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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 28 · 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 3, 8 and 14.
  2. 2.Find the LCM of 13, 2 and 3.
  3. 3.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 28. What is the other number?
  4. 4.Find the HCF of 36 and 24.
  5. 5.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 45. What is the other number?
  6. 6.Find the HCF of 12 and 54.
  7. 7.Find the LCM of 9, 7 and 14.
  8. 8.Find the LCM of 25 and 10.
  9. 9.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 40. What is the other number?
  10. 10.Find the LCM of 5, 10 and 12.
  11. 11.Find the HCF of 24 and 54.
  12. 12.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 8. What is the other number?
  13. 13.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  14. 14.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 21. What is the other number?
  15. 15.Find the LCM of 3, 4 and 10.
  16. 16.Find the HCF of 12 and 18.
  17. 17.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 21. What is the other number?
  18. 18.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 12. What is the other number?
  19. 19.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 12. What is the other number?
  20. 20.Find the HCF of 21 and 15.
  21. 21.Find the LCM of 8 and 9.
  22. 22.Find the HCF of 30 and 24.
  23. 23.Find the HCF of 22 and 55.
  24. 24.Find the LCM of 14 and 10.
  25. 25.Find the LCM of 15 and 35.
  26. 26.Find the LCM of 16 and 36.
  27. 27.Find the LCM of 6, 9 and 3.
  28. 28.Find the LCM of 9, 4 and 10.
  29. 29.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  30. 30.Find the LCM of 9, 5 and 4.
  31. 31.Find the HCF of 20 and 90.
  32. 32.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  33. 33.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 72. What is the other number?
  34. 34.Find the HCF of 9 and 6.
  35. 35.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  36. 36.Find the LCM of 25 and 35.
  37. 37.Find the LCM of 15, 6 and 12.
  38. 38.Find the HCF of 24 and 64.
  39. 39.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  40. 40.Find the HCF of 36 and 16.

Answer key

  1. 168
  2. 78
  3. 16
  4. 12
  5. 72
  6. 6
  7. 126
  8. 50
  9. 15
  10. 60
  11. 6
  12. 36
  13. 81
  14. 27
  15. 60
  16. 6
  17. 49
  18. 30
  19. 42
  20. 3
  21. 72
  22. 6
  23. 11
  24. 70
  25. 105
  26. 144
  27. 18
  28. 180
  29. 14
  30. 180
  31. 10
  32. 15
  33. 56
  34. 3
  35. 28
  36. 175
  37. 60
  38. 8
  39. 6
  40. 4

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