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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 345 · 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 15 and 35.
  2. 2.Find the LCM of 9 and 7.
  3. 3.Find the LCM of 7, 14 and 13.
  4. 4.Find the LCM of 15 and 6.
  5. 5.Find the LCM of 14, 2 and 5.
  6. 6.Find the HCF of 45 and 75.
  7. 7.Find the HCF of 72 and 27.
  8. 8.Find the LCM of 18 and 4.
  9. 9.Find the LCM of 25 and 35.
  10. 10.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 12. What is the other number?
  11. 11.Find the LCM of 42 and 30.
  12. 12.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 10. What is the other number?
  13. 13.Find the LCM of 24 and 28.
  14. 14.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 48. What is the other number?
  15. 15.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 18. What is the other number?
  16. 16.Find the HCF of 70 and 20.
  17. 17.Find the HCF of 36 and 20.
  18. 18.Find the LCM of 9 and 21.
  19. 19.Find the LCM of 3, 4 and 5.
  20. 20.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 72. What is the other number?
  21. 21.Find the HCF of 32 and 20.
  22. 22.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 45. What is the other number?
  23. 23.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 49. What is the other number?
  24. 24.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  25. 25.Find the HCF of 70 and 28.
  26. 26.Find the HCF of 18 and 42.
  27. 27.Find the LCM of 9, 12 and 3.
  28. 28.Find the HCF of 54 and 12.
  29. 29.Find the LCM of 5, 15 and 6.
  30. 30.Find the LCM of 6 and 8.
  31. 31.Find the LCM of 6, 3 and 2.
  32. 32.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  33. 33.Find the LCM of 32 and 28.
  34. 34.Find the LCM of 42 and 54.
  35. 35.Find the LCM of 18 and 24.
  36. 36.Find the LCM of 10 and 16.
  37. 37.Find the LCM of 14, 3 and 15.
  38. 38.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 21. What is the other number?
  39. 39.Find the HCF of 10 and 15.
  40. 40.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 56. What is the other number?

Answer key

  1. 105
  2. 63
  3. 182
  4. 30
  5. 70
  6. 15
  7. 9
  8. 36
  9. 175
  10. 42
  11. 210
  12. 45
  13. 168
  14. 42
  15. 4
  16. 10
  17. 4
  18. 63
  19. 60
  20. 27
  21. 4
  22. 72
  23. 56
  24. 28
  25. 14
  26. 6
  27. 36
  28. 6
  29. 30
  30. 24
  31. 6
  32. 16
  33. 224
  34. 378
  35. 72
  36. 80
  37. 210
  38. 6
  39. 5
  40. 49

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