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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 772 · 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 28 and 8.
  2. 2.Find the LCM of 13, 6 and 3.
  3. 3.Find the HCF of 48 and 18.
  4. 4.Find the LCM of 2, 14 and 3.
  5. 5.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
  6. 6.Find the HCF of 24 and 21.
  7. 7.Find the LCM of 9, 3 and 6.
  8. 8.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  9. 9.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  10. 10.Find the LCM of 6 and 4.
  11. 11.Find the LCM of 8, 14 and 4.
  12. 12.Find the LCM of 15 and 40.
  13. 13.Find the LCM of 6 and 9.
  14. 14.Find the HCF of 42 and 98.
  15. 15.Find the LCM of 7, 5 and 15.
  16. 16.Find the HCF of 55 and 44.
  17. 17.Find the HCF of 36 and 81.
  18. 18.Find the LCM of 10, 14 and 6.
  19. 19.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 35. What is the other number?
  20. 20.Find the LCM of 12 and 21.
  21. 21.Find the LCM of 4, 10 and 2.
  22. 22.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 18. What is the other number?
  23. 23.Find the LCM of 13, 2 and 7.
  24. 24.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 14. What is the other number?
  25. 25.Find the LCM of 7, 14 and 11.
  26. 26.Find the LCM of 30 and 25.
  27. 27.Find the LCM of 12, 10 and 3.
  28. 28.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 24. What is the other number?
  29. 29.Find the LCM of 2, 4 and 12.
  30. 30.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 35. What is the other number?
  31. 31.Find the HCF of 70 and 56.
  32. 32.Find the LCM of 3, 2 and 8.
  33. 33.Find the LCM of 8, 10 and 5.
  34. 34.Find the LCM of 5, 12 and 3.
  35. 35.Find the HCF of 42 and 30.
  36. 36.Find the HCF of 10 and 8.
  37. 37.Find the LCM of 9 and 5.
  38. 38.Find the LCM of 36 and 42.
  39. 39.Find the HCF of 9 and 12.
  40. 40.Find the LCM of 30 and 48.

Answer key

  1. 56
  2. 78
  3. 6
  4. 42
  5. 15
  6. 3
  7. 18
  8. 24
  9. 10
  10. 12
  11. 56
  12. 120
  13. 18
  14. 14
  15. 105
  16. 11
  17. 9
  18. 210
  19. 25
  20. 84
  21. 20
  22. 42
  23. 182
  24. 8
  25. 154
  26. 150
  27. 60
  28. 30
  29. 12
  30. 63
  31. 14
  32. 24
  33. 40
  34. 60
  35. 6
  36. 2
  37. 45
  38. 252
  39. 3
  40. 240

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