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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 414 · 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 36 and 16.
  2. 2.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 8. What is the other number?
  3. 3.Find the LCM of 7, 12 and 14.
  4. 4.Find the LCM of 9, 3 and 5.
  5. 5.Find the HCF of 16 and 20.
  6. 6.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?
  7. 7.Find the HCF of 32 and 28.
  8. 8.Find the LCM of 3, 2 and 4.
  9. 9.Find the LCM of 2, 13 and 7.
  10. 10.Find the LCM of 4 and 7.
  11. 11.Find the LCM of 12 and 18.
  12. 12.Find the LCM of 2, 13 and 4.
  13. 13.Find the LCM of 8 and 6.
  14. 14.Find the LCM of 5, 7 and 2.
  15. 15.Find the LCM of 3, 10 and 14.
  16. 16.Find the LCM of 7, 15 and 10.
  17. 17.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  18. 18.Find the LCM of 7, 4 and 5.
  19. 19.Find the LCM of 9 and 4.
  20. 20.Find the LCM of 15 and 40.
  21. 21.Find the HCF of 63 and 56.
  22. 22.Find the LCM of 12 and 27.
  23. 23.Find the HCF of 42 and 98.
  24. 24.Find the LCM of 2, 11 and 7.
  25. 25.Find the LCM of 2, 12 and 8.
  26. 26.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 21. What is the other number?
  27. 27.Find the LCM of 30 and 18.
  28. 28.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 45. What is the other number?
  29. 29.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  30. 30.Find the HCF of 42 and 30.
  31. 31.Find the HCF of 32 and 24.
  32. 32.Find the LCM of 4, 6 and 9.
  33. 33.Find the LCM of 45 and 40.
  34. 34.Find the LCM of 14, 3 and 5.
  35. 35.Find the LCM of 5, 9 and 12.
  36. 36.Find the HCF of 36 and 32.
  37. 37.Find the HCF of 8 and 20.
  38. 38.Find the LCM of 8 and 20.
  39. 39.Find the HCF of 105 and 45.
  40. 40.Find the LCM of 2, 4 and 5.

Answer key

  1. 144
  2. 36
  3. 84
  4. 45
  5. 4
  6. 18
  7. 4
  8. 12
  9. 182
  10. 28
  11. 36
  12. 52
  13. 24
  14. 70
  15. 210
  16. 210
  17. 21
  18. 140
  19. 36
  20. 120
  21. 7
  22. 108
  23. 14
  24. 154
  25. 24
  26. 6
  27. 90
  28. 40
  29. 16
  30. 6
  31. 8
  32. 36
  33. 360
  34. 210
  35. 180
  36. 4
  37. 4
  38. 40
  39. 15
  40. 20

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