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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 830 · 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 15, 10 and 6.
  2. 2.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  3. 3.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 4. What is the other number?
  4. 4.Find the LCM of 3, 8 and 14.
  5. 5.Find the LCM of 6 and 10.
  6. 6.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  7. 7.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 35. What is the other number?
  8. 8.Find the HCF of 75 and 30.
  9. 9.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  10. 10.Find the LCM of 4, 8 and 9.
  11. 11.Find the LCM of 9, 15 and 2.
  12. 12.Find the LCM of 6, 3 and 8.
  13. 13.Find the HCF of 12 and 18.
  14. 14.Find the HCF of 12 and 28.
  15. 15.Find the LCM of 5, 15 and 14.
  16. 16.Find the LCM of 24 and 15.
  17. 17.Find the HCF of 135 and 60.
  18. 18.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 40. What is the other number?
  19. 19.Find the LCM of 10, 4 and 15.
  20. 20.Find the LCM of 10, 2 and 9.
  21. 21.Find the LCM of 9, 6 and 8.
  22. 22.Find the LCM of 15, 5 and 6.
  23. 23.Find the LCM of 7 and 8.
  24. 24.Find the HCF of 24 and 9.
  25. 25.Find the LCM of 6 and 7.
  26. 26.Find the HCF of 18 and 15.
  27. 27.Find the HCF of 18 and 63.
  28. 28.Find the LCM of 5, 4 and 12.
  29. 29.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 30. What is the other number?
  30. 30.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 63. What is the other number?
  31. 31.Find the LCM of 14, 6 and 2.
  32. 32.Find the LCM of 6, 13 and 3.
  33. 33.Find the LCM of 13, 5 and 10.
  34. 34.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 16. What is the other number?
  35. 35.Find the LCM of 18 and 30.
  36. 36.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?
  37. 37.Find the LCM of 2, 8 and 14.
  38. 38.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 56. What is the other number?
  39. 39.Find the HCF of 8 and 10.
  40. 40.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 45. What is the other number?

Answer key

  1. 30
  2. 12
  3. 6
  4. 168
  5. 30
  6. 36
  7. 49
  8. 15
  9. 24
  10. 72
  11. 90
  12. 24
  13. 6
  14. 4
  15. 210
  16. 120
  17. 15
  18. 45
  19. 60
  20. 90
  21. 72
  22. 30
  23. 56
  24. 3
  25. 42
  26. 3
  27. 9
  28. 60
  29. 48
  30. 56
  31. 42
  32. 78
  33. 130
  34. 18
  35. 90
  36. 40
  37. 56
  38. 72
  39. 2
  40. 81

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