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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 56 · 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 12 and 14.
  2. 2.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  3. 3.Find the LCM of 12 and 10.
  4. 4.Find the LCM of 6 and 21.
  5. 5.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 72. What is the other number?
  6. 6.Find the LCM of 15 and 9.
  7. 7.Find the HCF of 15 and 21.
  8. 8.Find the HCF of 70 and 56.
  9. 9.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  10. 10.Find the LCM of 8, 2 and 11.
  11. 11.Find the HCF of 25 and 15.
  12. 12.Find the HCF of 18 and 10.
  13. 13.Find the LCM of 2, 14 and 8.
  14. 14.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 42. What is the other number?
  15. 15.Find the LCM of 10 and 25.
  16. 16.Find the HCF of 24 and 64.
  17. 17.Find the HCF of 10 and 8.
  18. 18.Find the HCF of 75 and 135.
  19. 19.Find the LCM of 10, 6 and 5.
  20. 20.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 20. What is the other number?
  21. 21.Find the LCM of 21 and 18.
  22. 22.Find the HCF of 65 and 104.
  23. 23.Find the LCM of 5, 10 and 4.
  24. 24.Find the LCM of 14 and 6.
  25. 25.Find the HCF of 10 and 4.
  26. 26.Find the LCM of 2, 13 and 4.
  27. 27.Find the LCM of 5 and 4.
  28. 28.Find the LCM of 42 and 18.
  29. 29.Find the LCM of 4 and 6.
  30. 30.Find the HCF of 16 and 14.
  31. 31.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 18. What is the other number?
  32. 32.Find the LCM of 10, 2 and 6.
  33. 33.Find the HCF of 30 and 80.
  34. 34.Find the LCM of 10 and 35.
  35. 35.Find the LCM of 8, 10 and 6.
  36. 36.Find the LCM of 21 and 24.
  37. 37.Find the HCF of 18 and 27.
  38. 38.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 25. What is the other number?
  39. 39.Find the LCM of 13, 2 and 14.
  40. 40.Find the LCM of 8 and 7.

Answer key

  1. 84
  2. 16
  3. 60
  4. 42
  5. 63
  6. 45
  7. 3
  8. 14
  9. 40
  10. 88
  11. 5
  12. 2
  13. 56
  14. 48
  15. 50
  16. 8
  17. 2
  18. 15
  19. 30
  20. 36
  21. 126
  22. 13
  23. 20
  24. 42
  25. 2
  26. 52
  27. 20
  28. 126
  29. 12
  30. 2
  31. 48
  32. 30
  33. 10
  34. 70
  35. 120
  36. 168
  37. 9
  38. 45
  39. 182
  40. 56

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