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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 818 · 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 4 and 18.
  2. 2.Find the HCF of 45 and 81.
  3. 3.Find the HCF of 15 and 18.
  4. 4.Find the LCM of 11, 6 and 2.
  5. 5.Find the HCF of 10 and 8.
  6. 6.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 48. What is the other number?
  7. 7.Find the LCM of 42 and 30.
  8. 8.Find the LCM of 18 and 15.
  9. 9.Find the LCM of 10, 7 and 5.
  10. 10.Find the LCM of 30 and 48.
  11. 11.Find the LCM of 16 and 12.
  12. 12.Find the LCM of 25 and 15.
  13. 13.Find the LCM of 10 and 15.
  14. 14.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 72. What is the other number?
  15. 15.Find the LCM of 14, 10 and 6.
  16. 16.Find the HCF of 6 and 8.
  17. 17.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 32. What is the other number?
  18. 18.Find the HCF of 12 and 54.
  19. 19.Find the LCM of 3 and 5.
  20. 20.Find the HCF of 24 and 36.
  21. 21.Find the HCF of 99 and 88.
  22. 22.Find the HCF of 8 and 10.
  23. 23.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 24. What is the other number?
  24. 24.Find the LCM of 30 and 35.
  25. 25.Find the LCM of 13, 2 and 4.
  26. 26.Find the LCM of 36 and 28.
  27. 27.Find the HCF of 48 and 30.
  28. 28.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  29. 29.Find the LCM of 35 and 30.
  30. 30.Find the LCM of 4 and 3.
  31. 31.Find the HCF of 30 and 25.
  32. 32.Find the LCM of 11, 3 and 4.
  33. 33.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 10. What is the other number?
  34. 34.Find the LCM of 20 and 25.
  35. 35.Find the LCM of 16 and 14.
  36. 36.Find the LCM of 45 and 35.
  37. 37.Find the HCF of 42 and 54.
  38. 38.Find the LCM of 2, 13 and 6.
  39. 39.Find the LCM of 7 and 2.
  40. 40.Find the LCM of 9 and 24.

Answer key

  1. 36
  2. 9
  3. 3
  4. 66
  5. 2
  6. 54
  7. 210
  8. 90
  9. 70
  10. 240
  11. 48
  12. 75
  13. 30
  14. 40
  15. 210
  16. 2
  17. 36
  18. 6
  19. 15
  20. 12
  21. 11
  22. 2
  23. 20
  24. 210
  25. 52
  26. 252
  27. 6
  28. 18
  29. 210
  30. 12
  31. 5
  32. 132
  33. 45
  34. 100
  35. 112
  36. 315
  37. 6
  38. 78
  39. 14
  40. 72

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