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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 846 · 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 15, 5 and 6.
  2. 2.Find the LCM of 28 and 36.
  3. 3.Find the LCM of 5, 6 and 7.
  4. 4.Find the LCM of 6, 10 and 9.
  5. 5.Find the HCF of 30 and 45.
  6. 6.Find the HCF of 14 and 8.
  7. 7.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 36. What is the other number?
  8. 8.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 56. What is the other number?
  9. 9.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 35. What is the other number?
  10. 10.Find the LCM of 16 and 28.
  11. 11.Find the LCM of 7, 13 and 2.
  12. 12.Find the LCM of 8, 2 and 13.
  13. 13.Find the LCM of 14 and 12.
  14. 14.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 72. What is the other number?
  15. 15.Find the HCF of 10 and 8.
  16. 16.Find the LCM of 24 and 18.
  17. 17.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 48. What is the other number?
  18. 18.Find the HCF of 16 and 6.
  19. 19.Find the HCF of 25 and 15.
  20. 20.Find the HCF of 108 and 24.
  21. 21.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 36. What is the other number?
  22. 22.Find the LCM of 2, 9 and 4.
  23. 23.Find the LCM of 28 and 20.
  24. 24.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  25. 25.Find the LCM of 4, 5 and 7.
  26. 26.Find the LCM of 10, 8 and 3.
  27. 27.Find the LCM of 9 and 6.
  28. 28.Find the LCM of 4 and 10.
  29. 29.Find the LCM of 21 and 9.
  30. 30.Find the LCM of 15, 5 and 9.
  31. 31.Find the HCF of 6 and 10.
  32. 32.Find the LCM of 6 and 21.
  33. 33.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 16. What is the other number?
  34. 34.Find the LCM of 45 and 20.
  35. 35.Find the LCM of 24 and 42.
  36. 36.Find the HCF of 105 and 120.
  37. 37.Find the LCM of 12 and 27.
  38. 38.Find the HCF of 44 and 77.
  39. 39.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 56. What is the other number?
  40. 40.Find the LCM of 40 and 25.

Answer key

  1. 30
  2. 252
  3. 210
  4. 90
  5. 15
  6. 2
  7. 30
  8. 35
  9. 30
  10. 112
  11. 182
  12. 104
  13. 84
  14. 45
  15. 2
  16. 72
  17. 18
  18. 2
  19. 5
  20. 12
  21. 20
  22. 36
  23. 140
  24. 32
  25. 140
  26. 120
  27. 18
  28. 20
  29. 63
  30. 45
  31. 2
  32. 42
  33. 56
  34. 180
  35. 168
  36. 15
  37. 108
  38. 11
  39. 63
  40. 200

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