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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 998 · 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 HCF of 28 and 32.
  2. 2.Find the LCM of 11, 4 and 6.
  3. 3.Find the LCM of 54 and 12.
  4. 4.Find the HCF of 39 and 26.
  5. 5.Find the LCM of 10, 5 and 14.
  6. 6.Find the HCF of 16 and 6.
  7. 7.Find the LCM of 25 and 20.
  8. 8.Find the LCM of 42 and 24.
  9. 9.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 49. What is the other number?
  10. 10.Find the LCM of 25 and 35.
  11. 11.Find the HCF of 60 and 108.
  12. 12.Find the HCF of 98 and 126.
  13. 13.Find the LCM of 12, 4 and 6.
  14. 14.Find the LCM of 15, 6 and 2.
  15. 15.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 14. What is the other number?
  16. 16.Find the LCM of 15 and 10.
  17. 17.Find the LCM of 9 and 2.
  18. 18.Find the HCF of 48 and 60.
  19. 19.Find the LCM of 2, 11 and 5.
  20. 20.Find the LCM of 6, 3 and 7.
  21. 21.Find the HCF of 56 and 21.
  22. 22.Find the LCM of 15, 4 and 2.
  23. 23.Find the LCM of 18 and 21.
  24. 24.Find the LCM of 5, 12 and 4.
  25. 25.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 40. What is the other number?
  26. 26.Find the LCM of 12 and 10.
  27. 27.Find the LCM of 13, 2 and 7.
  28. 28.Find the HCF of 12 and 42.
  29. 29.Find the LCM of 4 and 5.
  30. 30.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 30. What is the other number?
  31. 31.Find the LCM of 9, 12 and 5.
  32. 32.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 72. What is the other number?
  33. 33.Find the HCF of 14 and 18.
  34. 34.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 10. What is the other number?
  35. 35.Find the LCM of 6, 11 and 9.
  36. 36.Find the HCF of 15 and 9.
  37. 37.Find the LCM of 12, 2 and 14.
  38. 38.Find the LCM of 9 and 6.
  39. 39.Find the LCM of 2, 9 and 4.
  40. 40.Find the LCM of 15, 14 and 3.

Answer key

  1. 4
  2. 132
  3. 108
  4. 13
  5. 70
  6. 2
  7. 100
  8. 168
  9. 56
  10. 175
  11. 12
  12. 14
  13. 12
  14. 30
  15. 49
  16. 30
  17. 18
  18. 12
  19. 110
  20. 42
  21. 7
  22. 60
  23. 126
  24. 60
  25. 56
  26. 60
  27. 182
  28. 6
  29. 20
  30. 25
  31. 180
  32. 63
  33. 2
  34. 45
  35. 198
  36. 3
  37. 84
  38. 18
  39. 36
  40. 210

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