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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 48 · 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 16 and 36.
  2. 2.Find the LCM of 4, 11 and 8.
  3. 3.Find the LCM of 18 and 48.
  4. 4.Find the LCM of 6 and 14.
  5. 5.Find the LCM of 20 and 25.
  6. 6.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 12. What is the other number?
  7. 7.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  8. 8.Find the HCF of 16 and 40.
  9. 9.Find the LCM of 42 and 48.
  10. 10.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 18. What is the other number?
  11. 11.Find the LCM of 2, 4 and 12.
  12. 12.Find the HCF of 98 and 112.
  13. 13.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  14. 14.Find the LCM of 32 and 20.
  15. 15.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 54. What is the other number?
  16. 16.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  17. 17.Find the LCM of 6, 8 and 3.
  18. 18.Find the LCM of 10, 3 and 12.
  19. 19.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  20. 20.Find the HCF of 8 and 18.
  21. 21.Find the HCF of 30 and 20.
  22. 22.Find the LCM of 12, 10 and 3.
  23. 23.Find the LCM of 2, 7 and 3.
  24. 24.Find the LCM of 16 and 6.
  25. 25.Find the HCF of 15 and 10.
  26. 26.Find the LCM of 8, 4 and 2.
  27. 27.Find the LCM of 13, 3 and 5.
  28. 28.Find the LCM of 4, 2 and 7.
  29. 29.Find the HCF of 70 and 42.
  30. 30.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 21. What is the other number?
  31. 31.Find the HCF of 20 and 70.
  32. 32.Find the HCF of 22 and 99.
  33. 33.Find the HCF of 120 and 45.
  34. 34.Find the LCM of 3 and 7.
  35. 35.Find the HCF of 40 and 70.
  36. 36.Find the LCM of 25 and 35.
  37. 37.Find the HCF of 91 and 104.
  38. 38.Find the LCM of 8, 15 and 6.
  39. 39.Find the LCM of 27 and 15.
  40. 40.Find the LCM of 10, 15 and 2.

Answer key

  1. 144
  2. 88
  3. 144
  4. 42
  5. 100
  6. 54
  7. 18
  8. 8
  9. 336
  10. 42
  11. 12
  12. 14
  13. 4
  14. 160
  15. 24
  16. 18
  17. 24
  18. 60
  19. 6
  20. 2
  21. 10
  22. 60
  23. 42
  24. 48
  25. 5
  26. 8
  27. 195
  28. 28
  29. 14
  30. 27
  31. 10
  32. 11
  33. 15
  34. 21
  35. 10
  36. 175
  37. 13
  38. 120
  39. 135
  40. 30

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