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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 974 · 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, 10 and 9.
  2. 2.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 49. What is the other number?
  3. 3.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 36. What is the other number?
  4. 4.Find the LCM of 5 and 3.
  5. 5.Find the LCM of 10, 4 and 2.
  6. 6.Find the HCF of 42 and 24.
  7. 7.Find the HCF of 35 and 25.
  8. 8.Find the LCM of 8 and 7.
  9. 9.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 10. What is the other number?
  10. 10.Find the LCM of 4, 10 and 2.
  11. 11.Find the LCM of 9 and 5.
  12. 12.Find the HCF of 14 and 18.
  13. 13.Find the LCM of 8 and 12.
  14. 14.Find the HCF of 27 and 12.
  15. 15.Find the LCM of 15, 4 and 5.
  16. 16.Find the LCM of 40 and 45.
  17. 17.Find the LCM of 3, 6 and 13.
  18. 18.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 72. What is the other number?
  19. 19.Find the LCM of 8 and 10.
  20. 20.Find the LCM of 8 and 18.
  21. 21.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 63. What is the other number?
  22. 22.Find the LCM of 12 and 21.
  23. 23.Find the LCM of 8, 9 and 4.
  24. 24.Find the HCF of 16 and 6.
  25. 25.Find the LCM of 18 and 15.
  26. 26.Find the LCM of 6 and 4.
  27. 27.Find the LCM of 16 and 18.
  28. 28.Find the LCM of 9, 11 and 3.
  29. 29.Find the LCM of 8, 6 and 14.
  30. 30.Find the LCM of 3, 5 and 9.
  31. 31.Find the LCM of 18 and 48.
  32. 32.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 28. What is the other number?
  33. 33.Find the LCM of 7, 3 and 15.
  34. 34.Find the LCM of 3, 9 and 12.
  35. 35.Find the LCM of 2, 5 and 14.
  36. 36.Find the HCF of 15 and 21.
  37. 37.Find the LCM of 5, 6 and 10.
  38. 38.Find the LCM of 10, 12 and 4.
  39. 39.Find the LCM of 7 and 8.
  40. 40.Find the HCF of 20 and 8.

Answer key

  1. 180
  2. 28
  3. 30
  4. 15
  5. 20
  6. 6
  7. 5
  8. 56
  9. 45
  10. 20
  11. 45
  12. 2
  13. 24
  14. 3
  15. 60
  16. 360
  17. 78
  18. 32
  19. 40
  20. 72
  21. 49
  22. 84
  23. 72
  24. 2
  25. 90
  26. 12
  27. 144
  28. 99
  29. 168
  30. 45
  31. 144
  32. 24
  33. 105
  34. 36
  35. 70
  36. 3
  37. 30
  38. 60
  39. 56
  40. 4

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