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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 285 · 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 HCF of 40 and 48.
  2. 2.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  3. 3.Find the HCF of 40 and 56.
  4. 4.Find the LCM of 7, 10 and 3.
  5. 5.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 35. What is the other number?
  6. 6.Find the HCF of 35 and 42.
  7. 7.Find the LCM of 36 and 42.
  8. 8.Find the LCM of 15 and 10.
  9. 9.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 16. What is the other number?
  10. 10.Find the HCF of 48 and 54.
  11. 11.Find the HCF of 91 and 78.
  12. 12.Find the LCM of 48 and 42.
  13. 13.Find the LCM of 36 and 20.
  14. 14.Find the LCM of 12, 2 and 10.
  15. 15.Find the HCF of 77 and 66.
  16. 16.Find the LCM of 3, 2 and 6.
  17. 17.Find the LCM of 5, 12 and 15.
  18. 18.Find the LCM of 5 and 3.
  19. 19.Find the LCM of 3 and 5.
  20. 20.Find the LCM of 2, 14 and 9.
  21. 21.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 32. What is the other number?
  22. 22.Find the LCM of 14 and 16.
  23. 23.Find the LCM of 6 and 8.
  24. 24.Find the LCM of 9, 2 and 14.
  25. 25.Find the LCM of 2, 12 and 4.
  26. 26.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  27. 27.Find the HCF of 36 and 60.
  28. 28.Find the HCF of 75 and 135.
  29. 29.Find the LCM of 30 and 18.
  30. 30.Find the LCM of 27 and 12.
  31. 31.Find the LCM of 3, 6 and 4.
  32. 32.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 81. What is the other number?
  33. 33.Find the LCM of 48 and 30.
  34. 34.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  35. 35.Find the LCM of 42 and 18.
  36. 36.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  37. 37.Find the LCM of 4 and 10.
  38. 38.Find the LCM of 10 and 35.
  39. 39.Find the LCM of 20 and 35.
  40. 40.Find the LCM of 5, 2 and 4.

Answer key

  1. 8
  2. 81
  3. 8
  4. 210
  5. 15
  6. 7
  7. 252
  8. 30
  9. 18
  10. 6
  11. 13
  12. 336
  13. 180
  14. 60
  15. 11
  16. 6
  17. 60
  18. 15
  19. 15
  20. 126
  21. 40
  22. 112
  23. 24
  24. 126
  25. 12
  26. 18
  27. 12
  28. 15
  29. 90
  30. 108
  31. 12
  32. 72
  33. 240
  34. 15
  35. 126
  36. 18
  37. 20
  38. 70
  39. 140
  40. 20

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