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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 840 · 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 and 4.
  2. 2.Find the LCM of 5, 7 and 3.
  3. 3.Find the HCF of 72 and 45.
  4. 4.Find the LCM of 12 and 9.
  5. 5.Find the LCM of 28 and 8.
  6. 6.Find the HCF of 4 and 6.
  7. 7.Find the LCM of 7 and 8.
  8. 8.Find the LCM of 18 and 30.
  9. 9.Find the HCF of 39 and 52.
  10. 10.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 18. What is the other number?
  11. 11.Find the LCM of 3 and 5.
  12. 12.Find the LCM of 20 and 8.
  13. 13.Find the LCM of 15, 9 and 6.
  14. 14.Find the HCF of 20 and 12.
  15. 15.Find the HCF of 6 and 14.
  16. 16.Find the LCM of 30 and 25.
  17. 17.Find the LCM of 7, 8 and 4.
  18. 18.Find the HCF of 36 and 20.
  19. 19.Find the HCF of 14 and 8.
  20. 20.Find the LCM of 5, 13 and 10.
  21. 21.Find the LCM of 12, 4 and 9.
  22. 22.Find the LCM of 7 and 9.
  23. 23.Find the HCF of 70 and 40.
  24. 24.Find the LCM of 24 and 18.
  25. 25.Find the LCM of 3, 14 and 7.
  26. 26.Find the LCM of 4, 11 and 5.
  27. 27.Find the HCF of 96 and 60.
  28. 28.Find the HCF of 18 and 16.
  29. 29.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  30. 30.Find the HCF of 56 and 24.
  31. 31.Find the LCM of 45 and 20.
  32. 32.Find the LCM of 32 and 28.
  33. 33.Find the HCF of 40 and 50.
  34. 34.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 35. What is the other number?
  35. 35.Find the LCM of 3, 13 and 4.
  36. 36.Find the LCM of 6, 10 and 2.
  37. 37.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  38. 38.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?
  39. 39.Find the LCM of 6, 3 and 5.
  40. 40.Find the HCF of 24 and 84.

Answer key

  1. 12
  2. 105
  3. 9
  4. 36
  5. 56
  6. 2
  7. 56
  8. 90
  9. 13
  10. 63
  11. 15
  12. 40
  13. 90
  14. 4
  15. 2
  16. 150
  17. 56
  18. 4
  19. 2
  20. 130
  21. 36
  22. 63
  23. 10
  24. 72
  25. 42
  26. 220
  27. 12
  28. 2
  29. 15
  30. 8
  31. 180
  32. 224
  33. 10
  34. 30
  35. 156
  36. 30
  37. 63
  38. 24
  39. 30
  40. 12

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