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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 289 · 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 HCF of 12 and 20.
  2. 2.Find the LCM of 18 and 48.
  3. 3.Find the HCF of 65 and 91.
  4. 4.Find the HCF of 117 and 65.
  5. 5.Find the LCM of 8, 12 and 3.
  6. 6.Find the LCM of 9, 15 and 12.
  7. 7.Find the HCF of 54 and 12.
  8. 8.Find the LCM of 9, 3 and 12.
  9. 9.Find the LCM of 9 and 8.
  10. 10.Find the LCM of 9, 10 and 6.
  11. 11.Find the HCF of 63 and 49.
  12. 12.Find the LCM of 15, 3 and 5.
  13. 13.Find the LCM of 15 and 25.
  14. 14.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  15. 15.Find the LCM of 5 and 9.
  16. 16.Find the LCM of 15, 2 and 10.
  17. 17.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 28. What is the other number?
  18. 18.Find the LCM of 10 and 12.
  19. 19.Find the LCM of 9 and 15.
  20. 20.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 48. What is the other number?
  21. 21.Find the LCM of 12 and 27.
  22. 22.Find the HCF of 22 and 77.
  23. 23.Find the LCM of 12 and 15.
  24. 24.Find the HCF of 20 and 24.
  25. 25.Find the LCM of 30 and 54.
  26. 26.Find the HCF of 21 and 9.
  27. 27.Find the HCF of 117 and 52.
  28. 28.Find the LCM of 5 and 4.
  29. 29.Find the HCF of 35 and 20.
  30. 30.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 42. What is the other number?
  31. 31.Find the LCM of 3, 4 and 11.
  32. 32.Find the HCF of 88 and 33.
  33. 33.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 35. What is the other number?
  34. 34.Find the HCF of 15 and 25.
  35. 35.Find the LCM of 14, 7 and 3.
  36. 36.Find the LCM of 20 and 15.
  37. 37.Find the LCM of 14 and 4.
  38. 38.Find the LCM of 28 and 16.
  39. 39.Find the LCM of 25 and 10.
  40. 40.Find the LCM of 3, 12 and 4.

Answer key

  1. 4
  2. 144
  3. 13
  4. 13
  5. 24
  6. 180
  7. 6
  8. 36
  9. 72
  10. 90
  11. 7
  12. 15
  13. 75
  14. 15
  15. 45
  16. 30
  17. 32
  18. 60
  19. 45
  20. 40
  21. 108
  22. 11
  23. 60
  24. 4
  25. 270
  26. 3
  27. 13
  28. 20
  29. 5
  30. 49
  31. 132
  32. 11
  33. 45
  34. 5
  35. 42
  36. 60
  37. 28
  38. 112
  39. 50
  40. 12

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