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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 863 · 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.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 14. What is the other number?
  2. 2.Find the LCM of 9, 3 and 10.
  3. 3.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 30. What is the other number?
  4. 4.Find the LCM of 12 and 21.
  5. 5.Find the HCF of 16 and 24.
  6. 6.Find the HCF of 20 and 12.
  7. 7.Find the HCF of 33 and 88.
  8. 8.Find the LCM of 32 and 20.
  9. 9.Find the LCM of 12 and 18.
  10. 10.Find the HCF of 18 and 14.
  11. 11.Find the LCM of 8 and 36.
  12. 12.Find the LCM of 25 and 10.
  13. 13.Find the LCM of 8 and 9.
  14. 14.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  15. 15.Find the LCM of 25 and 40.
  16. 16.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 12. What is the other number?
  17. 17.Find the LCM of 4 and 18.
  18. 18.Find the LCM of 7 and 6.
  19. 19.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 24. What is the other number?
  20. 20.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 48. What is the other number?
  21. 21.Find the LCM of 2, 11 and 3.
  22. 22.Find the LCM of 16 and 36.
  23. 23.Find the LCM of 9, 3 and 13.
  24. 24.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  25. 25.Find the LCM of 12 and 20.
  26. 26.Find the LCM of 4, 8 and 11.
  27. 27.Find the LCM of 10 and 14.
  28. 28.Find the LCM of 7, 11 and 2.
  29. 29.Find the LCM of 7, 3 and 2.
  30. 30.Find the HCF of 54 and 48.
  31. 31.Find the LCM of 9, 4 and 3.
  32. 32.Find the LCM of 6 and 9.
  33. 33.Find the LCM of 30 and 54.
  34. 34.Find the LCM of 42 and 12.
  35. 35.Find the HCF of 60 and 96.
  36. 36.Find the LCM of 2, 9 and 6.
  37. 37.Find the LCM of 7 and 8.
  38. 38.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  39. 39.Find the LCM of 4, 6 and 8.
  40. 40.Find the LCM of 4, 12 and 8.

Answer key

  1. 35
  2. 90
  3. 18
  4. 84
  5. 8
  6. 4
  7. 11
  8. 160
  9. 36
  10. 2
  11. 72
  12. 50
  13. 72
  14. 18
  15. 200
  16. 42
  17. 36
  18. 42
  19. 56
  20. 56
  21. 66
  22. 144
  23. 117
  24. 27
  25. 60
  26. 88
  27. 70
  28. 154
  29. 42
  30. 6
  31. 36
  32. 18
  33. 270
  34. 84
  35. 12
  36. 18
  37. 56
  38. 24
  39. 24
  40. 24

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