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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 74 · 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.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 30. What is the other number?
  2. 2.Find the LCM of 2, 4 and 15.
  3. 3.Find the LCM of 12, 6 and 11.
  4. 4.Find the LCM of 15, 8 and 5.
  5. 5.Find the LCM of 18 and 48.
  6. 6.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 45. What is the other number?
  7. 7.Find the LCM of 9, 3 and 12.
  8. 8.Find the LCM of 10, 12 and 5.
  9. 9.Find the HCF of 112 and 98.
  10. 10.Find the HCF of 91 and 104.
  11. 11.Find the LCM of 12 and 21.
  12. 12.Find the LCM of 35 and 25.
  13. 13.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 49. What is the other number?
  14. 14.Find the LCM of 4, 11 and 8.
  15. 15.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 10. What is the other number?
  16. 16.Find the LCM of 2, 3 and 6.
  17. 17.Find the HCF of 20 and 12.
  18. 18.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 20. What is the other number?
  19. 19.Find the HCF of 48 and 60.
  20. 20.Find the LCM of 27 and 12.
  21. 21.Find the LCM of 15, 3 and 8.
  22. 22.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 64. What is the other number?
  23. 23.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 45. What is the other number?
  24. 24.Find the LCM of 10 and 25.
  25. 25.Find the LCM of 14 and 6.
  26. 26.Find the LCM of 15 and 25.
  27. 27.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  28. 28.Find the LCM of 14, 2 and 9.
  29. 29.Find the LCM of 2, 3 and 4.
  30. 30.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 15. What is the other number?
  31. 31.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 21. What is the other number?
  32. 32.Find the HCF of 10 and 14.
  33. 33.Find the LCM of 6 and 16.
  34. 34.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 35. What is the other number?
  35. 35.Find the LCM of 14 and 8.
  36. 36.Find the LCM of 10 and 12.
  37. 37.Find the LCM of 10, 11 and 4.
  38. 38.Find the LCM of 15 and 20.
  39. 39.Find the LCM of 5, 11 and 10.
  40. 40.Find the LCM of 12, 10 and 4.

Answer key

  1. 18
  2. 60
  3. 132
  4. 120
  5. 144
  6. 27
  7. 36
  8. 60
  9. 14
  10. 13
  11. 84
  12. 175
  13. 56
  14. 88
  15. 45
  16. 6
  17. 4
  18. 36
  19. 12
  20. 108
  21. 120
  22. 24
  23. 10
  24. 50
  25. 42
  26. 75
  27. 14
  28. 126
  29. 12
  30. 25
  31. 6
  32. 2
  33. 48
  34. 21
  35. 56
  36. 60
  37. 220
  38. 60
  39. 110
  40. 60

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