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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 886 · 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 16 and 18.
  2. 2.Find the LCM of 2, 10 and 9.
  3. 3.Find the HCF of 18 and 42.
  4. 4.Find the LCM of 15, 10 and 14.
  5. 5.Find the LCM of 8, 3 and 9.
  6. 6.Find the HCF of 40 and 15.
  7. 7.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  8. 8.Find the LCM of 12, 2 and 13.
  9. 9.Find the LCM of 4, 2 and 14.
  10. 10.Find the HCF of 14 and 12.
  11. 11.Find the LCM of 3, 11 and 6.
  12. 12.Find the LCM of 7 and 9.
  13. 13.Find the HCF of 15 and 20.
  14. 14.Find the HCF of 18 and 14.
  15. 15.Find the LCM of 5, 11 and 2.
  16. 16.Find the LCM of 6, 11 and 2.
  17. 17.Find the LCM of 15 and 20.
  18. 18.Find the LCM of 54 and 48.
  19. 19.Find the LCM of 45 and 40.
  20. 20.Find the LCM of 4 and 10.
  21. 21.Find the LCM of 14, 10 and 5.
  22. 22.Find the HCF of 21 and 49.
  23. 23.Find the HCF of 35 and 30.
  24. 24.Find the LCM of 10, 4 and 9.
  25. 25.Find the LCM of 14, 2 and 3.
  26. 26.Find the LCM of 12, 5 and 4.
  27. 27.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  28. 28.Find the LCM of 30 and 42.
  29. 29.Find the HCF of 90 and 20.
  30. 30.Find the LCM of 6 and 15.
  31. 31.Find the LCM of 18 and 4.
  32. 32.Find the LCM of 12 and 54.
  33. 33.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  34. 34.Find the LCM of 6 and 21.
  35. 35.Find the HCF of 4 and 14.
  36. 36.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?
  37. 37.Find the LCM of 5, 2 and 8.
  38. 38.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?
  39. 39.Find the LCM of 6, 14 and 10.
  40. 40.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?

Answer key

  1. 144
  2. 90
  3. 6
  4. 210
  5. 72
  6. 5
  7. 27
  8. 156
  9. 28
  10. 2
  11. 66
  12. 63
  13. 5
  14. 2
  15. 110
  16. 66
  17. 60
  18. 432
  19. 360
  20. 20
  21. 70
  22. 7
  23. 5
  24. 180
  25. 42
  26. 60
  27. 14
  28. 210
  29. 10
  30. 30
  31. 36
  32. 108
  33. 27
  34. 42
  35. 2
  36. 12
  37. 40
  38. 8
  39. 210
  40. 72

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