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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 171 · 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 10, 5 and 3.
  2. 2.Find the LCM of 8 and 5.
  3. 3.Find the LCM of 13, 4 and 2.
  4. 4.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  5. 5.Find the LCM of 7, 9 and 14.
  6. 6.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  7. 7.Find the LCM of 16 and 10.
  8. 8.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?
  9. 9.Find the LCM of 6 and 10.
  10. 10.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  11. 11.Find the HCF of 27 and 36.
  12. 12.Find the LCM of 12, 2 and 7.
  13. 13.Find the HCF of 20 and 8.
  14. 14.Find the LCM of 36 and 16.
  15. 15.Find the HCF of 36 and 96.
  16. 16.Find the LCM of 13, 3 and 5.
  17. 17.Find the HCF of 20 and 30.
  18. 18.Find the HCF of 4 and 6.
  19. 19.Find the LCM of 2, 12 and 4.
  20. 20.Find the LCM of 10, 5 and 6.
  21. 21.Find the HCF of 45 and 36.
  22. 22.Find the LCM of 4, 3 and 9.
  23. 23.Find the LCM of 10, 2 and 15.
  24. 24.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 12. What is the other number?
  25. 25.Find the LCM of 12, 2 and 13.
  26. 26.Find the HCF of 28 and 32.
  27. 27.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  28. 28.Find the HCF of 12 and 16.
  29. 29.Find the HCF of 4 and 10.
  30. 30.Find the LCM of 5, 15 and 6.
  31. 31.Find the HCF of 60 and 36.
  32. 32.Find the HCF of 21 and 15.
  33. 33.Find the LCM of 4 and 6.
  34. 34.Find the LCM of 27 and 12.
  35. 35.Find the LCM of 13, 10 and 5.
  36. 36.Find the HCF of 39 and 65.
  37. 37.Find the HCF of 36 and 32.
  38. 38.Find the LCM of 5, 14 and 7.
  39. 39.Find the LCM of 5, 10 and 3.
  40. 40.Find the LCM of 12 and 28.

Answer key

  1. 30
  2. 40
  3. 52
  4. 18
  5. 126
  6. 21
  7. 80
  8. 40
  9. 30
  10. 14
  11. 9
  12. 84
  13. 4
  14. 144
  15. 12
  16. 195
  17. 10
  18. 2
  19. 12
  20. 30
  21. 9
  22. 36
  23. 30
  24. 16
  25. 156
  26. 4
  27. 32
  28. 4
  29. 2
  30. 30
  31. 12
  32. 3
  33. 12
  34. 108
  35. 130
  36. 13
  37. 4
  38. 70
  39. 30
  40. 84

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