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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 911 · 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 25 and 15.
  2. 2.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 18. What is the other number?
  3. 3.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  4. 4.Find the HCF of 30 and 80.
  5. 5.Find the LCM of 6, 11 and 4.
  6. 6.Find the HCF of 40 and 45.
  7. 7.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 45. What is the other number?
  8. 8.Find the LCM of 35 and 45.
  9. 9.Find the LCM of 8 and 20.
  10. 10.Find the LCM of 5 and 6.
  11. 11.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?
  12. 12.Find the LCM of 18 and 8.
  13. 13.Find the LCM of 10 and 6.
  14. 14.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 54. What is the other number?
  15. 15.Find the LCM of 18 and 16.
  16. 16.Find the LCM of 2, 3 and 11.
  17. 17.Find the HCF of 25 and 20.
  18. 18.Find the LCM of 9, 6 and 12.
  19. 19.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 45. What is the other number?
  20. 20.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?
  21. 21.Find the LCM of 7 and 2.
  22. 22.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 48. What is the other number?
  23. 23.Find the LCM of 12, 9 and 8.
  24. 24.Find the LCM of 10, 5 and 2.
  25. 25.Find the HCF of 26 and 91.
  26. 26.Find the HCF of 77 and 33.
  27. 27.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 14. What is the other number?
  28. 28.Find the LCM of 12, 7 and 2.
  29. 29.Find the LCM of 8, 6 and 5.
  30. 30.Find the LCM of 6 and 9.
  31. 31.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  32. 32.Find the LCM of 15, 5 and 10.
  33. 33.Find the HCF of 28 and 126.
  34. 34.Find the LCM of 7, 8 and 12.
  35. 35.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 24. What is the other number?
  36. 36.Find the HCF of 56 and 35.
  37. 37.Find the LCM of 4 and 14.
  38. 38.Find the HCF of 36 and 48.
  39. 39.Find the LCM of 3, 5 and 13.
  40. 40.Find the HCF of 32 and 56.

Answer key

  1. 75
  2. 21
  3. 4
  4. 10
  5. 132
  6. 5
  7. 20
  8. 315
  9. 40
  10. 30
  11. 20
  12. 72
  13. 30
  14. 30
  15. 144
  16. 66
  17. 5
  18. 36
  19. 25
  20. 72
  21. 14
  22. 40
  23. 72
  24. 10
  25. 13
  26. 11
  27. 8
  28. 84
  29. 120
  30. 18
  31. 6
  32. 30
  33. 14
  34. 168
  35. 30
  36. 7
  37. 28
  38. 12
  39. 195
  40. 8

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