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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 971 · 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 6, 4 and 5.
  2. 2.Find the LCM of 3 and 5.
  3. 3.Find the HCF of 70 and 84.
  4. 4.Find the LCM of 13, 6 and 9.
  5. 5.Find the LCM of 6, 14 and 7.
  6. 6.Find the LCM of 8 and 10.
  7. 7.Find the LCM of 21 and 12.
  8. 8.Find the LCM of 4 and 14.
  9. 9.Find the HCF of 20 and 12.
  10. 10.Find the HCF of 40 and 72.
  11. 11.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 20. What is the other number?
  12. 12.Find the HCF of 24 and 28.
  13. 13.Find the HCF of 18 and 63.
  14. 14.Find the HCF of 70 and 30.
  15. 15.Find the HCF of 16 and 10.
  16. 16.Find the LCM of 28 and 36.
  17. 17.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  18. 18.Find the HCF of 55 and 22.
  19. 19.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 48. What is the other number?
  20. 20.Find the LCM of 4, 3 and 5.
  21. 21.Find the HCF of 27 and 21.
  22. 22.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 24. What is the other number?
  23. 23.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 21. What is the other number?
  24. 24.Find the LCM of 24 and 54.
  25. 25.Find the HCF of 63 and 49.
  26. 26.Find the HCF of 21 and 18.
  27. 27.Find the HCF of 55 and 66.
  28. 28.Find the LCM of 10, 3 and 9.
  29. 29.Find the LCM of 2 and 7.
  30. 30.Find the LCM of 7, 14 and 13.
  31. 31.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 14. What is the other number?
  32. 32.Find the HCF of 25 and 40.
  33. 33.Find the LCM of 14, 3 and 2.
  34. 34.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 21. What is the other number?
  35. 35.Find the HCF of 105 and 45.
  36. 36.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 6. What is the other number?
  37. 37.Find the LCM of 12, 8 and 15.
  38. 38.Find the LCM of 4, 10 and 11.
  39. 39.Find the LCM of 20 and 28.
  40. 40.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?

Answer key

  1. 60
  2. 15
  3. 14
  4. 234
  5. 42
  6. 40
  7. 84
  8. 28
  9. 4
  10. 8
  11. 24
  12. 4
  13. 9
  14. 10
  15. 2
  16. 252
  17. 18
  18. 11
  19. 56
  20. 60
  21. 3
  22. 64
  23. 6
  24. 216
  25. 7
  26. 3
  27. 11
  28. 90
  29. 14
  30. 182
  31. 16
  32. 5
  33. 42
  34. 56
  35. 15
  36. 15
  37. 120
  38. 220
  39. 140
  40. 14

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