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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 704 · 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.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  2. 2.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  3. 3.Find the LCM of 13, 4 and 3.
  4. 4.Find the LCM of 8, 15 and 2.
  5. 5.Find the LCM of 8, 2 and 13.
  6. 6.Find the LCM of 15 and 6.
  7. 7.Find the LCM of 12 and 9.
  8. 8.Find the LCM of 6 and 4.
  9. 9.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  10. 10.Find the LCM of 2, 8 and 6.
  11. 11.Find the LCM of 45 and 20.
  12. 12.Find the LCM of 8 and 6.
  13. 13.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 35. What is the other number?
  14. 14.Find the LCM of 36 and 16.
  15. 15.Find the HCF of 25 and 45.
  16. 16.Find the LCM of 6, 15 and 8.
  17. 17.Find the LCM of 9 and 6.
  18. 18.Find the LCM of 5 and 3.
  19. 19.Find the LCM of 32 and 12.
  20. 20.Find the LCM of 30 and 54.
  21. 21.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 45. What is the other number?
  22. 22.Find the HCF of 70 and 84.
  23. 23.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  24. 24.Find the HCF of 45 and 25.
  25. 25.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  26. 26.Find the LCM of 6 and 8.
  27. 27.Find the LCM of 3, 14 and 6.
  28. 28.Find the HCF of 81 and 18.
  29. 29.Find the HCF of 20 and 28.
  30. 30.Find the LCM of 14 and 6.
  31. 31.Find the LCM of 9 and 7.
  32. 32.Find the HCF of 70 and 28.
  33. 33.Find the LCM of 54 and 24.
  34. 34.Find the LCM of 40 and 45.
  35. 35.Find the HCF of 14 and 63.
  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.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  38. 38.Find the LCM of 15, 2 and 5.
  39. 39.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  40. 40.Find the HCF of 48 and 108.

Answer key

  1. 32
  2. 6
  3. 156
  4. 120
  5. 104
  6. 30
  7. 36
  8. 12
  9. 63
  10. 24
  11. 180
  12. 24
  13. 63
  14. 144
  15. 5
  16. 120
  17. 18
  18. 15
  19. 96
  20. 270
  21. 40
  22. 14
  23. 4
  24. 5
  25. 9
  26. 24
  27. 42
  28. 9
  29. 4
  30. 42
  31. 63
  32. 14
  33. 216
  34. 360
  35. 7
  36. 18
  37. 24
  38. 30
  39. 12
  40. 12

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