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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 406 · 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 3 and their LCM is 135. One of the numbers is 15. What is the other number?
  2. 2.Find the HCF of 50 and 40.
  3. 3.Find the LCM of 40 and 15.
  4. 4.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 30. What is the other number?
  5. 5.Find the HCF of 27 and 24.
  6. 6.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 30. What is the other number?
  7. 7.Find the LCM of 15, 14 and 10.
  8. 8.Find the LCM of 4, 8 and 3.
  9. 9.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 36. What is the other number?
  10. 10.Find the HCF of 75 and 135.
  11. 11.Find the LCM of 7 and 2.
  12. 12.Find the LCM of 2, 9 and 12.
  13. 13.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  14. 14.Find the HCF of 28 and 20.
  15. 15.Find the LCM of 25 and 15.
  16. 16.Find the LCM of 2 and 9.
  17. 17.Find the LCM of 6, 4 and 8.
  18. 18.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 12. What is the other number?
  19. 19.Find the LCM of 42 and 12.
  20. 20.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 18. What is the other number?
  21. 21.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 20. What is the other number?
  22. 22.Find the LCM of 9, 2 and 12.
  23. 23.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  24. 24.Find the HCF of 126 and 98.
  25. 25.Find the LCM of 11, 3 and 5.
  26. 26.Find the LCM of 4, 8 and 5.
  27. 27.Find the HCF of 30 and 18.
  28. 28.Find the LCM of 2 and 7.
  29. 29.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 54. What is the other number?
  30. 30.Find the LCM of 5, 3 and 4.
  31. 31.Find the LCM of 8 and 6.
  32. 32.Find the LCM of 2, 14 and 11.
  33. 33.Find the HCF of 28 and 35.
  34. 34.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  35. 35.Find the LCM of 7 and 3.
  36. 36.Find the LCM of 21 and 27.
  37. 37.Find the LCM of 27 and 12.
  38. 38.Find the LCM of 25 and 10.
  39. 39.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 27. What is the other number?
  40. 40.Find the LCM of 5, 7 and 2.

Answer key

  1. 27
  2. 10
  3. 120
  4. 12
  5. 3
  6. 25
  7. 210
  8. 24
  9. 32
  10. 15
  11. 14
  12. 36
  13. 24
  14. 4
  15. 75
  16. 18
  17. 24
  18. 16
  19. 84
  20. 48
  21. 35
  22. 36
  23. 18
  24. 14
  25. 165
  26. 40
  27. 6
  28. 14
  29. 24
  30. 60
  31. 24
  32. 154
  33. 7
  34. 6
  35. 21
  36. 189
  37. 108
  38. 50
  39. 45
  40. 70

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