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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 730 · 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 42 and 48.
  2. 2.Find the LCM of 10 and 14.
  3. 3.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 27. What is the other number?
  4. 4.Find the LCM of 4, 2 and 8.
  5. 5.Find the LCM of 2, 4 and 13.
  6. 6.Find the HCF of 105 and 120.
  7. 7.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 30. What is the other number?
  8. 8.Find the HCF of 48 and 60.
  9. 9.Find the LCM of 11, 15 and 5.
  10. 10.Find the LCM of 18 and 30.
  11. 11.Find the LCM of 5, 7 and 10.
  12. 12.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  13. 13.Find the HCF of 65 and 39.
  14. 14.Find the HCF of 8 and 18.
  15. 15.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?
  16. 16.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?
  17. 17.Find the HCF of 49 and 28.
  18. 18.Find the LCM of 15 and 10.
  19. 19.Find the HCF of 25 and 30.
  20. 20.Find the LCM of 6, 4 and 5.
  21. 21.Find the HCF of 32 and 12.
  22. 22.Find the LCM of 20 and 36.
  23. 23.Find the LCM of 13, 8 and 2.
  24. 24.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  25. 25.Find the LCM of 13, 6 and 12.
  26. 26.Find the LCM of 15, 12 and 10.
  27. 27.Find the LCM of 15 and 35.
  28. 28.Find the LCM of 10, 15 and 6.
  29. 29.Find the LCM of 12, 10 and 2.
  30. 30.Find the LCM of 3, 15 and 7.
  31. 31.Find the LCM of 6 and 5.
  32. 32.Find the HCF of 70 and 30.
  33. 33.Find the HCF of 10 and 6.
  34. 34.Find the LCM of 14, 6 and 8.
  35. 35.Find the HCF of 91 and 78.
  36. 36.Find the HCF of 24 and 15.
  37. 37.Find the LCM of 9 and 21.
  38. 38.Find the LCM of 2, 12 and 5.
  39. 39.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  40. 40.Find the LCM of 25 and 20.

Answer key

  1. 336
  2. 70
  3. 15
  4. 8
  5. 52
  6. 15
  7. 48
  8. 12
  9. 165
  10. 90
  11. 70
  12. 16
  13. 13
  14. 2
  15. 8
  16. 12
  17. 7
  18. 30
  19. 5
  20. 60
  21. 4
  22. 180
  23. 104
  24. 21
  25. 156
  26. 60
  27. 105
  28. 30
  29. 60
  30. 105
  31. 30
  32. 10
  33. 2
  34. 168
  35. 13
  36. 3
  37. 63
  38. 60
  39. 36
  40. 100

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