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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 907 · 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 15 and 24.
  2. 2.Find the LCM of 3 and 4.
  3. 3.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 27. What is the other number?
  4. 4.Find the HCF of 15 and 25.
  5. 5.Find the LCM of 9 and 4.
  6. 6.Find the HCF of 81 and 63.
  7. 7.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 54. What is the other number?
  8. 8.Find the LCM of 10, 3 and 14.
  9. 9.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  10. 10.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 36. What is the other number?
  11. 11.Find the HCF of 36 and 48.
  12. 12.Find the LCM of 14, 2 and 13.
  13. 13.Find the LCM of 15, 9 and 5.
  14. 14.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 35. What is the other number?
  15. 15.Find the HCF of 24 and 64.
  16. 16.Find the HCF of 10 and 25.
  17. 17.Find the LCM of 3, 13 and 2.
  18. 18.Find the HCF of 99 and 77.
  19. 19.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 72. What is the other number?
  20. 20.Find the LCM of 6, 14 and 12.
  21. 21.Find the LCM of 30 and 25.
  22. 22.Find the HCF of 35 and 30.
  23. 23.Find the LCM of 36 and 8.
  24. 24.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  25. 25.Find the HCF of 99 and 22.
  26. 26.Find the HCF of 54 and 24.
  27. 27.Find the HCF of 28 and 16.
  28. 28.Find the LCM of 4 and 18.
  29. 29.Find the LCM of 14, 2 and 5.
  30. 30.Find the HCF of 30 and 50.
  31. 31.Find the LCM of 4, 2 and 3.
  32. 32.Find the LCM of 4, 15 and 5.
  33. 33.Find the LCM of 2, 9 and 10.
  34. 34.Find the LCM of 2 and 3.
  35. 35.Find the HCF of 12 and 9.
  36. 36.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 45. What is the other number?
  37. 37.Find the LCM of 4 and 3.
  38. 38.Find the LCM of 6, 15 and 14.
  39. 39.Find the LCM of 8, 3 and 12.
  40. 40.Find the LCM of 10 and 18.

Answer key

  1. 120
  2. 12
  3. 63
  4. 5
  5. 36
  6. 9
  7. 42
  8. 210
  9. 12
  10. 45
  11. 12
  12. 182
  13. 45
  14. 28
  15. 8
  16. 5
  17. 78
  18. 11
  19. 63
  20. 84
  21. 150
  22. 5
  23. 72
  24. 16
  25. 11
  26. 6
  27. 4
  28. 36
  29. 70
  30. 10
  31. 12
  32. 60
  33. 90
  34. 6
  35. 3
  36. 35
  37. 12
  38. 210
  39. 24
  40. 90

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