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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 62 · 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 28 and 20.
  2. 2.Find the LCM of 2 and 3.
  3. 3.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 35. What is the other number?
  4. 4.Find the LCM of 12, 6 and 5.
  5. 5.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 36. What is the other number?
  6. 6.Find the LCM of 42 and 48.
  7. 7.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 15. What is the other number?
  8. 8.Find the HCF of 105 and 45.
  9. 9.Find the LCM of 12 and 54.
  10. 10.Find the LCM of 36 and 16.
  11. 11.Find the HCF of 10 and 18.
  12. 12.Find the LCM of 28 and 12.
  13. 13.Find the HCF of 49 and 21.
  14. 14.Find the LCM of 8, 6 and 3.
  15. 15.Find the LCM of 42 and 18.
  16. 16.Find the HCF of 60 and 48.
  17. 17.Find the LCM of 20 and 28.
  18. 18.Find the LCM of 54 and 30.
  19. 19.Find the LCM of 2, 5 and 9.
  20. 20.Find the LCM of 7, 9 and 2.
  21. 21.Find the HCF of 24 and 84.
  22. 22.Find the HCF of 60 and 36.
  23. 23.Find the HCF of 10 and 45.
  24. 24.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  25. 25.Find the HCF of 45 and 81.
  26. 26.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 45. What is the other number?
  27. 27.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 24. What is the other number?
  28. 28.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  29. 29.Find the LCM of 24 and 42.
  30. 30.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 24. What is the other number?
  31. 31.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 42. What is the other number?
  32. 32.Find the LCM of 11, 10 and 4.
  33. 33.Find the HCF of 10 and 4.
  34. 34.Find the LCM of 6, 2 and 4.
  35. 35.Find the LCM of 21 and 18.
  36. 36.Find the LCM of 25 and 20.
  37. 37.Find the LCM of 7 and 8.
  38. 38.Find the LCM of 15 and 21.
  39. 39.Find the LCM of 13, 12 and 2.
  40. 40.Find the LCM of 48 and 18.

Answer key

  1. 140
  2. 6
  3. 56
  4. 60
  5. 30
  6. 336
  7. 18
  8. 15
  9. 108
  10. 144
  11. 2
  12. 84
  13. 7
  14. 24
  15. 126
  16. 12
  17. 140
  18. 270
  19. 90
  20. 126
  21. 12
  22. 12
  23. 5
  24. 15
  25. 9
  26. 36
  27. 9
  28. 48
  29. 168
  30. 21
  31. 24
  32. 220
  33. 2
  34. 12
  35. 126
  36. 100
  37. 56
  38. 105
  39. 156
  40. 144

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