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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 235 · 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 24 and 18.
  2. 2.Find the LCM of 12 and 9.
  3. 3.Find the LCM of 15 and 12.
  4. 4.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 32. What is the other number?
  5. 5.Find the LCM of 2, 4 and 3.
  6. 6.Find the LCM of 2, 13 and 4.
  7. 7.Find the HCF of 49 and 63.
  8. 8.Find the HCF of 63 and 28.
  9. 9.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 24. What is the other number?
  10. 10.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 16. What is the other number?
  11. 11.Find the HCF of 80 and 90.
  12. 12.Find the LCM of 10, 2 and 14.
  13. 13.Find the LCM of 6 and 8.
  14. 14.Find the HCF of 54 and 30.
  15. 15.Find the LCM of 4, 7 and 8.
  16. 16.Find the HCF of 16 and 18.
  17. 17.Find the LCM of 14, 2 and 13.
  18. 18.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 32. What is the other number?
  19. 19.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 42. What is the other number?
  20. 20.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?
  21. 21.Find the LCM of 7, 15 and 3.
  22. 22.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 54. What is the other number?
  23. 23.Find the LCM of 20 and 24.
  24. 24.Find the HCF of 10 and 18.
  25. 25.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  26. 26.Find the LCM of 11, 3 and 7.
  27. 27.Find the LCM of 2 and 9.
  28. 28.Find the HCF of 56 and 32.
  29. 29.Find the HCF of 6 and 10.
  30. 30.Find the LCM of 3 and 7.
  31. 31.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 25. What is the other number?
  32. 32.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 14. What is the other number?
  33. 33.Find the LCM of 7 and 5.
  34. 34.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 30. What is the other number?
  35. 35.Find the LCM of 5, 9 and 15.
  36. 36.Find the HCF of 25 and 20.
  37. 37.Find the HCF of 135 and 105.
  38. 38.Find the HCF of 78 and 65.
  39. 39.Find the LCM of 11, 4 and 10.
  40. 40.Find the LCM of 18 and 42.

Answer key

  1. 72
  2. 36
  3. 60
  4. 56
  5. 12
  6. 52
  7. 7
  8. 7
  9. 27
  10. 36
  11. 10
  12. 70
  13. 24
  14. 6
  15. 56
  16. 2
  17. 182
  18. 28
  19. 24
  20. 6
  21. 105
  22. 48
  23. 120
  24. 2
  25. 21
  26. 231
  27. 18
  28. 8
  29. 2
  30. 21
  31. 40
  32. 49
  33. 35
  34. 42
  35. 45
  36. 5
  37. 15
  38. 13
  39. 220
  40. 126

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