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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 941 · 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 5 and their LCM is 175. One of the numbers is 25. What is the other number?
  2. 2.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 63. What is the other number?
  3. 3.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 30. What is the other number?
  4. 4.Find the LCM of 8 and 3.
  5. 5.Find the LCM of 4, 12 and 11.
  6. 6.Find the HCF of 45 and 36.
  7. 7.Find the LCM of 11, 6 and 3.
  8. 8.Find the LCM of 5, 6 and 15.
  9. 9.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
  10. 10.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  11. 11.Find the HCF of 45 and 25.
  12. 12.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 45. What is the other number?
  13. 13.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 4. What is the other number?
  14. 14.Find the HCF of 40 and 25.
  15. 15.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  16. 16.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 27. What is the other number?
  17. 17.Find the HCF of 12 and 28.
  18. 18.Find the LCM of 8 and 20.
  19. 19.Find the LCM of 3, 5 and 2.
  20. 20.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  21. 21.Find the LCM of 4 and 9.
  22. 22.Find the HCF of 24 and 9.
  23. 23.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 40. What is the other number?
  24. 24.Find the HCF of 18 and 48.
  25. 25.Find the LCM of 10, 2 and 15.
  26. 26.Find the HCF of 25 and 45.
  27. 27.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 32. What is the other number?
  28. 28.Find the LCM of 6 and 7.
  29. 29.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 42. What is the other number?
  30. 30.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 24. What is the other number?
  31. 31.Find the LCM of 11, 9 and 2.
  32. 32.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 56. What is the other number?
  33. 33.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?
  34. 34.Find the LCM of 9 and 2.
  35. 35.Find the LCM of 4, 10 and 11.
  36. 36.Find the LCM of 18 and 42.
  37. 37.Find the LCM of 20 and 25.
  38. 38.Find the HCF of 42 and 54.
  39. 39.Find the HCF of 14 and 4.
  40. 40.Find the LCM of 32 and 12.

Answer key

  1. 35
  2. 45
  3. 25
  4. 24
  5. 132
  6. 9
  7. 66
  8. 30
  9. 15
  10. 9
  11. 5
  12. 35
  13. 6
  14. 5
  15. 14
  16. 15
  17. 4
  18. 40
  19. 30
  20. 15
  21. 36
  22. 3
  23. 56
  24. 6
  25. 30
  26. 5
  27. 36
  28. 42
  29. 36
  30. 9
  31. 198
  32. 35
  33. 18
  34. 18
  35. 220
  36. 126
  37. 100
  38. 6
  39. 2
  40. 96

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