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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 328 · 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 15, 8 and 10.
  2. 2.Find the LCM of 5, 2 and 10.
  3. 3.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 15. What is the other number?
  4. 4.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 72. What is the other number?
  5. 5.Find the HCF of 6 and 10.
  6. 6.Find the LCM of 30 and 36.
  7. 7.Find the LCM of 7, 4 and 6.
  8. 8.Find the LCM of 42 and 36.
  9. 9.Find the LCM of 4, 7 and 10.
  10. 10.Find the LCM of 9, 3 and 12.
  11. 11.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 18. What is the other number?
  12. 12.Find the HCF of 91 and 26.
  13. 13.Find the LCM of 18 and 12.
  14. 14.Find the HCF of 10 and 14.
  15. 15.Find the HCF of 60 and 135.
  16. 16.Find the LCM of 5, 4 and 8.
  17. 17.Find the LCM of 14 and 8.
  18. 18.Find the HCF of 15 and 9.
  19. 19.Find the HCF of 50 and 30.
  20. 20.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  21. 21.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 28. What is the other number?
  22. 22.Find the LCM of 10, 7 and 5.
  23. 23.Find the LCM of 18 and 4.
  24. 24.Find the LCM of 40 and 25.
  25. 25.Find the LCM of 2, 4 and 11.
  26. 26.Find the LCM of 20 and 8.
  27. 27.Find the LCM of 8 and 5.
  28. 28.Find the HCF of 18 and 30.
  29. 29.Find the HCF of 117 and 26.
  30. 30.Find the LCM of 7, 15 and 6.
  31. 31.Find the LCM of 3 and 4.
  32. 32.Find the LCM of 18 and 21.
  33. 33.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 63. What is the other number?
  34. 34.Find the LCM of 12 and 14.
  35. 35.Find the LCM of 5, 4 and 2.
  36. 36.Find the HCF of 60 and 75.
  37. 37.Find the HCF of 6 and 27.
  38. 38.Find the HCF of 126 and 98.
  39. 39.Find the HCF of 36 and 32.
  40. 40.Find the LCM of 32 and 28.

Answer key

  1. 120
  2. 10
  3. 20
  4. 81
  5. 2
  6. 180
  7. 84
  8. 252
  9. 140
  10. 36
  11. 4
  12. 13
  13. 36
  14. 2
  15. 15
  16. 40
  17. 56
  18. 3
  19. 10
  20. 18
  21. 20
  22. 70
  23. 36
  24. 200
  25. 44
  26. 40
  27. 40
  28. 6
  29. 13
  30. 210
  31. 12
  32. 126
  33. 14
  34. 84
  35. 20
  36. 15
  37. 3
  38. 14
  39. 4
  40. 224

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