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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 361 · 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 25 and 45.
  2. 2.Find the LCM of 14 and 4.
  3. 3.Find the LCM of 3 and 8.
  4. 4.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 16. What is the other number?
  5. 5.Find the LCM of 25 and 15.
  6. 6.Find the LCM of 9, 11 and 6.
  7. 7.Find the HCF of 28 and 20.
  8. 8.Find the LCM of 3, 2 and 13.
  9. 9.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 48. What is the other number?
  10. 10.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 14. What is the other number?
  11. 11.Find the HCF of 30 and 45.
  12. 12.Find the HCF of 78 and 65.
  13. 13.Find the HCF of 81 and 36.
  14. 14.Find the LCM of 7 and 3.
  15. 15.Find the LCM of 12, 3 and 5.
  16. 16.Find the LCM of 9, 13 and 6.
  17. 17.Find the LCM of 4 and 6.
  18. 18.Find the LCM of 7, 4 and 3.
  19. 19.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  20. 20.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 18. What is the other number?
  21. 21.Find the LCM of 15 and 9.
  22. 22.Find the HCF of 21 and 28.
  23. 23.Find the LCM of 10 and 35.
  24. 24.Find the HCF of 15 and 18.
  25. 25.Find the HCF of 26 and 117.
  26. 26.Find the LCM of 7, 15 and 5.
  27. 27.Find the LCM of 36 and 16.
  28. 28.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  29. 29.Find the HCF of 18 and 10.
  30. 30.Find the HCF of 117 and 91.
  31. 31.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  32. 32.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 63. What is the other number?
  33. 33.Find the HCF of 72 and 81.
  34. 34.Find the LCM of 20 and 15.
  35. 35.Find the LCM of 28 and 8.
  36. 36.Find the HCF of 26 and 39.
  37. 37.Find the LCM of 9 and 6.
  38. 38.Find the LCM of 7, 15 and 6.
  39. 39.Find the HCF of 28 and 21.
  40. 40.Find the HCF of 45 and 81.

Answer key

  1. 225
  2. 28
  3. 24
  4. 18
  5. 75
  6. 198
  7. 4
  8. 78
  9. 18
  10. 16
  11. 15
  12. 13
  13. 9
  14. 21
  15. 60
  16. 234
  17. 12
  18. 84
  19. 12
  20. 30
  21. 45
  22. 7
  23. 70
  24. 3
  25. 13
  26. 105
  27. 144
  28. 12
  29. 2
  30. 13
  31. 10
  32. 54
  33. 9
  34. 60
  35. 56
  36. 13
  37. 18
  38. 210
  39. 7
  40. 9

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