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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 188 · 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 16 and 6.
  2. 2.Find the LCM of 2, 5 and 10.
  3. 3.Find the LCM of 5, 10 and 8.
  4. 4.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 10. What is the other number?
  5. 5.Find the HCF of 108 and 96.
  6. 6.Find the LCM of 9, 10 and 3.
  7. 7.Find the LCM of 15 and 27.
  8. 8.Find the LCM of 6, 14 and 3.
  9. 9.Find the LCM of 5, 7 and 10.
  10. 10.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 8. What is the other number?
  11. 11.Find the HCF of 45 and 60.
  12. 12.Find the LCM of 6, 10 and 2.
  13. 13.Find the HCF of 45 and 27.
  14. 14.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 30. What is the other number?
  15. 15.Find the HCF of 80 and 70.
  16. 16.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 40. What is the other number?
  17. 17.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 28. What is the other number?
  18. 18.Find the HCF of 32 and 12.
  19. 19.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  20. 20.Find the HCF of 81 and 45.
  21. 21.Find the LCM of 5 and 2.
  22. 22.Find the HCF of 75 and 60.
  23. 23.Find the HCF of 44 and 99.
  24. 24.Find the LCM of 15 and 6.
  25. 25.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 63. What is the other number?
  26. 26.Find the LCM of 15, 3 and 4.
  27. 27.Find the LCM of 2, 6 and 8.
  28. 28.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  29. 29.Find the LCM of 9, 12 and 6.
  30. 30.Find the HCF of 56 and 40.
  31. 31.Find the LCM of 54 and 48.
  32. 32.Find the LCM of 30 and 25.
  33. 33.Find the LCM of 54 and 42.
  34. 34.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  35. 35.Find the HCF of 77 and 88.
  36. 36.Find the HCF of 16 and 6.
  37. 37.Find the LCM of 9 and 2.
  38. 38.Find the HCF of 90 and 105.
  39. 39.Find the HCF of 70 and 50.
  40. 40.Find the LCM of 13, 4 and 2.

Answer key

  1. 48
  2. 10
  3. 40
  4. 25
  5. 12
  6. 90
  7. 135
  8. 42
  9. 70
  10. 10
  11. 15
  12. 30
  13. 9
  14. 36
  15. 10
  16. 56
  17. 63
  18. 4
  19. 9
  20. 9
  21. 10
  22. 15
  23. 11
  24. 30
  25. 14
  26. 60
  27. 24
  28. 40
  29. 36
  30. 8
  31. 432
  32. 150
  33. 378
  34. 4
  35. 11
  36. 2
  37. 18
  38. 15
  39. 10
  40. 52

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