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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 751 · 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 9, 10 and 3.
  2. 2.Find the HCF of 24 and 28.
  3. 3.Find the HCF of 44 and 33.
  4. 4.Find the LCM of 15 and 6.
  5. 5.Find the LCM of 2, 15 and 10.
  6. 6.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 72. What is the other number?
  7. 7.Find the LCM of 20 and 12.
  8. 8.Find the LCM of 4, 3 and 12.
  9. 9.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 21. What is the other number?
  10. 10.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 81. What is the other number?
  11. 11.Find the HCF of 27 and 72.
  12. 12.Find the LCM of 2 and 3.
  13. 13.Find the LCM of 8, 6 and 9.
  14. 14.Find the LCM of 2, 12 and 14.
  15. 15.Find the HCF of 64 and 40.
  16. 16.Find the LCM of 35 and 10.
  17. 17.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 72. What is the other number?
  18. 18.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 35. What is the other number?
  19. 19.Find the HCF of 28 and 70.
  20. 20.Find the LCM of 8 and 12.
  21. 21.Find the LCM of 5 and 2.
  22. 22.Find the LCM of 3, 6 and 11.
  23. 23.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 63. What is the other number?
  24. 24.Find the LCM of 11, 10 and 2.
  25. 25.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  26. 26.Find the HCF of 98 and 126.
  27. 27.Find the LCM of 15 and 18.
  28. 28.Find the HCF of 21 and 24.
  29. 29.Find the LCM of 10, 14 and 3.
  30. 30.Find the LCM of 6, 13 and 2.
  31. 31.Find the HCF of 8 and 10.
  32. 32.Find the LCM of 8, 3 and 7.
  33. 33.Find the HCF of 33 and 22.
  34. 34.Find the LCM of 12 and 18.
  35. 35.Find the HCF of 22 and 33.
  36. 36.Find the LCM of 8 and 9.
  37. 37.Find the LCM of 12 and 10.
  38. 38.Find the LCM of 7, 8 and 4.
  39. 39.Find the LCM of 13, 2 and 14.
  40. 40.Find the LCM of 4, 6 and 7.

Answer key

  1. 90
  2. 4
  3. 11
  4. 30
  5. 30
  6. 27
  7. 60
  8. 12
  9. 56
  10. 36
  11. 9
  12. 6
  13. 72
  14. 84
  15. 8
  16. 70
  17. 32
  18. 21
  19. 14
  20. 24
  21. 10
  22. 66
  23. 14
  24. 110
  25. 14
  26. 14
  27. 90
  28. 3
  29. 210
  30. 78
  31. 2
  32. 168
  33. 11
  34. 36
  35. 11
  36. 72
  37. 60
  38. 56
  39. 182
  40. 84

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