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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 282 · 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 25 and 45.
  2. 2.Find the HCF of 18 and 27.
  3. 3.Find the LCM of 6, 15 and 8.
  4. 4.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 15. What is the other number?
  5. 5.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  6. 6.Find the HCF of 14 and 63.
  7. 7.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  8. 8.Find the HCF of 24 and 21.
  9. 9.Find the LCM of 7 and 9.
  10. 10.Find the LCM of 3, 12 and 4.
  11. 11.Find the LCM of 35 and 40.
  12. 12.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 63. What is the other number?
  13. 13.Find the HCF of 12 and 28.
  14. 14.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  15. 15.Find the LCM of 6, 11 and 3.
  16. 16.Find the LCM of 8, 7 and 2.
  17. 17.Find the LCM of 42 and 54.
  18. 18.Find the HCF of 90 and 40.
  19. 19.Find the LCM of 18 and 12.
  20. 20.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 35. What is the other number?
  21. 21.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  22. 22.Find the LCM of 12, 11 and 4.
  23. 23.Find the HCF of 30 and 24.
  24. 24.Find the LCM of 12 and 54.
  25. 25.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 14. What is the other number?
  26. 26.Find the LCM of 9 and 24.
  27. 27.Find the LCM of 12 and 30.
  28. 28.Find the LCM of 14, 13 and 2.
  29. 29.Find the LCM of 5, 3 and 6.
  30. 30.Find the LCM of 16 and 10.
  31. 31.Find the LCM of 7, 10 and 3.
  32. 32.Find the HCF of 27 and 18.
  33. 33.Find the LCM of 10 and 25.
  34. 34.Find the LCM of 6, 11 and 2.
  35. 35.Find the LCM of 8, 7 and 14.
  36. 36.Find the LCM of 18 and 14.
  37. 37.Find the LCM of 20 and 35.
  38. 38.Find the LCM of 36 and 8.
  39. 39.Find the LCM of 9, 12 and 15.
  40. 40.Find the HCF of 30 and 48.

Answer key

  1. 225
  2. 9
  3. 120
  4. 25
  5. 18
  6. 7
  7. 24
  8. 3
  9. 63
  10. 12
  11. 280
  12. 14
  13. 4
  14. 9
  15. 66
  16. 56
  17. 378
  18. 10
  19. 36
  20. 42
  21. 14
  22. 132
  23. 6
  24. 108
  25. 8
  26. 72
  27. 60
  28. 182
  29. 30
  30. 80
  31. 210
  32. 9
  33. 50
  34. 66
  35. 56
  36. 126
  37. 140
  38. 72
  39. 180
  40. 6

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