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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 976 · 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 20 and 45.
  2. 2.Find the HCF of 18 and 30.
  3. 3.Find the HCF of 25 and 30.
  4. 4.Find the LCM of 25 and 10.
  5. 5.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 27. What is the other number?
  6. 6.Find the HCF of 27 and 45.
  7. 7.Find the LCM of 12 and 32.
  8. 8.Find the LCM of 2 and 7.
  9. 9.Find the HCF of 9 and 12.
  10. 10.Find the HCF of 60 and 45.
  11. 11.Find the LCM of 11, 5 and 3.
  12. 12.Find the LCM of 10 and 16.
  13. 13.Find the LCM of 6 and 7.
  14. 14.Find the HCF of 50 and 30.
  15. 15.Find the LCM of 35 and 15.
  16. 16.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?
  17. 17.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 21. What is the other number?
  18. 18.Find the LCM of 14, 7 and 8.
  19. 19.Find the LCM of 7, 10 and 6.
  20. 20.Find the LCM of 15, 6 and 12.
  21. 21.Find the LCM of 2, 10 and 5.
  22. 22.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 35. What is the other number?
  23. 23.Find the HCF of 80 and 30.
  24. 24.Find the LCM of 24 and 54.
  25. 25.Find the HCF of 6 and 4.
  26. 26.Find the HCF of 81 and 36.
  27. 27.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  28. 28.Find the LCM of 20 and 36.
  29. 29.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  30. 30.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  31. 31.Find the HCF of 75 and 135.
  32. 32.Find the LCM of 2, 10 and 9.
  33. 33.Find the LCM of 14, 15 and 5.
  34. 34.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  35. 35.Find the HCF of 63 and 45.
  36. 36.Find the LCM of 9 and 21.
  37. 37.Find the HCF of 28 and 24.
  38. 38.Find the LCM of 5, 10 and 3.
  39. 39.Find the LCM of 5, 14 and 4.
  40. 40.Find the LCM of 5 and 9.

Answer key

  1. 180
  2. 6
  3. 5
  4. 50
  5. 12
  6. 9
  7. 96
  8. 14
  9. 3
  10. 15
  11. 165
  12. 80
  13. 42
  14. 10
  15. 105
  16. 24
  17. 18
  18. 56
  19. 210
  20. 60
  21. 10
  22. 45
  23. 10
  24. 216
  25. 2
  26. 9
  27. 81
  28. 180
  29. 21
  30. 40
  31. 15
  32. 90
  33. 210
  34. 24
  35. 9
  36. 63
  37. 4
  38. 30
  39. 140
  40. 45

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