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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 222 · 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.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 24. What is the other number?
  2. 2.Find the LCM of 32 and 12.
  3. 3.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 10. What is the other number?
  4. 4.Find the LCM of 7, 6 and 8.
  5. 5.Find the LCM of 13, 3 and 9.
  6. 6.Find the HCF of 126 and 56.
  7. 7.Find the HCF of 90 and 20.
  8. 8.Find the HCF of 90 and 40.
  9. 9.Find the LCM of 21 and 18.
  10. 10.Find the LCM of 15, 6 and 2.
  11. 11.Find the LCM of 3, 15 and 6.
  12. 12.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 72. What is the other number?
  13. 13.Find the LCM of 3, 6 and 7.
  14. 14.Find the HCF of 81 and 63.
  15. 15.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 40. What is the other number?
  16. 16.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 35. What is the other number?
  17. 17.Find the HCF of 15 and 40.
  18. 18.Find the LCM of 20 and 8.
  19. 19.Find the LCM of 9, 6 and 11.
  20. 20.Find the LCM of 6, 15 and 5.
  21. 21.Find the LCM of 8 and 10.
  22. 22.Find the HCF of 32 and 12.
  23. 23.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  24. 24.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 45. What is the other number?
  25. 25.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 36. What is the other number?
  26. 26.Find the LCM of 3, 10 and 7.
  27. 27.Find the LCM of 8 and 12.
  28. 28.Find the HCF of 52 and 39.
  29. 29.Find the HCF of 42 and 28.
  30. 30.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  31. 31.Find the LCM of 4, 6 and 10.
  32. 32.Find the LCM of 2 and 5.
  33. 33.Find the HCF of 120 and 135.
  34. 34.Find the LCM of 32 and 36.
  35. 35.Find the LCM of 2, 9 and 12.
  36. 36.Find the HCF of 30 and 24.
  37. 37.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 27. What is the other number?
  38. 38.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 45. What is the other number?
  39. 39.Find the LCM of 6 and 27.
  40. 40.Find the LCM of 6, 13 and 4.

Answer key

  1. 30
  2. 96
  3. 8
  4. 168
  5. 117
  6. 14
  7. 10
  8. 10
  9. 126
  10. 30
  11. 30
  12. 40
  13. 42
  14. 9
  15. 15
  16. 15
  17. 5
  18. 40
  19. 198
  20. 30
  21. 40
  22. 4
  23. 8
  24. 72
  25. 42
  26. 210
  27. 24
  28. 13
  29. 14
  30. 24
  31. 60
  32. 10
  33. 15
  34. 288
  35. 36
  36. 6
  37. 12
  38. 25
  39. 54
  40. 156

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