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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 8 · 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 HCF of 27 and 6.
  2. 2.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 40. What is the other number?
  3. 3.Find the LCM of 3, 11 and 12.
  4. 4.Find the HCF of 55 and 22.
  5. 5.Find the LCM of 8 and 6.
  6. 6.Find the LCM of 4 and 6.
  7. 7.Find the HCF of 12 and 21.
  8. 8.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 42. What is the other number?
  9. 9.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 48. What is the other number?
  10. 10.Find the LCM of 5, 6 and 7.
  11. 11.Find the LCM of 14 and 4.
  12. 12.Find the HCF of 120 and 45.
  13. 13.Find the LCM of 12 and 18.
  14. 14.Find the LCM of 10 and 18.
  15. 15.Find the LCM of 6, 4 and 14.
  16. 16.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?
  17. 17.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 63. What is the other number?
  18. 18.Find the LCM of 6, 4 and 12.
  19. 19.Find the HCF of 33 and 44.
  20. 20.Find the LCM of 10, 12 and 8.
  21. 21.Find the LCM of 8 and 14.
  22. 22.Find the LCM of 42 and 12.
  23. 23.Find the LCM of 10 and 45.
  24. 24.Find the LCM of 36 and 30.
  25. 25.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 28. What is the other number?
  26. 26.Find the LCM of 10, 15 and 3.
  27. 27.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 32. What is the other number?
  28. 28.Find the LCM of 2 and 5.
  29. 29.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 63. What is the other number?
  30. 30.Find the HCF of 12 and 20.
  31. 31.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 15. What is the other number?
  32. 32.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 63. What is the other number?
  33. 33.Find the LCM of 30 and 54.
  34. 34.Find the LCM of 21 and 9.
  35. 35.Find the HCF of 56 and 42.
  36. 36.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  37. 37.Find the LCM of 4, 12 and 6.
  38. 38.Find the HCF of 18 and 63.
  39. 39.Find the LCM of 15, 6 and 4.
  40. 40.Find the LCM of 12 and 16.

Answer key

  1. 3
  2. 56
  3. 132
  4. 11
  5. 24
  6. 12
  7. 3
  8. 48
  9. 30
  10. 210
  11. 28
  12. 15
  13. 36
  14. 90
  15. 84
  16. 8
  17. 56
  18. 12
  19. 11
  20. 120
  21. 56
  22. 84
  23. 90
  24. 180
  25. 8
  26. 30
  27. 28
  28. 10
  29. 72
  30. 4
  31. 27
  32. 49
  33. 270
  34. 63
  35. 14
  36. 40
  37. 12
  38. 9
  39. 60
  40. 48

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