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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 569 · 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.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  2. 2.Find the LCM of 15, 3 and 7.
  3. 3.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
  4. 4.Find the LCM of 6, 8 and 10.
  5. 5.Find the LCM of 5 and 6.
  6. 6.Find the LCM of 6, 3 and 11.
  7. 7.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 15. What is the other number?
  8. 8.Find the HCF of 27 and 18.
  9. 9.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 35. What is the other number?
  10. 10.Find the HCF of 45 and 63.
  11. 11.Find the LCM of 20 and 25.
  12. 12.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  13. 13.Find the LCM of 18 and 30.
  14. 14.Find the LCM of 7, 10 and 6.
  15. 15.Find the HCF of 18 and 81.
  16. 16.Find the LCM of 6, 14 and 4.
  17. 17.Find the LCM of 9 and 5.
  18. 18.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 28. What is the other number?
  19. 19.Find the LCM of 48 and 30.
  20. 20.Find the LCM of 15 and 25.
  21. 21.Find the HCF of 104 and 117.
  22. 22.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 24. What is the other number?
  23. 23.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 10. What is the other number?
  24. 24.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  25. 25.Find the LCM of 2, 4 and 3.
  26. 26.Find the LCM of 54 and 30.
  27. 27.Find the HCF of 60 and 72.
  28. 28.Find the LCM of 5, 13 and 3.
  29. 29.Find the LCM of 12, 13 and 4.
  30. 30.Find the HCF of 42 and 24.
  31. 31.Find the HCF of 48 and 42.
  32. 32.Find the HCF of 10 and 15.
  33. 33.Find the HCF of 91 and 65.
  34. 34.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 12. What is the other number?
  35. 35.Find the HCF of 26 and 91.
  36. 36.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 25. What is the other number?
  37. 37.Find the HCF of 6 and 15.
  38. 38.Find the LCM of 12, 10 and 6.
  39. 39.Find the LCM of 4 and 18.
  40. 40.Find the LCM of 13, 3 and 4.

Answer key

  1. 6
  2. 105
  3. 9
  4. 120
  5. 30
  6. 66
  7. 27
  8. 9
  9. 45
  10. 9
  11. 100
  12. 10
  13. 90
  14. 210
  15. 9
  16. 84
  17. 45
  18. 12
  19. 240
  20. 75
  21. 13
  22. 27
  23. 8
  24. 40
  25. 12
  26. 270
  27. 12
  28. 195
  29. 156
  30. 6
  31. 6
  32. 5
  33. 13
  34. 16
  35. 13
  36. 20
  37. 3
  38. 60
  39. 36
  40. 156

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