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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 915 · 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 5 and 6.
  2. 2.Find the LCM of 6 and 4.
  3. 3.Find the LCM of 8, 12 and 7.
  4. 4.Find the LCM of 2, 10 and 6.
  5. 5.Find the LCM of 36 and 16.
  6. 6.Find the LCM of 8 and 14.
  7. 7.Find the LCM of 9, 2 and 7.
  8. 8.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 12. What is the other number?
  9. 9.Find the HCF of 49 and 14.
  10. 10.Find the LCM of 16 and 28.
  11. 11.Find the LCM of 10, 7 and 4.
  12. 12.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 45. What is the other number?
  13. 13.Find the LCM of 12, 3 and 8.
  14. 14.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  15. 15.Find the LCM of 12, 3 and 14.
  16. 16.Find the HCF of 99 and 22.
  17. 17.Find the HCF of 24 and 30.
  18. 18.Find the LCM of 3 and 5.
  19. 19.Find the HCF of 44 and 33.
  20. 20.Find the LCM of 20 and 12.
  21. 21.Find the LCM of 8 and 28.
  22. 22.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 56. What is the other number?
  23. 23.Find the LCM of 4, 5 and 10.
  24. 24.Find the HCF of 56 and 64.
  25. 25.Find the LCM of 9, 2 and 12.
  26. 26.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?
  27. 27.Find the LCM of 10 and 12.
  28. 28.Find the LCM of 24 and 28.
  29. 29.Find the LCM of 10 and 4.
  30. 30.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 10. What is the other number?
  31. 31.Find the HCF of 81 and 63.
  32. 32.Find the HCF of 28 and 16.
  33. 33.Find the LCM of 8 and 10.
  34. 34.Find the LCM of 2, 6 and 3.
  35. 35.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?
  36. 36.Find the HCF of 35 and 10.
  37. 37.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 27. What is the other number?
  38. 38.Find the HCF of 70 and 56.
  39. 39.Find the HCF of 18 and 21.
  40. 40.Find the LCM of 5 and 4.

Answer key

  1. 30
  2. 12
  3. 168
  4. 30
  5. 144
  6. 56
  7. 126
  8. 42
  9. 7
  10. 112
  11. 140
  12. 36
  13. 24
  14. 40
  15. 84
  16. 11
  17. 6
  18. 15
  19. 11
  20. 60
  21. 56
  22. 32
  23. 20
  24. 8
  25. 36
  26. 20
  27. 60
  28. 168
  29. 20
  30. 8
  31. 9
  32. 4
  33. 40
  34. 6
  35. 21
  36. 5
  37. 15
  38. 14
  39. 3
  40. 20

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