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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 633 · 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 15, 5 and 10.
  2. 2.Find the LCM of 12, 6 and 14.
  3. 3.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 25. What is the other number?
  4. 4.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 32. What is the other number?
  5. 5.Find the LCM of 6, 5 and 4.
  6. 6.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 16. What is the other number?
  7. 7.Find the LCM of 15, 10 and 5.
  8. 8.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 42. What is the other number?
  9. 9.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 81. What is the other number?
  10. 10.Find the LCM of 8, 9 and 12.
  11. 11.Find the LCM of 15 and 6.
  12. 12.Find the LCM of 3 and 2.
  13. 13.Find the HCF of 30 and 75.
  14. 14.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 15. What is the other number?
  15. 15.Find the LCM of 2, 8 and 3.
  16. 16.Find the LCM of 12, 9 and 10.
  17. 17.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 20. What is the other number?
  18. 18.Find the LCM of 3 and 5.
  19. 19.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  20. 20.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  21. 21.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  22. 22.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 45. What is the other number?
  23. 23.Find the LCM of 6, 9 and 5.
  24. 24.Find the HCF of 28 and 20.
  25. 25.Find the LCM of 3, 12 and 4.
  26. 26.Find the LCM of 15, 14 and 2.
  27. 27.Find the LCM of 16 and 20.
  28. 28.Find the LCM of 21 and 15.
  29. 29.Find the HCF of 21 and 24.
  30. 30.Find the LCM of 35 and 20.
  31. 31.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 30. What is the other number?
  32. 32.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 15. What is the other number?
  33. 33.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 24. What is the other number?
  34. 34.Find the HCF of 33 and 22.
  35. 35.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 10. What is the other number?
  36. 36.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?
  37. 37.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 21. What is the other number?
  38. 38.Find the LCM of 21 and 6.
  39. 39.Find the HCF of 18 and 14.
  40. 40.Find the LCM of 10, 5 and 12.

Answer key

  1. 30
  2. 84
  3. 40
  4. 40
  5. 60
  6. 18
  7. 30
  8. 36
  9. 18
  10. 72
  11. 30
  12. 6
  13. 15
  14. 27
  15. 24
  16. 180
  17. 16
  18. 15
  19. 24
  20. 40
  21. 48
  22. 72
  23. 90
  24. 4
  25. 12
  26. 210
  27. 80
  28. 105
  29. 3
  30. 140
  31. 35
  32. 12
  33. 21
  34. 11
  35. 8
  36. 16
  37. 6
  38. 42
  39. 2
  40. 60

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