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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 716 · 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 21 and 9.
  2. 2.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 27. What is the other number?
  3. 3.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 24. What is the other number?
  4. 4.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  5. 5.Find the LCM of 4, 11 and 6.
  6. 6.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 28. What is the other number?
  7. 7.Find the LCM of 18 and 24.
  8. 8.Find the LCM of 12, 8 and 2.
  9. 9.Find the HCF of 108 and 96.
  10. 10.Find the LCM of 35 and 40.
  11. 11.Find the LCM of 10 and 14.
  12. 12.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  13. 13.Find the LCM of 3, 10 and 5.
  14. 14.Find the LCM of 5 and 2.
  15. 15.Find the LCM of 21 and 12.
  16. 16.Find the LCM of 16 and 12.
  17. 17.Find the LCM of 28 and 8.
  18. 18.Find the LCM of 2, 14 and 15.
  19. 19.Find the HCF of 60 and 45.
  20. 20.Find the LCM of 18 and 16.
  21. 21.Find the HCF of 42 and 18.
  22. 22.Find the HCF of 99 and 22.
  23. 23.Find the HCF of 44 and 33.
  24. 24.Find the HCF of 98 and 42.
  25. 25.Find the LCM of 15 and 10.
  26. 26.Find the LCM of 14, 2 and 15.
  27. 27.Find the HCF of 78 and 91.
  28. 28.Find the HCF of 70 and 42.
  29. 29.Find the HCF of 24 and 28.
  30. 30.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  31. 31.Find the LCM of 3, 13 and 12.
  32. 32.Find the HCF of 33 and 44.
  33. 33.Find the HCF of 22 and 33.
  34. 34.Find the LCM of 5, 4 and 12.
  35. 35.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 15. What is the other number?
  36. 36.Find the HCF of 35 and 45.
  37. 37.Find the LCM of 12 and 32.
  38. 38.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 63. What is the other number?
  39. 39.Find the LCM of 8, 2 and 3.
  40. 40.Find the HCF of 27 and 6.

Answer key

  1. 63
  2. 6
  3. 27
  4. 24
  5. 132
  6. 24
  7. 72
  8. 24
  9. 12
  10. 280
  11. 70
  12. 10
  13. 30
  14. 10
  15. 84
  16. 48
  17. 56
  18. 210
  19. 15
  20. 144
  21. 6
  22. 11
  23. 11
  24. 14
  25. 30
  26. 210
  27. 13
  28. 14
  29. 4
  30. 9
  31. 156
  32. 11
  33. 11
  34. 60
  35. 18
  36. 5
  37. 96
  38. 49
  39. 24
  40. 3

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