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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 725 · 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 9 and 12.
  2. 2.Find the LCM of 6, 15 and 2.
  3. 3.Find the HCF of 52 and 39.
  4. 4.Find the LCM of 2, 12 and 14.
  5. 5.Find the LCM of 14, 13 and 2.
  6. 6.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  7. 7.Find the LCM of 5, 11 and 4.
  8. 8.Find the LCM of 14 and 12.
  9. 9.Find the LCM of 12, 6 and 13.
  10. 10.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?
  11. 11.Find the HCF of 39 and 104.
  12. 12.Find the LCM of 2, 8 and 3.
  13. 13.Find the LCM of 11, 6 and 4.
  14. 14.Find the HCF of 24 and 84.
  15. 15.Find the LCM of 14, 7 and 4.
  16. 16.Find the LCM of 30 and 18.
  17. 17.Find the LCM of 5 and 3.
  18. 18.Find the HCF of 72 and 63.
  19. 19.Find the LCM of 6, 4 and 14.
  20. 20.Find the LCM of 6 and 21.
  21. 21.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 18. What is the other number?
  22. 22.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 45. What is the other number?
  23. 23.Find the LCM of 28 and 8.
  24. 24.Find the HCF of 21 and 12.
  25. 25.Find the HCF of 55 and 77.
  26. 26.Find the HCF of 6 and 21.
  27. 27.Find the LCM of 12, 2 and 8.
  28. 28.Find the HCF of 14 and 8.
  29. 29.Find the LCM of 2, 8 and 14.
  30. 30.Find the HCF of 27 and 63.
  31. 31.Find the LCM of 11, 10 and 5.
  32. 32.Find the LCM of 3, 10 and 12.
  33. 33.Find the LCM of 2, 15 and 12.
  34. 34.Find the HCF of 70 and 90.
  35. 35.Find the HCF of 21 and 24.
  36. 36.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 36. What is the other number?
  37. 37.Find the LCM of 8 and 9.
  38. 38.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  39. 39.Find the LCM of 42 and 36.
  40. 40.Find the HCF of 66 and 77.

Answer key

  1. 36
  2. 30
  3. 13
  4. 84
  5. 182
  6. 12
  7. 220
  8. 84
  9. 156
  10. 12
  11. 13
  12. 24
  13. 132
  14. 12
  15. 28
  16. 90
  17. 15
  18. 9
  19. 84
  20. 42
  21. 21
  22. 81
  23. 56
  24. 3
  25. 11
  26. 3
  27. 24
  28. 2
  29. 56
  30. 9
  31. 110
  32. 60
  33. 60
  34. 10
  35. 3
  36. 28
  37. 72
  38. 18
  39. 252
  40. 11

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