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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 807 · 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 4, 10 and 12.
  2. 2.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 40. What is the other number?
  3. 3.Find the LCM of 2, 10 and 4.
  4. 4.Find the LCM of 2, 5 and 13.
  5. 5.Find the HCF of 84 and 108.
  6. 6.Find the LCM of 2, 3 and 5.
  7. 7.Find the HCF of 35 and 21.
  8. 8.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  9. 9.Find the HCF of 25 and 30.
  10. 10.Find the HCF of 63 and 18.
  11. 11.Find the LCM of 3, 10 and 2.
  12. 12.Find the LCM of 16 and 36.
  13. 13.Find the LCM of 10, 2 and 13.
  14. 14.Find the LCM of 8, 5 and 3.
  15. 15.Find the LCM of 10 and 25.
  16. 16.Find the LCM of 2, 14 and 9.
  17. 17.Find the LCM of 36 and 20.
  18. 18.Find the HCF of 40 and 50.
  19. 19.Find the LCM of 2, 7 and 15.
  20. 20.Find the HCF of 77 and 33.
  21. 21.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 30. What is the other number?
  22. 22.Find the LCM of 54 and 30.
  23. 23.Find the HCF of 30 and 12.
  24. 24.Find the LCM of 2, 14 and 15.
  25. 25.Find the LCM of 21 and 27.
  26. 26.Find the LCM of 5, 6 and 7.
  27. 27.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 35. What is the other number?
  28. 28.Find the LCM of 13, 2 and 3.
  29. 29.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  30. 30.Find the LCM of 10 and 35.
  31. 31.Find the LCM of 5, 8 and 4.
  32. 32.Find the LCM of 20 and 25.
  33. 33.Find the HCF of 49 and 14.
  34. 34.Find the HCF of 12 and 54.
  35. 35.Find the LCM of 13, 6 and 4.
  36. 36.Find the HCF of 12 and 16.
  37. 37.Find the LCM of 28 and 12.
  38. 38.Find the LCM of 4, 5 and 12.
  39. 39.Find the LCM of 12, 4 and 10.
  40. 40.Find the HCF of 135 and 105.

Answer key

  1. 60
  2. 25
  3. 20
  4. 130
  5. 12
  6. 30
  7. 7
  8. 40
  9. 5
  10. 9
  11. 30
  12. 144
  13. 130
  14. 120
  15. 50
  16. 126
  17. 180
  18. 10
  19. 210
  20. 11
  21. 25
  22. 270
  23. 6
  24. 210
  25. 189
  26. 210
  27. 49
  28. 78
  29. 14
  30. 70
  31. 40
  32. 100
  33. 7
  34. 6
  35. 156
  36. 4
  37. 84
  38. 60
  39. 60
  40. 15

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