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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 672 · 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 8, 9 and 6.
  2. 2.Find the HCF of 6 and 16.
  3. 3.Find the LCM of 35 and 25.
  4. 4.Find the LCM of 3, 14 and 7.
  5. 5.Find the HCF of 36 and 28.
  6. 6.Find the LCM of 30 and 36.
  7. 7.Find the LCM of 9, 7 and 3.
  8. 8.Find the HCF of 18 and 15.
  9. 9.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 28. What is the other number?
  10. 10.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 36. What is the other number?
  11. 11.Find the LCM of 4, 6 and 2.
  12. 12.Find the HCF of 60 and 105.
  13. 13.Find the LCM of 8, 11 and 2.
  14. 14.Find the LCM of 27 and 12.
  15. 15.Find the HCF of 21 and 6.
  16. 16.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 42. What is the other number?
  17. 17.Find the HCF of 63 and 36.
  18. 18.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  19. 19.Find the HCF of 126 and 28.
  20. 20.Find the LCM of 9, 4 and 5.
  21. 21.Find the LCM of 32 and 12.
  22. 22.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 30. What is the other number?
  23. 23.Find the LCM of 15 and 12.
  24. 24.Find the HCF of 28 and 24.
  25. 25.Find the LCM of 12, 2 and 4.
  26. 26.Find the LCM of 5, 10 and 4.
  27. 27.Find the LCM of 6, 3 and 14.
  28. 28.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 15. What is the other number?
  29. 29.Find the LCM of 11, 10 and 5.
  30. 30.Find the HCF of 52 and 65.
  31. 31.Find the HCF of 36 and 30.
  32. 32.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  33. 33.Find the LCM of 5, 4 and 7.
  34. 34.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 45. What is the other number?
  35. 35.Find the LCM of 40 and 15.
  36. 36.Find the LCM of 6 and 5.
  37. 37.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  38. 38.Find the LCM of 15, 13 and 5.
  39. 39.Find the HCF of 12 and 28.
  40. 40.Find the LCM of 4, 7 and 5.

Answer key

  1. 72
  2. 2
  3. 175
  4. 42
  5. 4
  6. 180
  7. 63
  8. 3
  9. 35
  10. 42
  11. 12
  12. 15
  13. 88
  14. 108
  15. 3
  16. 24
  17. 9
  18. 20
  19. 14
  20. 180
  21. 96
  22. 36
  23. 60
  24. 4
  25. 12
  26. 20
  27. 42
  28. 18
  29. 110
  30. 13
  31. 6
  32. 10
  33. 140
  34. 63
  35. 120
  36. 30
  37. 6
  38. 195
  39. 4
  40. 140

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