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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 427 · 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 9 and their LCM is 324. One of the numbers is 36. What is the other number?
  2. 2.Find the LCM of 2, 6 and 5.
  3. 3.Find the LCM of 35 and 30.
  4. 4.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  5. 5.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  6. 6.Find the HCF of 10 and 25.
  7. 7.Find the HCF of 6 and 4.
  8. 8.Find the LCM of 4, 15 and 6.
  9. 9.Find the HCF of 30 and 20.
  10. 10.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 56. What is the other number?
  11. 11.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  12. 12.Find the LCM of 24 and 20.
  13. 13.Find the LCM of 42 and 36.
  14. 14.Find the HCF of 24 and 40.
  15. 15.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?
  16. 16.Find the LCM of 11, 9 and 6.
  17. 17.Find the HCF of 16 and 72.
  18. 18.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 24. What is the other number?
  19. 19.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  20. 20.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  21. 21.Find the HCF of 18 and 12.
  22. 22.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?
  23. 23.Find the HCF of 88 and 33.
  24. 24.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 36. What is the other number?
  25. 25.Find the HCF of 9 and 15.
  26. 26.Find the LCM of 10, 14 and 4.
  27. 27.Find the HCF of 32 and 36.
  28. 28.Find the HCF of 9 and 24.
  29. 29.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 21. What is the other number?
  30. 30.Find the LCM of 36 and 8.
  31. 31.Find the HCF of 8 and 18.
  32. 32.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 28. What is the other number?
  33. 33.Find the LCM of 2, 14 and 10.
  34. 34.Find the LCM of 7, 4 and 8.
  35. 35.Find the LCM of 3 and 5.
  36. 36.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 24. What is the other number?
  37. 37.Find the LCM of 40 and 15.
  38. 38.Find the HCF of 16 and 20.
  39. 39.Find the LCM of 11, 4 and 12.
  40. 40.Find the LCM of 2, 6 and 7.

Answer key

  1. 81
  2. 30
  3. 210
  4. 27
  5. 9
  6. 5
  7. 2
  8. 60
  9. 10
  10. 40
  11. 18
  12. 120
  13. 252
  14. 8
  15. 14
  16. 198
  17. 8
  18. 40
  19. 6
  20. 15
  21. 6
  22. 18
  23. 11
  24. 32
  25. 3
  26. 140
  27. 4
  28. 3
  29. 27
  30. 72
  31. 2
  32. 24
  33. 70
  34. 56
  35. 15
  36. 20
  37. 120
  38. 4
  39. 132
  40. 42

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