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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 352 · 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, 6 and 5.
  2. 2.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 64. What is the other number?
  3. 3.Find the HCF of 16 and 12.
  4. 4.Find the LCM of 27 and 15.
  5. 5.Find the HCF of 42 and 56.
  6. 6.Find the LCM of 5, 12 and 3.
  7. 7.Find the LCM of 6, 2 and 12.
  8. 8.Find the LCM of 9, 2 and 10.
  9. 9.Find the LCM of 45 and 40.
  10. 10.Find the LCM of 4, 12 and 10.
  11. 11.Find the LCM of 24 and 18.
  12. 12.Find the LCM of 4, 11 and 6.
  13. 13.Find the LCM of 20 and 16.
  14. 14.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 72. What is the other number?
  15. 15.Find the LCM of 20 and 24.
  16. 16.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 28. What is the other number?
  17. 17.Find the HCF of 22 and 33.
  18. 18.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 20. What is the other number?
  19. 19.Find the HCF of 18 and 8.
  20. 20.Find the LCM of 24 and 20.
  21. 21.Find the LCM of 12 and 21.
  22. 22.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 30. What is the other number?
  23. 23.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 14. What is the other number?
  24. 24.Find the HCF of 32 and 28.
  25. 25.Find the LCM of 10 and 45.
  26. 26.Find the HCF of 15 and 9.
  27. 27.Find the LCM of 14, 6 and 9.
  28. 28.Find the LCM of 10, 12 and 2.
  29. 29.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 15. What is the other number?
  30. 30.Find the LCM of 15, 3 and 14.
  31. 31.Find the HCF of 30 and 48.
  32. 32.Find the LCM of 3, 13 and 2.
  33. 33.Find the LCM of 5, 11 and 2.
  34. 34.Find the HCF of 36 and 48.
  35. 35.Find the HCF of 40 and 15.
  36. 36.Find the HCF of 72 and 45.
  37. 37.Find the LCM of 15, 10 and 8.
  38. 38.Find the LCM of 8, 3 and 10.
  39. 39.Find the LCM of 9 and 4.
  40. 40.Find the LCM of 10, 3 and 5.

Answer key

  1. 30
  2. 72
  3. 4
  4. 135
  5. 14
  6. 60
  7. 12
  8. 90
  9. 360
  10. 60
  11. 72
  12. 132
  13. 80
  14. 27
  15. 120
  16. 63
  17. 11
  18. 25
  19. 2
  20. 120
  21. 84
  22. 54
  23. 35
  24. 4
  25. 90
  26. 3
  27. 126
  28. 60
  29. 20
  30. 210
  31. 6
  32. 78
  33. 110
  34. 12
  35. 5
  36. 9
  37. 120
  38. 120
  39. 36
  40. 30

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