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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 854 · 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 4, 2 and 14.
  2. 2.Find the LCM of 21 and 9.
  3. 3.Find the HCF of 26 and 65.
  4. 4.Find the LCM of 15, 2 and 6.
  5. 5.Find the LCM of 5, 15 and 6.
  6. 6.Find the LCM of 5, 6 and 2.
  7. 7.Find the HCF of 35 and 40.
  8. 8.Find the LCM of 42 and 36.
  9. 9.Find the HCF of 81 and 36.
  10. 10.Find the LCM of 15 and 6.
  11. 11.Find the HCF of 24 and 36.
  12. 12.Find the LCM of 10, 2 and 9.
  13. 13.Find the HCF of 52 and 65.
  14. 14.Find the LCM of 15 and 18.
  15. 15.Find the HCF of 35 and 45.
  16. 16.Find the HCF of 30 and 135.
  17. 17.Find the LCM of 32 and 12.
  18. 18.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 35. What is the other number?
  19. 19.Find the LCM of 27 and 6.
  20. 20.Find the HCF of 18 and 48.
  21. 21.Find the LCM of 8 and 20.
  22. 22.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  23. 23.Find the HCF of 8 and 14.
  24. 24.Find the LCM of 4, 7 and 12.
  25. 25.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 40. What is the other number?
  26. 26.Find the LCM of 2 and 3.
  27. 27.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 20. What is the other number?
  28. 28.Find the LCM of 3, 10 and 8.
  29. 29.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 30. What is the other number?
  30. 30.Find the HCF of 36 and 32.
  31. 31.Find the HCF of 88 and 55.
  32. 32.Find the LCM of 5, 15 and 13.
  33. 33.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  34. 34.Find the LCM of 12 and 10.
  35. 35.Find the HCF of 36 and 48.
  36. 36.Find the LCM of 8, 2 and 12.
  37. 37.Find the LCM of 5, 2 and 13.
  38. 38.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 40. What is the other number?
  39. 39.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 54. What is the other number?
  40. 40.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?

Answer key

  1. 28
  2. 63
  3. 13
  4. 30
  5. 30
  6. 30
  7. 5
  8. 252
  9. 9
  10. 30
  11. 12
  12. 90
  13. 13
  14. 90
  15. 5
  16. 15
  17. 96
  18. 42
  19. 54
  20. 6
  21. 40
  22. 10
  23. 2
  24. 84
  25. 64
  26. 6
  27. 36
  28. 120
  29. 25
  30. 4
  31. 11
  32. 195
  33. 36
  34. 60
  35. 12
  36. 24
  37. 130
  38. 45
  39. 48
  40. 15

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