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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 440 · 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 3 and 7.
  2. 2.Find the LCM of 5 and 6.
  3. 3.Find the LCM of 10, 6 and 8.
  4. 4.Find the LCM of 8 and 28.
  5. 5.Find the LCM of 4, 14 and 5.
  6. 6.Find the LCM of 14, 4 and 7.
  7. 7.Find the HCF of 12 and 10.
  8. 8.Find the LCM of 5, 6 and 4.
  9. 9.Find the LCM of 5, 14 and 4.
  10. 10.Find the HCF of 112 and 98.
  11. 11.Find the LCM of 2, 4 and 12.
  12. 12.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?
  13. 13.Find the HCF of 81 and 36.
  14. 14.Find the HCF of 60 and 75.
  15. 15.Find the LCM of 4, 6 and 5.
  16. 16.Find the LCM of 15 and 40.
  17. 17.Find the LCM of 3, 9 and 6.
  18. 18.Find the LCM of 5, 2 and 12.
  19. 19.Find the LCM of 5, 11 and 4.
  20. 20.Find the LCM of 9 and 7.
  21. 21.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  22. 22.Find the LCM of 15, 5 and 8.
  23. 23.Find the LCM of 13, 5 and 10.
  24. 24.Find the HCF of 42 and 30.
  25. 25.Find the HCF of 120 and 105.
  26. 26.Find the LCM of 2 and 3.
  27. 27.Find the HCF of 30 and 135.
  28. 28.Find the LCM of 18 and 30.
  29. 29.Find the HCF of 55 and 99.
  30. 30.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 35. What is the other number?
  31. 31.Find the LCM of 4, 3 and 12.
  32. 32.Find the LCM of 12 and 54.
  33. 33.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  34. 34.Find the LCM of 14, 12 and 2.
  35. 35.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  36. 36.Find the LCM of 15 and 10.
  37. 37.Find the LCM of 9 and 24.
  38. 38.Find the HCF of 15 and 25.
  39. 39.Find the LCM of 14 and 4.
  40. 40.Find the LCM of 18 and 21.

Answer key

  1. 21
  2. 30
  3. 120
  4. 56
  5. 140
  6. 28
  7. 2
  8. 60
  9. 140
  10. 14
  11. 12
  12. 16
  13. 9
  14. 15
  15. 60
  16. 120
  17. 18
  18. 60
  19. 220
  20. 63
  21. 14
  22. 120
  23. 130
  24. 6
  25. 15
  26. 6
  27. 15
  28. 90
  29. 11
  30. 14
  31. 12
  32. 108
  33. 63
  34. 84
  35. 27
  36. 30
  37. 72
  38. 5
  39. 28
  40. 126

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