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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 757 · 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 18 and 24.
  2. 2.Find the LCM of 14 and 10.
  3. 3.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 72. What is the other number?
  4. 4.Find the HCF of 30 and 20.
  5. 5.Find the LCM of 3 and 8.
  6. 6.Find the LCM of 42 and 30.
  7. 7.Find the LCM of 8, 6 and 4.
  8. 8.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 8. What is the other number?
  9. 9.Find the LCM of 8, 4 and 5.
  10. 10.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 21. What is the other number?
  11. 11.Find the LCM of 9, 3 and 10.
  12. 12.Find the LCM of 25 and 40.
  13. 13.Find the HCF of 32 and 28.
  14. 14.Find the LCM of 30 and 24.
  15. 15.Find the LCM of 10, 3 and 7.
  16. 16.Find the LCM of 5, 9 and 2.
  17. 17.Find the LCM of 9, 3 and 13.
  18. 18.Find the LCM of 6 and 27.
  19. 19.Find the HCF of 39 and 52.
  20. 20.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 63. What is the other number?
  21. 21.Find the HCF of 32 and 20.
  22. 22.Find the LCM of 15 and 10.
  23. 23.Find the LCM of 7, 2 and 13.
  24. 24.Find the LCM of 6 and 16.
  25. 25.Find the LCM of 24 and 18.
  26. 26.Find the LCM of 8 and 12.
  27. 27.Find the LCM of 16 and 12.
  28. 28.Find the HCF of 14 and 21.
  29. 29.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  30. 30.Find the LCM of 12 and 27.
  31. 31.Find the LCM of 10, 2 and 6.
  32. 32.Find the HCF of 126 and 56.
  33. 33.Find the HCF of 30 and 105.
  34. 34.Find the LCM of 6, 14 and 9.
  35. 35.Find the LCM of 12, 6 and 3.
  36. 36.Find the HCF of 6 and 16.
  37. 37.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  38. 38.Find the LCM of 20 and 35.
  39. 39.Find the LCM of 5, 9 and 4.
  40. 40.Find the LCM of 9 and 6.

Answer key

  1. 72
  2. 70
  3. 16
  4. 10
  5. 24
  6. 210
  7. 24
  8. 18
  9. 40
  10. 56
  11. 90
  12. 200
  13. 4
  14. 120
  15. 210
  16. 90
  17. 117
  18. 54
  19. 13
  20. 14
  21. 4
  22. 30
  23. 182
  24. 48
  25. 72
  26. 24
  27. 48
  28. 7
  29. 10
  30. 108
  31. 30
  32. 14
  33. 15
  34. 126
  35. 12
  36. 2
  37. 48
  38. 140
  39. 180
  40. 18

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