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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 946 · 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 3, 8 and 7.
  2. 2.Find the LCM of 10 and 12.
  3. 3.Find the LCM of 13, 3 and 4.
  4. 4.Find the LCM of 5, 10 and 4.
  5. 5.Find the LCM of 25 and 45.
  6. 6.Find the LCM of 7 and 8.
  7. 7.Find the HCF of 80 and 70.
  8. 8.Find the LCM of 3, 6 and 4.
  9. 9.Find the LCM of 4, 2 and 12.
  10. 10.Find the LCM of 3, 2 and 4.
  11. 11.Find the LCM of 14 and 6.
  12. 12.Find the LCM of 9 and 2.
  13. 13.Find the HCF of 55 and 22.
  14. 14.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 36. What is the other number?
  15. 15.Find the LCM of 3, 12 and 13.
  16. 16.Find the LCM of 4, 2 and 8.
  17. 17.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?
  18. 18.Find the HCF of 90 and 105.
  19. 19.Find the LCM of 42 and 30.
  20. 20.Find the HCF of 104 and 65.
  21. 21.Find the LCM of 15, 4 and 3.
  22. 22.Find the LCM of 7, 6 and 2.
  23. 23.Find the HCF of 24 and 20.
  24. 24.Find the LCM of 3, 9 and 14.
  25. 25.Find the LCM of 6, 2 and 7.
  26. 26.Find the HCF of 77 and 44.
  27. 27.Find the LCM of 15, 6 and 5.
  28. 28.Find the LCM of 11, 4 and 12.
  29. 29.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 49. What is the other number?
  30. 30.Find the LCM of 15 and 35.
  31. 31.Find the LCM of 8 and 10.
  32. 32.Find the LCM of 15 and 9.
  33. 33.Find the LCM of 42 and 24.
  34. 34.Find the HCF of 21 and 6.
  35. 35.Find the LCM of 2 and 7.
  36. 36.Find the HCF of 27 and 12.
  37. 37.Find the LCM of 7 and 2.
  38. 38.Find the LCM of 3 and 5.
  39. 39.Find the LCM of 5 and 4.
  40. 40.Find the HCF of 105 and 45.

Answer key

  1. 168
  2. 60
  3. 156
  4. 20
  5. 225
  6. 56
  7. 10
  8. 12
  9. 12
  10. 12
  11. 42
  12. 18
  13. 11
  14. 20
  15. 156
  16. 8
  17. 20
  18. 15
  19. 210
  20. 13
  21. 60
  22. 42
  23. 4
  24. 126
  25. 42
  26. 11
  27. 30
  28. 132
  29. 21
  30. 105
  31. 40
  32. 45
  33. 168
  34. 3
  35. 14
  36. 3
  37. 14
  38. 15
  39. 20
  40. 15

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