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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 206 · 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 28.
  2. 2.Find the LCM of 18 and 10.
  3. 3.Find the LCM of 20 and 16.
  4. 4.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 20. What is the other number?
  5. 5.Find the HCF of 16 and 20.
  6. 6.Find the HCF of 6 and 15.
  7. 7.Find the HCF of 98 and 70.
  8. 8.Find the LCM of 25 and 35.
  9. 9.Find the LCM of 2, 14 and 4.
  10. 10.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 10. What is the other number?
  11. 11.Find the HCF of 8 and 14.
  12. 12.Find the LCM of 32 and 28.
  13. 13.Find the LCM of 4, 10 and 12.
  14. 14.Find the LCM of 6, 13 and 3.
  15. 15.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  16. 16.Find the LCM of 6, 7 and 4.
  17. 17.Find the HCF of 30 and 54.
  18. 18.Find the HCF of 20 and 50.
  19. 19.Find the LCM of 20 and 15.
  20. 20.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 63. What is the other number?
  21. 21.Find the LCM of 7 and 5.
  22. 22.Find the LCM of 35 and 45.
  23. 23.Find the LCM of 2, 8 and 11.
  24. 24.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 42. What is the other number?
  25. 25.Find the HCF of 40 and 25.
  26. 26.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 32. What is the other number?
  27. 27.Find the LCM of 10, 12 and 3.
  28. 28.Find the LCM of 15, 6 and 4.
  29. 29.Find the HCF of 112 and 42.
  30. 30.Find the LCM of 8 and 18.
  31. 31.Find the HCF of 35 and 15.
  32. 32.Find the LCM of 7 and 2.
  33. 33.Find the HCF of 20 and 90.
  34. 34.Find the HCF of 75 and 135.
  35. 35.Find the LCM of 2, 9 and 15.
  36. 36.Find the LCM of 3 and 8.
  37. 37.Find the HCF of 40 and 70.
  38. 38.Find the LCM of 11, 5 and 15.
  39. 39.Find the LCM of 8, 10 and 2.
  40. 40.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 21. What is the other number?

Answer key

  1. 112
  2. 90
  3. 80
  4. 45
  5. 4
  6. 3
  7. 14
  8. 175
  9. 28
  10. 14
  11. 2
  12. 224
  13. 60
  14. 78
  15. 36
  16. 84
  17. 6
  18. 10
  19. 60
  20. 27
  21. 35
  22. 315
  23. 88
  24. 48
  25. 5
  26. 20
  27. 60
  28. 60
  29. 14
  30. 72
  31. 5
  32. 14
  33. 10
  34. 15
  35. 90
  36. 24
  37. 10
  38. 165
  39. 40
  40. 49

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