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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 305 · 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, 7 and 5.
  2. 2.Find the LCM of 28 and 16.
  3. 3.Find the LCM of 14, 4 and 3.
  4. 4.Find the LCM of 4, 8 and 5.
  5. 5.Find the LCM of 21 and 6.
  6. 6.Find the LCM of 8 and 12.
  7. 7.Find the LCM of 4 and 7.
  8. 8.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 45. What is the other number?
  9. 9.Find the LCM of 7, 13 and 2.
  10. 10.Find the LCM of 8 and 7.
  11. 11.Find the HCF of 28 and 35.
  12. 12.Find the HCF of 55 and 99.
  13. 13.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  14. 14.Find the LCM of 2 and 9.
  15. 15.Find the LCM of 4, 2 and 10.
  16. 16.Find the HCF of 20 and 90.
  17. 17.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 24. What is the other number?
  18. 18.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  19. 19.Find the LCM of 4, 14 and 10.
  20. 20.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 45. What is the other number?
  21. 21.Find the HCF of 20 and 12.
  22. 22.Find the LCM of 3, 8 and 4.
  23. 23.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?
  24. 24.Find the LCM of 10, 4 and 3.
  25. 25.Find the HCF of 77 and 44.
  26. 26.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  27. 27.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  28. 28.Find the HCF of 9 and 12.
  29. 29.Find the HCF of 30 and 12.
  30. 30.Find the HCF of 96 and 84.
  31. 31.Find the LCM of 18 and 4.
  32. 32.Find the LCM of 3 and 7.
  33. 33.Find the LCM of 4, 8 and 2.
  34. 34.Find the HCF of 112 and 98.
  35. 35.Find the LCM of 5, 9 and 6.
  36. 36.Find the LCM of 6, 10 and 12.
  37. 37.Find the LCM of 15, 14 and 10.
  38. 38.Find the LCM of 15, 3 and 7.
  39. 39.Find the HCF of 54 and 63.
  40. 40.Find the LCM of 13, 2 and 14.

Answer key

  1. 70
  2. 112
  3. 84
  4. 40
  5. 42
  6. 24
  7. 28
  8. 72
  9. 182
  10. 56
  11. 7
  12. 11
  13. 4
  14. 18
  15. 20
  16. 10
  17. 27
  18. 35
  19. 140
  20. 27
  21. 4
  22. 24
  23. 14
  24. 60
  25. 11
  26. 16
  27. 40
  28. 3
  29. 6
  30. 12
  31. 36
  32. 21
  33. 8
  34. 14
  35. 90
  36. 60
  37. 210
  38. 105
  39. 9
  40. 182

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