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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 245 · 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 40 and 25.
  2. 2.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 42. What is the other number?
  3. 3.Find the LCM of 12 and 32.
  4. 4.Find the LCM of 3, 9 and 6.
  5. 5.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 32. What is the other number?
  6. 6.Find the HCF of 32 and 36.
  7. 7.Find the HCF of 65 and 52.
  8. 8.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 45. What is the other number?
  9. 9.Find the LCM of 30 and 35.
  10. 10.Find the LCM of 30 and 24.
  11. 11.Find the LCM of 11, 3 and 12.
  12. 12.Find the LCM of 4, 10 and 7.
  13. 13.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  14. 14.Find the LCM of 25 and 30.
  15. 15.Find the LCM of 5, 14 and 4.
  16. 16.Find the HCF of 104 and 117.
  17. 17.Find the HCF of 91 and 52.
  18. 18.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  19. 19.Find the LCM of 48 and 18.
  20. 20.Find the LCM of 12, 14 and 7.
  21. 21.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  22. 22.Find the LCM of 45 and 25.
  23. 23.Find the LCM of 7 and 6.
  24. 24.Find the LCM of 10 and 12.
  25. 25.Find the LCM of 45 and 20.
  26. 26.Find the HCF of 48 and 108.
  27. 27.Find the LCM of 12, 10 and 8.
  28. 28.Find the HCF of 21 and 9.
  29. 29.Find the LCM of 2, 3 and 6.
  30. 30.Find the LCM of 12 and 14.
  31. 31.Find the LCM of 9 and 7.
  32. 32.Find the LCM of 18 and 48.
  33. 33.Find the LCM of 8 and 9.
  34. 34.Find the LCM of 6, 2 and 8.
  35. 35.Find the HCF of 54 and 12.
  36. 36.Find the LCM of 3, 6 and 9.
  37. 37.Find the LCM of 20 and 16.
  38. 38.Find the LCM of 3, 4 and 12.
  39. 39.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 35. What is the other number?
  40. 40.Find the LCM of 5, 9 and 12.

Answer key

  1. 200
  2. 35
  3. 96
  4. 18
  5. 28
  6. 4
  7. 13
  8. 72
  9. 210
  10. 120
  11. 132
  12. 140
  13. 15
  14. 150
  15. 140
  16. 13
  17. 13
  18. 4
  19. 144
  20. 84
  21. 18
  22. 225
  23. 42
  24. 60
  25. 180
  26. 12
  27. 120
  28. 3
  29. 6
  30. 84
  31. 63
  32. 144
  33. 72
  34. 24
  35. 6
  36. 18
  37. 80
  38. 12
  39. 45
  40. 180

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