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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 960 · 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 28 and 16.
  2. 2.Find the LCM of 8 and 10.
  3. 3.Find the HCF of 36 and 48.
  4. 4.Find the HCF of 6 and 4.
  5. 5.Find the LCM of 15, 10 and 9.
  6. 6.Find the LCM of 3, 7 and 15.
  7. 7.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  8. 8.Find the LCM of 11, 3 and 9.
  9. 9.Find the LCM of 11, 3 and 7.
  10. 10.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 36. What is the other number?
  11. 11.Find the LCM of 25 and 10.
  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 HCF of 33 and 88.
  14. 14.Find the LCM of 6, 3 and 13.
  15. 15.Find the HCF of 48 and 60.
  16. 16.Find the LCM of 12 and 8.
  17. 17.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  18. 18.Find the LCM of 12, 4 and 6.
  19. 19.Find the LCM of 4, 7 and 3.
  20. 20.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  21. 21.Find the LCM of 5, 15 and 7.
  22. 22.Find the LCM of 2, 11 and 8.
  23. 23.Find the HCF of 56 and 126.
  24. 24.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  25. 25.Find the HCF of 18 and 16.
  26. 26.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 32. What is the other number?
  27. 27.Find the HCF of 45 and 30.
  28. 28.Find the LCM of 2, 4 and 11.
  29. 29.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 72. What is the other number?
  30. 30.Find the LCM of 14, 4 and 5.
  31. 31.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  32. 32.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  33. 33.Find the HCF of 45 and 105.
  34. 34.Find the LCM of 12, 14 and 4.
  35. 35.Find the LCM of 45 and 25.
  36. 36.Find the LCM of 7 and 6.
  37. 37.Find the LCM of 2, 12 and 8.
  38. 38.Find the LCM of 6, 12 and 14.
  39. 39.Find the LCM of 12, 5 and 10.
  40. 40.Find the LCM of 6, 3 and 8.

Answer key

  1. 112
  2. 40
  3. 12
  4. 2
  5. 90
  6. 105
  7. 14
  8. 99
  9. 231
  10. 16
  11. 50
  12. 20
  13. 11
  14. 78
  15. 12
  16. 24
  17. 81
  18. 12
  19. 84
  20. 40
  21. 105
  22. 88
  23. 14
  24. 18
  25. 2
  26. 40
  27. 15
  28. 44
  29. 27
  30. 140
  31. 18
  32. 4
  33. 15
  34. 84
  35. 225
  36. 42
  37. 24
  38. 84
  39. 60
  40. 24

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