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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 126 · 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 28 and 16.
  2. 2.Find the LCM of 11, 3 and 12.
  3. 3.Find the HCF of 108 and 24.
  4. 4.Find the LCM of 8 and 9.
  5. 5.Find the HCF of 30 and 25.
  6. 6.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 24. What is the other number?
  7. 7.Find the HCF of 120 and 135.
  8. 8.Find the HCF of 65 and 78.
  9. 9.Find the LCM of 4 and 14.
  10. 10.Find the LCM of 3 and 5.
  11. 11.Find the LCM of 4 and 9.
  12. 12.Find the HCF of 64 and 56.
  13. 13.Find the LCM of 3, 15 and 12.
  14. 14.Find the HCF of 56 and 72.
  15. 15.Find the LCM of 8, 11 and 4.
  16. 16.Find the HCF of 108 and 84.
  17. 17.Find the LCM of 5, 3 and 13.
  18. 18.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 20. What is the other number?
  19. 19.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 18. What is the other number?
  20. 20.Find the HCF of 15 and 10.
  21. 21.Find the HCF of 6 and 14.
  22. 22.Find the HCF of 12 and 32.
  23. 23.Find the HCF of 36 and 30.
  24. 24.Find the LCM of 42 and 30.
  25. 25.Find the HCF of 25 and 40.
  26. 26.Find the LCM of 7 and 8.
  27. 27.Find the LCM of 14, 6 and 8.
  28. 28.Find the HCF of 14 and 35.
  29. 29.Find the LCM of 6, 5 and 8.
  30. 30.Find the LCM of 18 and 42.
  31. 31.Find the HCF of 25 and 35.
  32. 32.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 28. What is the other number?
  33. 33.Find the LCM of 10 and 45.
  34. 34.Find the LCM of 36 and 20.
  35. 35.Find the LCM of 21 and 24.
  36. 36.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 24. What is the other number?
  37. 37.Find the LCM of 9, 5 and 3.
  38. 38.Find the HCF of 15 and 20.
  39. 39.Find the HCF of 33 and 88.
  40. 40.Find the LCM of 16 and 14.

Answer key

  1. 112
  2. 132
  3. 12
  4. 72
  5. 5
  6. 21
  7. 15
  8. 13
  9. 28
  10. 15
  11. 36
  12. 8
  13. 60
  14. 8
  15. 88
  16. 12
  17. 195
  18. 32
  19. 42
  20. 5
  21. 2
  22. 4
  23. 6
  24. 210
  25. 5
  26. 56
  27. 168
  28. 7
  29. 120
  30. 126
  31. 5
  32. 49
  33. 90
  34. 180
  35. 168
  36. 56
  37. 45
  38. 5
  39. 11
  40. 112

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