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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 732 · 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 and 3.
  2. 2.Find the HCF of 56 and 49.
  3. 3.Find the LCM of 9 and 4.
  4. 4.Find the LCM of 25 and 10.
  5. 5.Find the LCM of 2, 14 and 7.
  6. 6.Find the LCM of 11, 4 and 10.
  7. 7.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 10. What is the other number?
  8. 8.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?
  9. 9.Find the LCM of 2, 13 and 3.
  10. 10.Find the LCM of 8 and 12.
  11. 11.Find the HCF of 20 and 90.
  12. 12.Find the HCF of 39 and 26.
  13. 13.Find the HCF of 88 and 77.
  14. 14.Find the LCM of 5, 10 and 14.
  15. 15.Find the HCF of 12 and 20.
  16. 16.Find the LCM of 8 and 10.
  17. 17.Find the LCM of 4, 14 and 10.
  18. 18.Find the LCM of 15 and 25.
  19. 19.Find the LCM of 15, 14 and 3.
  20. 20.Find the LCM of 3, 6 and 11.
  21. 21.Find the LCM of 21 and 24.
  22. 22.Find the LCM of 14, 7 and 4.
  23. 23.Find the LCM of 13, 6 and 12.
  24. 24.Find the HCF of 90 and 70.
  25. 25.Find the LCM of 15 and 35.
  26. 26.Find the HCF of 40 and 48.
  27. 27.Find the HCF of 9 and 15.
  28. 28.Find the HCF of 8 and 20.
  29. 29.Find the LCM of 9, 15 and 12.
  30. 30.Find the HCF of 36 and 24.
  31. 31.Find the LCM of 7, 3 and 2.
  32. 32.Find the LCM of 5, 3 and 14.
  33. 33.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  34. 34.Find the LCM of 32 and 28.
  35. 35.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 72. What is the other number?
  36. 36.Find the HCF of 20 and 36.
  37. 37.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 45. What is the other number?
  38. 38.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 10. What is the other number?
  39. 39.Find the HCF of 55 and 44.
  40. 40.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 16. What is the other number?

Answer key

  1. 24
  2. 7
  3. 36
  4. 50
  5. 14
  6. 220
  7. 45
  8. 18
  9. 78
  10. 24
  11. 10
  12. 13
  13. 11
  14. 70
  15. 4
  16. 40
  17. 140
  18. 75
  19. 210
  20. 66
  21. 168
  22. 28
  23. 156
  24. 10
  25. 105
  26. 8
  27. 3
  28. 4
  29. 180
  30. 12
  31. 42
  32. 210
  33. 15
  34. 224
  35. 81
  36. 4
  37. 40
  38. 14
  39. 11
  40. 18

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