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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 510 · 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 9, 3 and 2.
  2. 2.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?
  3. 3.Find the HCF of 45 and 36.
  4. 4.Find the LCM of 14 and 8.
  5. 5.Find the HCF of 42 and 56.
  6. 6.Find the LCM of 6 and 21.
  7. 7.Find the HCF of 20 and 24.
  8. 8.Find the LCM of 8 and 28.
  9. 9.Find the LCM of 30 and 25.
  10. 10.Find the LCM of 9, 2 and 8.
  11. 11.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 49. What is the other number?
  12. 12.Find the LCM of 2, 5 and 3.
  13. 13.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  14. 14.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 40. What is the other number?
  15. 15.Find the LCM of 48 and 30.
  16. 16.Find the LCM of 25 and 40.
  17. 17.Find the HCF of 70 and 98.
  18. 18.Find the LCM of 3, 5 and 6.
  19. 19.Find the HCF of 20 and 15.
  20. 20.Find the HCF of 48 and 36.
  21. 21.Find the LCM of 4, 12 and 8.
  22. 22.Find the LCM of 16 and 10.
  23. 23.Find the LCM of 48 and 18.
  24. 24.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  25. 25.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 18. What is the other number?
  26. 26.Find the LCM of 28 and 16.
  27. 27.Find the HCF of 18 and 21.
  28. 28.Find the LCM of 2, 6 and 8.
  29. 29.Find the LCM of 2, 9 and 11.
  30. 30.Find the HCF of 90 and 105.
  31. 31.Find the HCF of 55 and 99.
  32. 32.Find the LCM of 2, 4 and 5.
  33. 33.Find the HCF of 30 and 48.
  34. 34.Find the LCM of 5 and 4.
  35. 35.Find the LCM of 45 and 40.
  36. 36.Find the HCF of 21 and 14.
  37. 37.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 35. What is the other number?
  38. 38.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 35. What is the other number?
  39. 39.Find the LCM of 5, 4 and 10.
  40. 40.Find the LCM of 6 and 14.

Answer key

  1. 18
  2. 72
  3. 9
  4. 56
  5. 14
  6. 42
  7. 4
  8. 56
  9. 150
  10. 72
  11. 63
  12. 30
  13. 48
  14. 48
  15. 240
  16. 200
  17. 14
  18. 30
  19. 5
  20. 12
  21. 24
  22. 80
  23. 144
  24. 27
  25. 24
  26. 112
  27. 3
  28. 24
  29. 198
  30. 15
  31. 11
  32. 20
  33. 6
  34. 20
  35. 360
  36. 7
  37. 49
  38. 21
  39. 20
  40. 42

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