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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 437 · 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 10, 3 and 14.
  2. 2.Find the LCM of 6, 8 and 7.
  3. 3.Find the HCF of 80 and 30.
  4. 4.Find the LCM of 15, 9 and 10.
  5. 5.Find the LCM of 5, 6 and 14.
  6. 6.Find the HCF of 15 and 24.
  7. 7.Find the LCM of 12 and 14.
  8. 8.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  9. 9.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  10. 10.Find the LCM of 12, 10 and 4.
  11. 11.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  12. 12.Find the HCF of 77 and 66.
  13. 13.Find the LCM of 25 and 30.
  14. 14.Find the LCM of 6, 3 and 11.
  15. 15.Find the HCF of 33 and 55.
  16. 16.Find the LCM of 2 and 3.
  17. 17.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  18. 18.Find the HCF of 6 and 10.
  19. 19.Find the LCM of 40 and 35.
  20. 20.Find the LCM of 5, 4 and 8.
  21. 21.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 48. What is the other number?
  22. 22.Find the LCM of 8, 6 and 15.
  23. 23.Find the HCF of 70 and 112.
  24. 24.Find the LCM of 10, 2 and 8.
  25. 25.Find the HCF of 18 and 24.
  26. 26.Find the LCM of 24 and 18.
  27. 27.Find the LCM of 6 and 16.
  28. 28.Find the LCM of 20 and 15.
  29. 29.Find the LCM of 7, 2 and 6.
  30. 30.Find the HCF of 27 and 36.
  31. 31.Find the LCM of 12, 10 and 2.
  32. 32.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  33. 33.Find the HCF of 30 and 105.
  34. 34.Find the HCF of 28 and 36.
  35. 35.Find the LCM of 4, 11 and 5.
  36. 36.Find the LCM of 7, 10 and 6.
  37. 37.Find the LCM of 28 and 24.
  38. 38.Find the HCF of 55 and 99.
  39. 39.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  40. 40.Find the HCF of 20 and 25.

Answer key

  1. 210
  2. 168
  3. 10
  4. 90
  5. 210
  6. 3
  7. 84
  8. 20
  9. 48
  10. 60
  11. 21
  12. 11
  13. 150
  14. 66
  15. 11
  16. 6
  17. 24
  18. 2
  19. 280
  20. 40
  21. 42
  22. 120
  23. 14
  24. 40
  25. 6
  26. 72
  27. 48
  28. 60
  29. 42
  30. 9
  31. 60
  32. 40
  33. 15
  34. 4
  35. 220
  36. 210
  37. 168
  38. 11
  39. 27
  40. 5

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