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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 515 · 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 3, 2 and 9.
  2. 2.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  3. 3.Find the LCM of 2, 14 and 6.
  4. 4.Find the LCM of 2, 12 and 8.
  5. 5.Find the LCM of 11, 4 and 3.
  6. 6.Find the LCM of 18 and 4.
  7. 7.Find the HCF of 35 and 10.
  8. 8.Find the HCF of 24 and 32.
  9. 9.Find the HCF of 90 and 80.
  10. 10.Find the HCF of 52 and 65.
  11. 11.Find the LCM of 9, 15 and 4.
  12. 12.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  13. 13.Find the LCM of 18 and 24.
  14. 14.Find the LCM of 3, 2 and 4.
  15. 15.Find the HCF of 18 and 45.
  16. 16.Find the LCM of 3, 9 and 6.
  17. 17.Find the HCF of 28 and 12.
  18. 18.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 54. What is the other number?
  19. 19.Find the LCM of 16 and 36.
  20. 20.Find the LCM of 3, 9 and 2.
  21. 21.Find the LCM of 12, 13 and 6.
  22. 22.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 48. What is the other number?
  23. 23.Find the HCF of 16 and 72.
  24. 24.Find the LCM of 4 and 3.
  25. 25.Find the HCF of 16 and 56.
  26. 26.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 9. What is the other number?
  27. 27.Find the HCF of 14 and 10.
  28. 28.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 20. What is the other number?
  29. 29.Find the LCM of 21 and 6.
  30. 30.Find the LCM of 12 and 54.
  31. 31.Find the LCM of 3, 12 and 9.
  32. 32.Find the LCM of 4, 10 and 11.
  33. 33.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 36. What is the other number?
  34. 34.Find the LCM of 54 and 48.
  35. 35.Find the HCF of 28 and 20.
  36. 36.Find the LCM of 8, 2 and 9.
  37. 37.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
  38. 38.Find the LCM of 54 and 42.
  39. 39.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 20. What is the other number?
  40. 40.Find the HCF of 36 and 24.

Answer key

  1. 18
  2. 9
  3. 42
  4. 24
  5. 132
  6. 36
  7. 5
  8. 8
  9. 10
  10. 13
  11. 180
  12. 10
  13. 72
  14. 12
  15. 9
  16. 18
  17. 4
  18. 24
  19. 144
  20. 18
  21. 156
  22. 54
  23. 8
  24. 12
  25. 8
  26. 21
  27. 2
  28. 28
  29. 42
  30. 108
  31. 36
  32. 220
  33. 28
  34. 432
  35. 4
  36. 72
  37. 15
  38. 378
  39. 36
  40. 12

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