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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 893 · 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 5, 2 and 6.
  2. 2.Find the HCF of 27 and 21.
  3. 3.Find the HCF of 45 and 36.
  4. 4.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  5. 5.Find the LCM of 6, 7 and 5.
  6. 6.Find the LCM of 7, 14 and 4.
  7. 7.Find the LCM of 28 and 8.
  8. 8.Find the LCM of 3, 10 and 7.
  9. 9.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 35. What is the other number?
  10. 10.Find the LCM of 6, 2 and 13.
  11. 11.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 42. What is the other number?
  12. 12.Find the LCM of 3, 6 and 2.
  13. 13.Find the LCM of 11, 9 and 3.
  14. 14.Find the LCM of 35 and 15.
  15. 15.Find the HCF of 56 and 64.
  16. 16.Find the HCF of 24 and 36.
  17. 17.Find the HCF of 56 and 63.
  18. 18.Find the HCF of 12 and 9.
  19. 19.Find the HCF of 39 and 52.
  20. 20.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 56. What is the other number?
  21. 21.Find the LCM of 8 and 14.
  22. 22.Find the HCF of 12 and 20.
  23. 23.Find the LCM of 14, 12 and 6.
  24. 24.Find the LCM of 24 and 42.
  25. 25.Find the LCM of 48 and 30.
  26. 26.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 18. What is the other number?
  27. 27.Find the LCM of 9 and 21.
  28. 28.Find the LCM of 8, 6 and 5.
  29. 29.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 40. What is the other number?
  30. 30.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?
  31. 31.Find the LCM of 2 and 9.
  32. 32.Find the HCF of 40 and 32.
  33. 33.Find the HCF of 28 and 63.
  34. 34.Find the HCF of 15 and 27.
  35. 35.Find the LCM of 12, 2 and 9.
  36. 36.Find the LCM of 8 and 7.
  37. 37.Find the LCM of 18 and 42.
  38. 38.Find the LCM of 5, 8 and 4.
  39. 39.Find the LCM of 18 and 30.
  40. 40.Find the HCF of 44 and 77.

Answer key

  1. 30
  2. 3
  3. 9
  4. 14
  5. 210
  6. 28
  7. 56
  8. 210
  9. 28
  10. 78
  11. 35
  12. 6
  13. 99
  14. 105
  15. 8
  16. 12
  17. 7
  18. 3
  19. 13
  20. 21
  21. 56
  22. 4
  23. 84
  24. 168
  25. 240
  26. 48
  27. 63
  28. 120
  29. 45
  30. 14
  31. 18
  32. 8
  33. 7
  34. 3
  35. 36
  36. 56
  37. 126
  38. 40
  39. 90
  40. 11

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