.Find the LCM of 2, 5 and 3.
  4. 4.Find the HCF of 12 and 30.
  5. 5.Find the HCF of 8 and 14.
  6. 6.Find the HCF of 65 and 78.
  7. 7.Find the HCF of 22 and 55.
  8. 8.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  9. 9.Find the LCM of 7, 6 and 3.
  10. 10.Find the LCM of 28 and 16.
  11. 11.Find the LCM of 12, 9 and 4.
  12. 12.Find the HCF of 24 and 16.
  13. 13.Find the LCM of 24 and 54.
  14. 14.Find the HCF of 90 and 70.
  15. 15.Find the LCM of 4, 13 and 2.
  16. 16.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  17. 17.Find the LCM of 15, 4 and 10.
  18. 18.Find the LCM of 9 and 24.
  19. 19.Find the HCF of 8 and 28.
  20. 20.Find the LCM of 10, 2 and 8.
  21. 21.Find the LCM of 4, 12 and 5.
  22. 22.Find the HCF of 56 and 40.
  23. 23.Find the LCM of 10, 5 and 6.
  24. 24.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 15. What is the other number?
  25. 25.Find the LCM of 12, 3 and 10.
  26. 26.Find the LCM of 8 and 9.
  27. 27.Find the HCF of 28 and 20.
  28. 28.Find the HCF of 36 and 63.
  29. 29.Find the LCM of 7, 5 and 15.
  30. 30.Find the LCM of 4, 6 and 5.
  31. 31.Find the HCF of 104 and 65.
  32. 32.Find the LCM of 4, 14 and 6.
  33. 33.Find the LCM of 27 and 24.
  34. 34.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 12. What is the other number?
  35. 35.Find the HCF of 44 and 55.
  36. 36.Find the HCF of 26 and 117.
  37. 37.Find the LCM of 16 and 28.
  38. 38.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 30. What is the other number?
  39. 39.Find the LCM of 15, 10 and 3.
  40. 40.Find the LCM of 3, 13 and 5.

Answer key

  1. 63
  2. 42
  3. 30
  4. 6
  5. 2
  6. 13
  7. 11
  8. 10
  9. 42
  10. 112
  11. 36
  12. 8
  13. 216
  14. 10
  15. 52
  16. 24
  17. 60
  18. 72
  19. 4
  20. 40
  21. 60
  22. 8
  23. 30
  24. 12
  25. 60
  26. 72
  27. 4
  28. 9
  29. 105
  30. 60
  31. 13
  32. 84
  33. 216
  34. 32
  35. 11
  36. 13
  37. 112
  38. 25
  39. 30
  40. 195

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