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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 889 · 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 12 and 9.
  2. 2.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?
  3. 3.Find the LCM of 9, 15 and 12.
  4. 4.Find the LCM of 6, 8 and 2.
  5. 5.Find the LCM of 20 and 16.
  6. 6.Find the LCM of 12 and 20.
  7. 7.Find the LCM of 3, 5 and 4.
  8. 8.Find the LCM of 6 and 7.
  9. 9.Find the LCM of 2, 10 and 4.
  10. 10.Find the LCM of 6 and 27.
  11. 11.Find the LCM of 14, 7 and 9.
  12. 12.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 16. What is the other number?
  13. 13.Find the HCF of 39 and 65.
  14. 14.Find the LCM of 54 and 12.
  15. 15.Find the HCF of 20 and 45.
  16. 16.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 42. What is the other number?
  17. 17.Find the LCM of 15 and 24.
  18. 18.Find the LCM of 7, 4 and 14.
  19. 19.Find the HCF of 27 and 12.
  20. 20.Find the LCM of 12 and 14.
  21. 21.Find the HCF of 28 and 70.
  22. 22.Find the LCM of 4, 9 and 2.
  23. 23.Find the HCF of 14 and 21.
  24. 24.Find the LCM of 15, 3 and 4.
  25. 25.Find the HCF of 70 and 126.
  26. 26.Find the HCF of 35 and 30.
  27. 27.Find the HCF of 36 and 32.
  28. 28.Find the LCM of 35 and 20.
  29. 29.Find the LCM of 12, 15 and 3.
  30. 30.Find the LCM of 6 and 5.
  31. 31.Find the LCM of 9, 7 and 14.
  32. 32.Find the LCM of 6 and 9.
  33. 33.Find the LCM of 15, 10 and 12.
  34. 34.Find the HCF of 27 and 45.
  35. 35.Find the LCM of 12, 8 and 2.
  36. 36.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  37. 37.Find the LCM of 13, 15 and 3.
  38. 38.Find the LCM of 8 and 20.
  39. 39.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  40. 40.Find the LCM of 10 and 25.

Answer key

  1. 36
  2. 18
  3. 180
  4. 24
  5. 80
  6. 60
  7. 60
  8. 42
  9. 20
  10. 54
  11. 126
  12. 36
  13. 13
  14. 108
  15. 5
  16. 48
  17. 120
  18. 28
  19. 3
  20. 84
  21. 14
  22. 36
  23. 7
  24. 60
  25. 14
  26. 5
  27. 4
  28. 140
  29. 60
  30. 30
  31. 126
  32. 18
  33. 60
  34. 9
  35. 24
  36. 27
  37. 195
  38. 40
  39. 18
  40. 50

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