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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 688 · 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 6, 4 and 2.
  2. 2.Find the LCM of 20 and 16.
  3. 3.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  4. 4.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 24. What is the other number?
  5. 5.Find the HCF of 15 and 20.
  6. 6.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 18. What is the other number?
  7. 7.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  8. 8.Find the LCM of 4 and 5.
  9. 9.Find the LCM of 7, 8 and 4.
  10. 10.Find the LCM of 2, 9 and 3.
  11. 11.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 32. What is the other number?
  12. 12.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 24. What is the other number?
  13. 13.Find the HCF of 27 and 63.
  14. 14.Find the LCM of 30 and 25.
  15. 15.Find the HCF of 18 and 4.
  16. 16.Find the LCM of 30 and 54.
  17. 17.Find the HCF of 65 and 39.
  18. 18.Find the LCM of 40 and 15.
  19. 19.Find the LCM of 48 and 42.
  20. 20.Find the LCM of 48 and 54.
  21. 21.Find the LCM of 16 and 18.
  22. 22.Find the LCM of 9, 12 and 2.
  23. 23.Find the LCM of 32 and 20.
  24. 24.Find the LCM of 8, 14 and 3.
  25. 25.Find the LCM of 21 and 6.
  26. 26.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  27. 27.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  28. 28.Find the LCM of 3, 5 and 9.
  29. 29.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  30. 30.Find the LCM of 3, 8 and 15.
  31. 31.Find the LCM of 4, 10 and 3.
  32. 32.Find the HCF of 42 and 56.
  33. 33.Find the LCM of 2, 8 and 6.
  34. 34.Find the LCM of 42 and 30.
  35. 35.Find the LCM of 12, 4 and 7.
  36. 36.Find the LCM of 8, 12 and 2.
  37. 37.Find the LCM of 12, 2 and 3.
  38. 38.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 32. What is the other number?
  39. 39.Find the LCM of 12, 5 and 8.
  40. 40.Find the LCM of 13, 3 and 2.

Answer key

  1. 12
  2. 80
  3. 18
  4. 54
  5. 5
  6. 45
  7. 6
  8. 20
  9. 56
  10. 18
  11. 40
  12. 42
  13. 9
  14. 150
  15. 2
  16. 270
  17. 13
  18. 120
  19. 336
  20. 432
  21. 144
  22. 36
  23. 160
  24. 168
  25. 42
  26. 6
  27. 12
  28. 45
  29. 18
  30. 120
  31. 60
  32. 14
  33. 24
  34. 210
  35. 84
  36. 24
  37. 12
  38. 56
  39. 120
  40. 78

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