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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 223 · 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 8, 3 and 14.
  2. 2.Find the LCM of 2, 10 and 15.
  3. 3.Find the LCM of 9, 4 and 2.
  4. 4.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 64. What is the other number?
  5. 5.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  6. 6.Find the LCM of 36 and 32.
  7. 7.Find the HCF of 26 and 91.
  8. 8.Find the LCM of 18 and 4.
  9. 9.Find the HCF of 45 and 10.
  10. 10.Find the HCF of 72 and 16.
  11. 11.Find the LCM of 21 and 15.
  12. 12.Find the HCF of 45 and 27.
  13. 13.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  14. 14.Find the LCM of 4, 5 and 6.
  15. 15.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 49. What is the other number?
  16. 16.Find the HCF of 63 and 18.
  17. 17.Find the HCF of 52 and 65.
  18. 18.Find the LCM of 7 and 8.
  19. 19.Find the LCM of 7, 5 and 4.
  20. 20.Find the HCF of 105 and 45.
  21. 21.Find the LCM of 13, 12 and 4.
  22. 22.Find the LCM of 8 and 5.
  23. 23.Find the LCM of 48 and 18.
  24. 24.Find the HCF of 75 and 60.
  25. 25.Find the LCM of 12 and 32.
  26. 26.Find the LCM of 4 and 6.
  27. 27.Find the LCM of 42 and 36.
  28. 28.Find the LCM of 12, 6 and 10.
  29. 29.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
  30. 30.Find the LCM of 4, 12 and 6.
  31. 31.Find the LCM of 4, 2 and 9.
  32. 32.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  33. 33.Find the HCF of 14 and 21.
  34. 34.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 32. What is the other number?
  35. 35.Find the HCF of 91 and 104.
  36. 36.Find the HCF of 20 and 70.
  37. 37.Find the LCM of 3, 14 and 10.
  38. 38.Find the LCM of 2, 15 and 7.
  39. 39.Find the LCM of 2, 14 and 15.
  40. 40.Find the HCF of 21 and 56.

Answer key

  1. 168
  2. 30
  3. 36
  4. 72
  5. 4
  6. 288
  7. 13
  8. 36
  9. 5
  10. 8
  11. 105
  12. 9
  13. 16
  14. 60
  15. 42
  16. 9
  17. 13
  18. 56
  19. 140
  20. 15
  21. 156
  22. 40
  23. 144
  24. 15
  25. 96
  26. 12
  27. 252
  28. 60
  29. 15
  30. 12
  31. 36
  32. 14
  33. 7
  34. 28
  35. 13
  36. 10
  37. 210
  38. 210
  39. 210
  40. 7

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