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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 224 · 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 2, 8 and 7.
  2. 2.Find the LCM of 15 and 6.
  3. 3.Find the HCF of 22 and 33.
  4. 4.Find the LCM of 12 and 32.
  5. 5.Find the LCM of 24 and 54.
  6. 6.Find the HCF of 45 and 72.
  7. 7.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  8. 8.Find the LCM of 21 and 18.
  9. 9.Find the HCF of 84 and 72.
  10. 10.Find the HCF of 24 and 16.
  11. 11.Find the LCM of 5 and 9.
  12. 12.Find the LCM of 5, 15 and 4.
  13. 13.Find the HCF of 40 and 70.
  14. 14.Find the LCM of 15, 4 and 10.
  15. 15.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 49. What is the other number?
  16. 16.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 48. What is the other number?
  17. 17.Find the HCF of 45 and 105.
  18. 18.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  19. 19.Find the HCF of 40 and 90.
  20. 20.Find the LCM of 4, 5 and 3.
  21. 21.Find the LCM of 8 and 14.
  22. 22.Find the HCF of 40 and 15.
  23. 23.Find the HCF of 28 and 42.
  24. 24.Find the LCM of 25 and 45.
  25. 25.Find the LCM of 2, 5 and 3.
  26. 26.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  27. 27.Find the LCM of 2, 6 and 5.
  28. 28.Find the HCF of 12 and 42.
  29. 29.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  30. 30.Find the LCM of 18 and 10.
  31. 31.Find the LCM of 14, 2 and 7.
  32. 32.Find the LCM of 4 and 6.
  33. 33.Find the LCM of 15, 5 and 8.
  34. 34.Find the LCM of 8, 4 and 6.
  35. 35.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  36. 36.Find the HCF of 44 and 77.
  37. 37.Find the LCM of 3, 15 and 6.
  38. 38.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 28. What is the other number?
  39. 39.Find the LCM of 2, 15 and 5.
  40. 40.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 30. What is the other number?

Answer key

  1. 56
  2. 30
  3. 11
  4. 96
  5. 216
  6. 9
  7. 40
  8. 126
  9. 12
  10. 8
  11. 45
  12. 60
  13. 10
  14. 60
  15. 28
  16. 40
  17. 15
  18. 40
  19. 10
  20. 60
  21. 56
  22. 5
  23. 14
  24. 225
  25. 30
  26. 10
  27. 30
  28. 6
  29. 12
  30. 90
  31. 14
  32. 12
  33. 120
  34. 24
  35. 36
  36. 11
  37. 30
  38. 32
  39. 30
  40. 48

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