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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 443 · 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, 14 and 6.
  2. 2.Find the HCF of 35 and 63.
  3. 3.Find the LCM of 3, 6 and 7.
  4. 4.Find the LCM of 12, 9 and 8.
  5. 5.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 72. What is the other number?
  6. 6.Find the LCM of 15, 12 and 4.
  7. 7.Find the LCM of 3, 8 and 6.
  8. 8.Find the LCM of 36 and 16.
  9. 9.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 24. What is the other number?
  10. 10.Find the LCM of 9, 2 and 13.
  11. 11.Find the LCM of 5, 15 and 2.
  12. 12.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?
  13. 13.Find the HCF of 45 and 36.
  14. 14.Find the LCM of 42 and 36.
  15. 15.Find the LCM of 12 and 27.
  16. 16.Find the LCM of 12, 6 and 2.
  17. 17.Find the HCF of 8 and 20.
  18. 18.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  19. 19.Find the HCF of 99 and 55.
  20. 20.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 45. What is the other number?
  21. 21.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  22. 22.Find the LCM of 35 and 15.
  23. 23.Find the LCM of 28 and 12.
  24. 24.Find the LCM of 2, 15 and 12.
  25. 25.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  26. 26.Find the LCM of 2, 7 and 13.
  27. 27.Find the LCM of 8 and 7.
  28. 28.Find the LCM of 20 and 45.
  29. 29.Find the LCM of 10 and 4.
  30. 30.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 20. What is the other number?
  31. 31.Find the HCF of 12 and 18.
  32. 32.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  33. 33.Find the LCM of 12 and 14.
  34. 34.Find the HCF of 27 and 6.
  35. 35.Find the LCM of 14, 3 and 12.
  36. 36.Find the LCM of 5, 10 and 6.
  37. 37.Find the HCF of 104 and 65.
  38. 38.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 48. What is the other number?
  39. 39.Find the LCM of 35 and 10.
  40. 40.Find the LCM of 30 and 35.

Answer key

  1. 210
  2. 7
  3. 42
  4. 72
  5. 64
  6. 60
  7. 24
  8. 144
  9. 9
  10. 234
  11. 30
  12. 12
  13. 9
  14. 252
  15. 108
  16. 12
  17. 4
  18. 24
  19. 11
  20. 35
  21. 24
  22. 105
  23. 84
  24. 60
  25. 12
  26. 182
  27. 56
  28. 180
  29. 20
  30. 25
  31. 6
  32. 9
  33. 84
  34. 3
  35. 84
  36. 30
  37. 13
  38. 40
  39. 70
  40. 210

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