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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 326 · 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 2, 10 and 13.
  2. 2.Find the HCF of 64 and 24.
  3. 3.Find the LCM of 4, 8 and 14.
  4. 4.Find the LCM of 6 and 5.
  5. 5.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 36. What is the other number?
  6. 6.Find the LCM of 6, 13 and 4.
  7. 7.Find the LCM of 15, 5 and 12.
  8. 8.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 15. What is the other number?
  9. 9.Find the HCF of 39 and 104.
  10. 10.Find the HCF of 16 and 10.
  11. 11.Find the HCF of 14 and 10.
  12. 12.Find the LCM of 3, 14 and 8.
  13. 13.Find the LCM of 42 and 18.
  14. 14.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  15. 15.Find the LCM of 12, 10 and 8.
  16. 16.Find the LCM of 7, 2 and 8.
  17. 17.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 42. What is the other number?
  18. 18.Find the HCF of 30 and 20.
  19. 19.Find the HCF of 75 and 30.
  20. 20.Find the LCM of 5, 10 and 14.
  21. 21.Find the LCM of 8 and 6.
  22. 22.Find the LCM of 28 and 12.
  23. 23.Find the LCM of 6 and 9.
  24. 24.Find the LCM of 4 and 6.
  25. 25.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  26. 26.Find the LCM of 3, 15 and 13.
  27. 27.Find the LCM of 54 and 24.
  28. 28.Find the LCM of 3 and 5.
  29. 29.Find the HCF of 108 and 48.
  30. 30.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 8. What is the other number?
  31. 31.Find the HCF of 42 and 48.
  32. 32.Find the LCM of 35 and 45.
  33. 33.Find the LCM of 4, 2 and 10.
  34. 34.Find the HCF of 6 and 10.
  35. 35.Find the LCM of 5 and 4.
  36. 36.Find the LCM of 5, 4 and 3.
  37. 37.Find the LCM of 5, 4 and 7.
  38. 38.Find the LCM of 9, 3 and 13.
  39. 39.Find the LCM of 24 and 21.
  40. 40.Find the HCF of 10 and 15.

Answer key

  1. 130
  2. 8
  3. 56
  4. 30
  5. 32
  6. 156
  7. 60
  8. 25
  9. 13
  10. 2
  11. 2
  12. 168
  13. 126
  14. 24
  15. 120
  16. 56
  17. 12
  18. 10
  19. 15
  20. 70
  21. 24
  22. 84
  23. 18
  24. 12
  25. 8
  26. 195
  27. 216
  28. 15
  29. 12
  30. 36
  31. 6
  32. 315
  33. 20
  34. 2
  35. 20
  36. 60
  37. 140
  38. 117
  39. 168
  40. 5

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