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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 791 · 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 6, 2 and 14.
  2. 2.Find the LCM of 12 and 27.
  3. 3.Find the LCM of 48 and 18.
  4. 4.Find the LCM of 14, 8 and 2.
  5. 5.Find the HCF of 91 and 104.
  6. 6.Find the LCM of 15 and 25.
  7. 7.Find the LCM of 10, 6 and 14.
  8. 8.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 28. What is the other number?
  9. 9.Find the LCM of 15, 2 and 3.
  10. 10.Find the HCF of 108 and 96.
  11. 11.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  12. 12.Find the LCM of 10, 5 and 12.
  13. 13.Find the LCM of 3 and 5.
  14. 14.Find the LCM of 18 and 24.
  15. 15.Find the LCM of 28 and 12.
  16. 16.Find the LCM of 2, 5 and 14.
  17. 17.Find the LCM of 4, 5 and 2.
  18. 18.Find the LCM of 2, 11 and 9.
  19. 19.Find the LCM of 2, 7 and 5.
  20. 20.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  21. 21.Find the HCF of 21 and 6.
  22. 22.Find the LCM of 14, 5 and 6.
  23. 23.Find the LCM of 6 and 15.
  24. 24.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 63. What is the other number?
  25. 25.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  26. 26.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 15. What is the other number?
  27. 27.Find the HCF of 35 and 40.
  28. 28.Find the LCM of 7 and 8.
  29. 29.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 48. What is the other number?
  30. 30.Find the HCF of 14 and 18.
  31. 31.Find the HCF of 55 and 33.
  32. 32.Find the LCM of 9 and 8.
  33. 33.Find the HCF of 45 and 54.
  34. 34.Find the HCF of 40 and 64.
  35. 35.Find the LCM of 54 and 42.
  36. 36.Find the LCM of 6, 12 and 4.
  37. 37.Find the HCF of 30 and 80.
  38. 38.Find the LCM of 18 and 48.
  39. 39.Find the LCM of 10 and 18.
  40. 40.Find the HCF of 44 and 33.

Answer key

  1. 42
  2. 108
  3. 144
  4. 56
  5. 13
  6. 75
  7. 210
  8. 20
  9. 30
  10. 12
  11. 12
  12. 60
  13. 15
  14. 72
  15. 84
  16. 70
  17. 20
  18. 198
  19. 70
  20. 15
  21. 3
  22. 210
  23. 30
  24. 54
  25. 81
  26. 35
  27. 5
  28. 56
  29. 40
  30. 2
  31. 11
  32. 72
  33. 9
  34. 8
  35. 378
  36. 12
  37. 10
  38. 144
  39. 90
  40. 11

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