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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 816 · 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 7 and 4.
  2. 2.Find the LCM of 4, 6 and 15.
  3. 3.Find the LCM of 13, 2 and 9.
  4. 4.Find the HCF of 90 and 20.
  5. 5.Find the HCF of 8 and 18.
  6. 6.Find the LCM of 42 and 12.
  7. 7.Find the HCF of 6 and 10.
  8. 8.Find the LCM of 28 and 8.
  9. 9.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 63. What is the other number?
  10. 10.Find the LCM of 8, 4 and 13.
  11. 11.Find the LCM of 3 and 4.
  12. 12.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 28. What is the other number?
  13. 13.Find the LCM of 4, 8 and 14.
  14. 14.Find the LCM of 4, 3 and 11.
  15. 15.Find the HCF of 15 and 6.
  16. 16.Find the LCM of 11, 4 and 12.
  17. 17.Find the LCM of 7, 6 and 10.
  18. 18.Find the LCM of 2, 12 and 10.
  19. 19.Find the LCM of 3, 7 and 15.
  20. 20.Find the LCM of 5, 4 and 9.
  21. 21.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 63. What is the other number?
  22. 22.Find the LCM of 13, 4 and 12.
  23. 23.Find the HCF of 28 and 8.
  24. 24.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 45. What is the other number?
  25. 25.Find the HCF of 24 and 42.
  26. 26.Find the LCM of 6, 12 and 11.
  27. 27.Find the LCM of 3, 10 and 5.
  28. 28.Find the LCM of 7 and 9.
  29. 29.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  30. 30.Find the LCM of 35 and 40.
  31. 31.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 8. What is the other number?
  32. 32.Find the LCM of 18 and 48.
  33. 33.Find the HCF of 60 and 50.
  34. 34.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  35. 35.Find the LCM of 7, 10 and 6.
  36. 36.Find the LCM of 12 and 20.
  37. 37.Find the LCM of 24 and 20.
  38. 38.Find the LCM of 8, 3 and 2.
  39. 39.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 35. What is the other number?
  40. 40.Find the HCF of 16 and 56.

Answer key

  1. 28
  2. 60
  3. 234
  4. 10
  5. 2
  6. 84
  7. 2
  8. 56
  9. 72
  10. 104
  11. 12
  12. 20
  13. 56
  14. 132
  15. 3
  16. 132
  17. 210
  18. 60
  19. 105
  20. 180
  21. 81
  22. 156
  23. 4
  24. 81
  25. 6
  26. 132
  27. 30
  28. 63
  29. 18
  30. 280
  31. 14
  32. 144
  33. 10
  34. 6
  35. 210
  36. 60
  37. 120
  38. 24
  39. 28
  40. 8

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