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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 895 · 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 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  2. 2.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 72. What is the other number?
  3. 3.Find the LCM of 28 and 8.
  4. 4.Find the LCM of 6, 15 and 9.
  5. 5.Find the HCF of 24 and 40.
  6. 6.Find the HCF of 75 and 90.
  7. 7.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 14. What is the other number?
  8. 8.Find the LCM of 2 and 7.
  9. 9.Find the LCM of 5, 10 and 2.
  10. 10.Find the LCM of 8 and 3.
  11. 11.Find the LCM of 28 and 32.
  12. 12.Find the HCF of 24 and 20.
  13. 13.Find the HCF of 12 and 10.
  14. 14.Find the LCM of 6 and 8.
  15. 15.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 63. What is the other number?
  16. 16.Find the LCM of 21 and 12.
  17. 17.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 40. What is the other number?
  18. 18.Find the LCM of 10, 2 and 7.
  19. 19.Find the LCM of 8 and 6.
  20. 20.Find the HCF of 70 and 56.
  21. 21.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 24. What is the other number?
  22. 22.Find the LCM of 3, 5 and 13.
  23. 23.Find the HCF of 84 and 70.
  24. 24.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  25. 25.Find the LCM of 7, 15 and 2.
  26. 26.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 21. What is the other number?
  27. 27.Find the LCM of 4 and 18.
  28. 28.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 45. What is the other number?
  29. 29.Find the LCM of 21 and 27.
  30. 30.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  31. 31.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 8. What is the other number?
  32. 32.Find the LCM of 7, 14 and 11.
  33. 33.Find the LCM of 16 and 20.
  34. 34.Find the LCM of 2, 6 and 12.
  35. 35.Find the LCM of 14, 2 and 8.
  36. 36.Find the HCF of 55 and 33.
  37. 37.Find the HCF of 30 and 135.
  38. 38.Find the HCF of 15 and 40.
  39. 39.Find the LCM of 18 and 24.
  40. 40.Find the LCM of 7 and 3.

Answer key

  1. 36
  2. 16
  3. 56
  4. 90
  5. 8
  6. 15
  7. 35
  8. 14
  9. 10
  10. 24
  11. 224
  12. 4
  13. 2
  14. 24
  15. 81
  16. 84
  17. 15
  18. 70
  19. 24
  20. 14
  21. 30
  22. 195
  23. 14
  24. 35
  25. 210
  26. 6
  27. 36
  28. 10
  29. 189
  30. 12
  31. 36
  32. 154
  33. 80
  34. 12
  35. 56
  36. 11
  37. 15
  38. 5
  39. 72
  40. 21

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