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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 370 · 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 27.
  2. 2.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 27. What is the other number?
  3. 3.Find the LCM of 14, 12 and 8.
  4. 4.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 8. What is the other number?
  5. 5.Find the HCF of 49 and 42.
  6. 6.Find the LCM of 15 and 35.
  7. 7.Find the LCM of 12, 9 and 15.
  8. 8.Find the HCF of 28 and 49.
  9. 9.Find the HCF of 27 and 15.
  10. 10.Find the LCM of 7, 4 and 14.
  11. 11.Find the LCM of 12, 15 and 6.
  12. 12.Find the LCM of 3, 5 and 12.
  13. 13.Find the HCF of 15 and 20.
  14. 14.Find the LCM of 5, 14 and 2.
  15. 15.Find the HCF of 18 and 48.
  16. 16.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?
  17. 17.Find the LCM of 13, 6 and 4.
  18. 18.Find the LCM of 18 and 8.
  19. 19.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 72. What is the other number?
  20. 20.Find the LCM of 3 and 8.
  21. 21.Find the HCF of 14 and 63.
  22. 22.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  23. 23.Find the HCF of 65 and 78.
  24. 24.Find the LCM of 12, 9 and 2.
  25. 25.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 36. What is the other number?
  26. 26.Find the LCM of 35 and 45.
  27. 27.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  28. 28.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  29. 29.Find the LCM of 9 and 15.
  30. 30.Find the HCF of 27 and 63.
  31. 31.Find the LCM of 24 and 9.
  32. 32.Find the LCM of 10 and 15.
  33. 33.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 48. What is the other number?
  34. 34.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 35. What is the other number?
  35. 35.Find the LCM of 10, 15 and 2.
  36. 36.Find the HCF of 40 and 72.
  37. 37.Find the LCM of 7, 8 and 6.
  38. 38.Find the HCF of 135 and 60.
  39. 39.Find the HCF of 50 and 20.
  40. 40.Find the LCM of 6 and 21.

Answer key

  1. 189
  2. 63
  3. 168
  4. 18
  5. 7
  6. 105
  7. 180
  8. 7
  9. 3
  10. 28
  11. 60
  12. 60
  13. 5
  14. 70
  15. 6
  16. 8
  17. 156
  18. 72
  19. 32
  20. 24
  21. 7
  22. 18
  23. 13
  24. 36
  25. 20
  26. 315
  27. 24
  28. 24
  29. 45
  30. 9
  31. 72
  32. 30
  33. 18
  34. 49
  35. 30
  36. 8
  37. 168
  38. 15
  39. 10
  40. 42

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