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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 175 · 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 5, 10 and 7.
  2. 2.Find the LCM of 21 and 6.
  3. 3.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 40. What is the other number?
  4. 4.Find the HCF of 50 and 30.
  5. 5.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 54. What is the other number?
  6. 6.Find the LCM of 10 and 18.
  7. 7.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  8. 8.Find the LCM of 45 and 20.
  9. 9.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 45. What is the other number?
  10. 10.Find the LCM of 13, 12 and 3.
  11. 11.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 18. What is the other number?
  12. 12.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  13. 13.Find the HCF of 56 and 48.
  14. 14.Find the HCF of 35 and 20.
  15. 15.Find the LCM of 6, 4 and 13.
  16. 16.Find the LCM of 30 and 24.
  17. 17.Find the HCF of 16 and 72.
  18. 18.Find the LCM of 15 and 18.
  19. 19.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  20. 20.Find the HCF of 25 and 10.
  21. 21.Find the HCF of 35 and 21.
  22. 22.Find the LCM of 3, 4 and 6.
  23. 23.Find the LCM of 30 and 54.
  24. 24.Find the HCF of 99 and 22.
  25. 25.Find the LCM of 4 and 10.
  26. 26.Find the LCM of 4 and 7.
  27. 27.Find the LCM of 15 and 9.
  28. 28.Find the LCM of 4, 11 and 6.
  29. 29.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  30. 30.Find the LCM of 10, 11 and 5.
  31. 31.Find the LCM of 30 and 48.
  32. 32.Find the LCM of 4, 15 and 10.
  33. 33.Find the LCM of 12, 14 and 4.
  34. 34.Find the LCM of 5, 6 and 4.
  35. 35.Find the HCF of 105 and 45.
  36. 36.Find the HCF of 56 and 126.
  37. 37.Find the LCM of 24 and 20.
  38. 38.Find the LCM of 6 and 27.
  39. 39.Find the HCF of 56 and 63.
  40. 40.Find the HCF of 78 and 65.

Answer key

  1. 70
  2. 42
  3. 72
  4. 10
  5. 42
  6. 90
  7. 20
  8. 180
  9. 81
  10. 156
  11. 45
  12. 15
  13. 8
  14. 5
  15. 156
  16. 120
  17. 8
  18. 90
  19. 21
  20. 5
  21. 7
  22. 12
  23. 270
  24. 11
  25. 20
  26. 28
  27. 45
  28. 132
  29. 6
  30. 110
  31. 240
  32. 60
  33. 84
  34. 60
  35. 15
  36. 14
  37. 120
  38. 54
  39. 7
  40. 13

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