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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 205 · 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 18 and 30.
  2. 2.Find the LCM of 6 and 10.
  3. 3.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  4. 4.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?
  5. 5.Find the LCM of 2, 5 and 8.
  6. 6.Find the HCF of 75 and 120.
  7. 7.Find the LCM of 3 and 2.
  8. 8.Find the HCF of 36 and 8.
  9. 9.Find the HCF of 80 and 50.
  10. 10.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 28. What is the other number?
  11. 11.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 15. What is the other number?
  12. 12.Find the LCM of 11, 9 and 2.
  13. 13.Find the HCF of 126 and 70.
  14. 14.Find the HCF of 12 and 20.
  15. 15.Find the LCM of 6, 4 and 13.
  16. 16.Find the LCM of 7, 3 and 12.
  17. 17.Find the LCM of 13, 5 and 10.
  18. 18.Find the LCM of 3, 6 and 15.
  19. 19.Find the LCM of 8, 15 and 5.
  20. 20.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 42. What is the other number?
  21. 21.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 32. What is the other number?
  22. 22.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 18. What is the other number?
  23. 23.Find the HCF of 108 and 84.
  24. 24.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  25. 25.Find the HCF of 44 and 77.
  26. 26.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  27. 27.Find the LCM of 6 and 5.
  28. 28.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 45. What is the other number?
  29. 29.Find the LCM of 3, 8 and 2.
  30. 30.Find the HCF of 9 and 24.
  31. 31.Find the LCM of 5 and 3.
  32. 32.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  33. 33.Find the LCM of 13, 6 and 2.
  34. 34.Find the LCM of 3, 11 and 7.
  35. 35.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 63. What is the other number?
  36. 36.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  37. 37.Find the HCF of 117 and 65.
  38. 38.Find the LCM of 5, 4 and 11.
  39. 39.Find the LCM of 54 and 12.
  40. 40.Find the LCM of 15 and 24.

Answer key

  1. 90
  2. 30
  3. 28
  4. 72
  5. 40
  6. 15
  7. 6
  8. 4
  9. 10
  10. 8
  11. 18
  12. 198
  13. 14
  14. 4
  15. 156
  16. 84
  17. 130
  18. 30
  19. 120
  20. 36
  21. 36
  22. 4
  23. 12
  24. 32
  25. 11
  26. 35
  27. 30
  28. 36
  29. 24
  30. 3
  31. 15
  32. 63
  33. 78
  34. 231
  35. 45
  36. 28
  37. 13
  38. 220
  39. 108
  40. 120

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