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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 598 · 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 45 and 40.
  2. 2.Find the LCM of 2, 5 and 13.
  3. 3.Find the LCM of 30 and 48.
  4. 4.Find the LCM of 2, 13 and 7.
  5. 5.Find the LCM of 18 and 10.
  6. 6.Find the LCM of 7, 8 and 12.
  7. 7.Find the LCM of 30 and 18.
  8. 8.Find the LCM of 25 and 15.
  9. 9.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 40. What is the other number?
  10. 10.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 28. What is the other number?
  11. 11.Find the LCM of 12, 2 and 4.
  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 HCF of 49 and 14.
  14. 14.Find the HCF of 81 and 72.
  15. 15.Find the HCF of 40 and 72.
  16. 16.Find the LCM of 14 and 16.
  17. 17.Find the LCM of 20 and 24.
  18. 18.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 63. What is the other number?
  19. 19.Find the LCM of 10 and 15.
  20. 20.Find the LCM of 4, 8 and 3.
  21. 21.Find the LCM of 3 and 8.
  22. 22.Find the LCM of 4 and 9.
  23. 23.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 21. What is the other number?
  24. 24.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 9. What is the other number?
  25. 25.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  26. 26.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 49. What is the other number?
  27. 27.Find the LCM of 18 and 16.
  28. 28.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 56. What is the other number?
  29. 29.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 64. What is the other number?
  30. 30.Find the LCM of 10 and 8.
  31. 31.Find the LCM of 3, 4 and 15.
  32. 32.Find the HCF of 10 and 45.
  33. 33.Find the HCF of 21 and 14.
  34. 34.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 56. What is the other number?
  35. 35.Find the LCM of 4, 3 and 9.
  36. 36.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 56. What is the other number?
  37. 37.Find the LCM of 13, 2 and 9.
  38. 38.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 20. What is the other number?
  39. 39.Find the LCM of 6, 4 and 5.
  40. 40.Find the HCF of 9 and 6.

Answer key

  1. 360
  2. 130
  3. 240
  4. 182
  5. 90
  6. 168
  7. 90
  8. 75
  9. 15
  10. 12
  11. 12
  12. 10
  13. 7
  14. 9
  15. 8
  16. 112
  17. 120
  18. 72
  19. 30
  20. 24
  21. 24
  22. 36
  23. 24
  24. 21
  25. 27
  26. 21
  27. 144
  28. 72
  29. 56
  30. 40
  31. 60
  32. 5
  33. 7
  34. 63
  35. 36
  36. 64
  37. 234
  38. 35
  39. 60
  40. 3

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