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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 852 · 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 12, 13 and 4.
  2. 2.Find the LCM of 8, 9 and 12.
  3. 3.Find the HCF of 63 and 56.
  4. 4.Find the LCM of 12, 8 and 10.
  5. 5.Find the HCF of 27 and 18.
  6. 6.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  7. 7.Find the HCF of 65 and 39.
  8. 8.Find the LCM of 2, 15 and 12.
  9. 9.Find the LCM of 35 and 40.
  10. 10.Find the LCM of 14, 4 and 10.
  11. 11.Find the LCM of 2, 8 and 11.
  12. 12.Find the LCM of 15, 7 and 5.
  13. 13.Find the HCF of 54 and 48.
  14. 14.Find the LCM of 8 and 18.
  15. 15.Find the LCM of 16 and 10.
  16. 16.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  17. 17.Find the LCM of 13, 5 and 3.
  18. 18.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 24. What is the other number?
  19. 19.Find the LCM of 3, 6 and 5.
  20. 20.Find the HCF of 56 and 32.
  21. 21.Find the LCM of 6 and 27.
  22. 22.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 18. What is the other number?
  23. 23.Find the LCM of 21 and 27.
  24. 24.Find the LCM of 4 and 3.
  25. 25.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 72. What is the other number?
  26. 26.Find the LCM of 11, 4 and 6.
  27. 27.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 25. What is the other number?
  28. 28.Find the HCF of 8 and 28.
  29. 29.Find the LCM of 2, 3 and 6.
  30. 30.Find the HCF of 36 and 32.
  31. 31.Find the HCF of 18 and 42.
  32. 32.Find the LCM of 12, 15 and 9.
  33. 33.Find the LCM of 8, 14 and 3.
  34. 34.Find the LCM of 45 and 20.
  35. 35.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 56. What is the other number?
  36. 36.Find the LCM of 12 and 30.
  37. 37.Find the HCF of 24 and 27.
  38. 38.Find the LCM of 18 and 12.
  39. 39.Find the HCF of 16 and 20.
  40. 40.Find the LCM of 4, 13 and 8.

Answer key

  1. 156
  2. 72
  3. 7
  4. 120
  5. 9
  6. 9
  7. 13
  8. 60
  9. 280
  10. 140
  11. 88
  12. 105
  13. 6
  14. 72
  15. 80
  16. 24
  17. 195
  18. 28
  19. 30
  20. 8
  21. 54
  22. 30
  23. 189
  24. 12
  25. 64
  26. 132
  27. 45
  28. 4
  29. 6
  30. 4
  31. 6
  32. 180
  33. 168
  34. 180
  35. 64
  36. 60
  37. 3
  38. 36
  39. 4
  40. 104

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