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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 237 · 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 4 and 14.
  2. 2.Find the LCM of 3, 5 and 2.
  3. 3.Find the LCM of 3, 10 and 14.
  4. 4.Find the LCM of 4, 13 and 8.
  5. 5.Find the LCM of 36 and 28.
  6. 6.Find the LCM of 15, 3 and 5.
  7. 7.Find the HCF of 27 and 72.
  8. 8.Find the LCM of 6 and 16.
  9. 9.Find the HCF of 70 and 40.
  10. 10.Find the LCM of 7, 14 and 6.
  11. 11.Find the LCM of 3 and 8.
  12. 12.Find the HCF of 30 and 75.
  13. 13.Find the HCF of 117 and 91.
  14. 14.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?
  15. 15.Find the HCF of 36 and 96.
  16. 16.Find the HCF of 28 and 98.
  17. 17.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  18. 18.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  19. 19.Find the HCF of 18 and 8.
  20. 20.Find the HCF of 42 and 35.
  21. 21.Find the LCM of 6, 7 and 2.
  22. 22.Find the HCF of 72 and 16.
  23. 23.Find the LCM of 7, 5 and 6.
  24. 24.Find the LCM of 30 and 54.
  25. 25.Find the HCF of 15 and 35.
  26. 26.Find the LCM of 4, 6 and 15.
  27. 27.Find the HCF of 75 and 60.
  28. 28.Find the LCM of 18 and 48.
  29. 29.Find the LCM of 8, 5 and 2.
  30. 30.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  31. 31.Find the LCM of 3, 15 and 5.
  32. 32.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 15. What is the other number?
  33. 33.Find the HCF of 36 and 24.
  34. 34.Find the HCF of 40 and 35.
  35. 35.Find the HCF of 28 and 8.
  36. 36.Find the HCF of 60 and 50.
  37. 37.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 35. What is the other number?
  38. 38.Find the HCF of 28 and 35.
  39. 39.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 10. What is the other number?
  40. 40.Find the LCM of 36 and 32.

Answer key

  1. 28
  2. 30
  3. 210
  4. 104
  5. 252
  6. 15
  7. 9
  8. 48
  9. 10
  10. 42
  11. 24
  12. 15
  13. 13
  14. 40
  15. 12
  16. 14
  17. 12
  18. 40
  19. 2
  20. 7
  21. 42
  22. 8
  23. 210
  24. 270
  25. 5
  26. 60
  27. 15
  28. 144
  29. 40
  30. 12
  31. 15
  32. 27
  33. 12
  34. 5
  35. 4
  36. 10
  37. 14
  38. 7
  39. 25
  40. 288

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