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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 295 · 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 13, 9 and 6.
  2. 2.Find the HCF of 135 and 75.
  3. 3.Find the HCF of 56 and 70.
  4. 4.Find the LCM of 9, 6 and 8.
  5. 5.Find the LCM of 2, 12 and 15.
  6. 6.Find the LCM of 3 and 5.
  7. 7.Find the LCM of 11, 7 and 3.
  8. 8.Find the LCM of 6 and 16.
  9. 9.Find the LCM of 5, 14 and 3.
  10. 10.Find the LCM of 48 and 18.
  11. 11.Find the HCF of 14 and 18.
  12. 12.Find the LCM of 24 and 54.
  13. 13.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 24. What is the other number?
  14. 14.Find the LCM of 27 and 6.
  15. 15.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 18. What is the other number?
  16. 16.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  17. 17.Find the LCM of 6 and 8.
  18. 18.Find the LCM of 3 and 8.
  19. 19.Find the LCM of 15 and 9.
  20. 20.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  21. 21.Find the LCM of 30 and 54.
  22. 22.Find the HCF of 30 and 45.
  23. 23.Find the LCM of 6, 2 and 12.
  24. 24.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 30. What is the other number?
  25. 25.Find the LCM of 7, 12 and 2.
  26. 26.Find the HCF of 16 and 14.
  27. 27.Find the LCM of 10, 14 and 4.
  28. 28.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?
  29. 29.Find the LCM of 15, 2 and 4.
  30. 30.Find the HCF of 60 and 96.
  31. 31.Find the LCM of 4 and 10.
  32. 32.Find the HCF of 63 and 27.
  33. 33.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?
  34. 34.Find the HCF of 28 and 32.
  35. 35.Find the LCM of 7, 13 and 2.
  36. 36.Find the HCF of 88 and 33.
  37. 37.Find the LCM of 7, 2 and 13.
  38. 38.Find the HCF of 16 and 28.
  39. 39.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  40. 40.Find the HCF of 45 and 72.

Answer key

  1. 234
  2. 15
  3. 14
  4. 72
  5. 60
  6. 15
  7. 231
  8. 48
  9. 210
  10. 144
  11. 2
  12. 216
  13. 54
  14. 54
  15. 21
  16. 21
  17. 24
  18. 24
  19. 45
  20. 10
  21. 270
  22. 15
  23. 12
  24. 25
  25. 84
  26. 2
  27. 140
  28. 8
  29. 60
  30. 12
  31. 20
  32. 9
  33. 21
  34. 4
  35. 182
  36. 11
  37. 182
  38. 4
  39. 15
  40. 9

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