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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 903 · 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 6.
  2. 2.Find the LCM of 2, 11 and 7.
  3. 3.Find the LCM of 9, 12 and 10.
  4. 4.Find the HCF of 39 and 91.
  5. 5.Find the LCM of 15, 4 and 5.
  6. 6.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 40. What is the other number?
  7. 7.Find the LCM of 6, 11 and 3.
  8. 8.Find the LCM of 6, 3 and 10.
  9. 9.Find the LCM of 7 and 3.
  10. 10.Find the HCF of 60 and 108.
  11. 11.Find the LCM of 18 and 30.
  12. 12.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 35. What is the other number?
  13. 13.Find the LCM of 2, 6 and 12.
  14. 14.Find the LCM of 12, 13 and 6.
  15. 15.Find the HCF of 84 and 98.
  16. 16.Find the LCM of 3, 6 and 4.
  17. 17.Find the LCM of 6 and 4.
  18. 18.Find the LCM of 11, 5 and 4.
  19. 19.Find the LCM of 12 and 32.
  20. 20.Find the HCF of 36 and 60.
  21. 21.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  22. 22.Find the LCM of 6, 4 and 14.
  23. 23.Find the LCM of 10, 5 and 15.
  24. 24.Find the LCM of 3, 10 and 4.
  25. 25.Find the LCM of 16 and 6.
  26. 26.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 54. What is the other number?
  27. 27.Find the HCF of 56 and 126.
  28. 28.Find the HCF of 24 and 42.
  29. 29.Find the HCF of 32 and 36.
  30. 30.Find the HCF of 72 and 81.
  31. 31.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?
  32. 32.Find the HCF of 40 and 45.
  33. 33.Find the LCM of 7, 3 and 4.
  34. 34.Find the HCF of 50 and 60.
  35. 35.Find the LCM of 28 and 16.
  36. 36.Find the HCF of 56 and 16.
  37. 37.Find the LCM of 7, 14 and 9.
  38. 38.Find the LCM of 16 and 10.
  39. 39.Find the HCF of 30 and 36.
  40. 40.Find the LCM of 7, 6 and 4.

Answer key

  1. 42
  2. 154
  3. 180
  4. 13
  5. 60
  6. 64
  7. 66
  8. 30
  9. 21
  10. 12
  11. 90
  12. 28
  13. 12
  14. 156
  15. 14
  16. 12
  17. 12
  18. 220
  19. 96
  20. 12
  21. 12
  22. 84
  23. 30
  24. 60
  25. 48
  26. 48
  27. 14
  28. 6
  29. 4
  30. 9
  31. 8
  32. 5
  33. 84
  34. 10
  35. 112
  36. 8
  37. 126
  38. 80
  39. 6
  40. 84

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