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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 419 · 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 9 and 15.
  2. 2.Find the LCM of 6 and 4.
  3. 3.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 54. What is the other number?
  4. 4.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?
  5. 5.Find the LCM of 10, 5 and 4.
  6. 6.Find the LCM of 14, 5 and 15.
  7. 7.Find the LCM of 5, 2 and 4.
  8. 8.Find the LCM of 12, 6 and 13.
  9. 9.Find the LCM of 24 and 30.
  10. 10.Find the LCM of 6 and 16.
  11. 11.Find the HCF of 32 and 72.
  12. 12.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 56. What is the other number?
  13. 13.Find the HCF of 77 and 22.
  14. 14.Find the LCM of 2, 14 and 6.
  15. 15.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 81. What is the other number?
  16. 16.Find the LCM of 14 and 18.
  17. 17.Find the LCM of 16 and 10.
  18. 18.Find the LCM of 15, 5 and 14.
  19. 19.Find the LCM of 25 and 10.
  20. 20.Find the LCM of 8 and 20.
  21. 21.Find the LCM of 8 and 10.
  22. 22.Find the HCF of 16 and 24.
  23. 23.Find the LCM of 10 and 16.
  24. 24.Find the LCM of 8, 3 and 9.
  25. 25.Find the LCM of 28 and 8.
  26. 26.Find the LCM of 14, 2 and 13.
  27. 27.Find the HCF of 6 and 16.
  28. 28.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  29. 29.Find the LCM of 12, 3 and 5.
  30. 30.Find the HCF of 10 and 6.
  31. 31.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 30. What is the other number?
  32. 32.Find the LCM of 3, 14 and 8.
  33. 33.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  34. 34.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  35. 35.Find the LCM of 11, 2 and 6.
  36. 36.Find the HCF of 6 and 15.
  37. 37.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 20. What is the other number?
  38. 38.Find the HCF of 10 and 45.
  39. 39.Find the LCM of 5 and 8.
  40. 40.Find the HCF of 8 and 20.

Answer key

  1. 45
  2. 12
  3. 24
  4. 72
  5. 20
  6. 210
  7. 20
  8. 156
  9. 120
  10. 48
  11. 8
  12. 24
  13. 11
  14. 42
  15. 36
  16. 126
  17. 80
  18. 210
  19. 50
  20. 40
  21. 40
  22. 8
  23. 80
  24. 72
  25. 56
  26. 182
  27. 2
  28. 9
  29. 60
  30. 2
  31. 25
  32. 168
  33. 10
  34. 15
  35. 66
  36. 3
  37. 32
  38. 5
  39. 40
  40. 4

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