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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 866 · 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 9 and 12.
  2. 2.Find the LCM of 25 and 40.
  3. 3.Find the LCM of 8 and 18.
  4. 4.Find the HCF of 24 and 20.
  5. 5.Find the LCM of 3 and 2.
  6. 6.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 16. What is the other number?
  7. 7.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 6. What is the other number?
  8. 8.Find the LCM of 16 and 36.
  9. 9.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 21. What is the other number?
  10. 10.Find the LCM of 35 and 20.
  11. 11.Find the HCF of 30 and 70.
  12. 12.Find the LCM of 27 and 12.
  13. 13.Find the LCM of 6 and 10.
  14. 14.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 18. What is the other number?
  15. 15.Find the LCM of 4 and 6.
  16. 16.Find the LCM of 15 and 21.
  17. 17.Find the LCM of 5, 3 and 10.
  18. 18.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 63. What is the other number?
  19. 19.Find the HCF of 36 and 8.
  20. 20.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 49. What is the other number?
  21. 21.Find the LCM of 12 and 9.
  22. 22.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 21. What is the other number?
  23. 23.Find the LCM of 3, 5 and 14.
  24. 24.Find the HCF of 16 and 14.
  25. 25.Find the LCM of 45 and 40.
  26. 26.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 27. What is the other number?
  27. 27.Find the LCM of 9 and 8.
  28. 28.Find the LCM of 6 and 27.
  29. 29.Find the HCF of 10 and 16.
  30. 30.Find the HCF of 112 and 98.
  31. 31.Find the HCF of 8 and 12.
  32. 32.Find the LCM of 10, 4 and 5.
  33. 33.Find the LCM of 4, 6 and 9.
  34. 34.Find the HCF of 45 and 10.
  35. 35.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 72. What is the other number?
  36. 36.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 27. What is the other number?
  37. 37.Find the LCM of 35 and 10.
  38. 38.Find the LCM of 18 and 4.
  39. 39.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 24. What is the other number?
  40. 40.Find the LCM of 2 and 9.

Answer key

  1. 36
  2. 200
  3. 72
  4. 4
  5. 6
  6. 20
  7. 15
  8. 144
  9. 24
  10. 140
  11. 10
  12. 108
  13. 30
  14. 4
  15. 12
  16. 105
  17. 30
  18. 72
  19. 4
  20. 21
  21. 36
  22. 18
  23. 210
  24. 2
  25. 360
  26. 6
  27. 72
  28. 54
  29. 2
  30. 14
  31. 4
  32. 20
  33. 36
  34. 5
  35. 81
  36. 21
  37. 70
  38. 36
  39. 21
  40. 18

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