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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 498 · 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 4, 15 and 12.
  2. 2.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 72. What is the other number?
  3. 3.Find the LCM of 40 and 25.
  4. 4.Find the LCM of 4, 2 and 14.
  5. 5.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 36. What is the other number?
  6. 6.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 30. What is the other number?
  7. 7.Find the LCM of 21 and 27.
  8. 8.Find the HCF of 10 and 16.
  9. 9.Find the LCM of 15, 4 and 3.
  10. 10.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 15. What is the other number?
  11. 11.Find the LCM of 30 and 54.
  12. 12.Find the LCM of 18 and 16.
  13. 13.Find the LCM of 12, 9 and 15.
  14. 14.Find the HCF of 126 and 56.
  15. 15.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  16. 16.Find the HCF of 45 and 25.
  17. 17.Find the HCF of 25 and 15.
  18. 18.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 36. What is the other number?
  19. 19.Find the LCM of 8 and 6.
  20. 20.Find the LCM of 2, 6 and 12.
  21. 21.Find the HCF of 56 and 32.
  22. 22.Find the LCM of 27 and 12.
  23. 23.Find the LCM of 5 and 4.
  24. 24.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  25. 25.Find the LCM of 30 and 48.
  26. 26.Find the HCF of 21 and 28.
  27. 27.Find the LCM of 7, 9 and 14.
  28. 28.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  29. 29.Find the HCF of 27 and 12.
  30. 30.Find the LCM of 20 and 12.
  31. 31.Find the HCF of 72 and 60.
  32. 32.Find the HCF of 96 and 36.
  33. 33.Find the LCM of 10, 4 and 6.
  34. 34.Find the LCM of 24 and 28.
  35. 35.Find the HCF of 32 and 24.
  36. 36.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  37. 37.Find the HCF of 60 and 45.
  38. 38.Find the HCF of 60 and 75.
  39. 39.Find the LCM of 10 and 25.
  40. 40.Find the LCM of 15 and 6.

Answer key

  1. 60
  2. 27
  3. 200
  4. 28
  5. 16
  6. 35
  7. 189
  8. 2
  9. 60
  10. 27
  11. 270
  12. 144
  13. 180
  14. 14
  15. 10
  16. 5
  17. 5
  18. 28
  19. 24
  20. 12
  21. 8
  22. 108
  23. 20
  24. 28
  25. 240
  26. 7
  27. 126
  28. 15
  29. 3
  30. 60
  31. 12
  32. 12
  33. 60
  34. 168
  35. 8
  36. 36
  37. 15
  38. 15
  39. 50
  40. 30

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