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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 124 · 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 4 and 6.
  2. 2.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 25. What is the other number?
  3. 3.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 72. What is the other number?
  4. 4.Find the LCM of 8, 12 and 15.
  5. 5.Find the HCF of 42 and 98.
  6. 6.Find the HCF of 16 and 20.
  7. 7.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  8. 8.Find the LCM of 10, 14 and 5.
  9. 9.Find the HCF of 48 and 36.
  10. 10.Find the LCM of 4, 8 and 9.
  11. 11.Find the LCM of 6 and 5.
  12. 12.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 56. What is the other number?
  13. 13.Find the HCF of 42 and 112.
  14. 14.Find the HCF of 10 and 6.
  15. 15.Find the LCM of 35 and 30.
  16. 16.Find the HCF of 77 and 66.
  17. 17.Find the LCM of 6 and 8.
  18. 18.Find the LCM of 10, 5 and 7.
  19. 19.Find the LCM of 4, 8 and 5.
  20. 20.Find the LCM of 11, 4 and 5.
  21. 21.Find the LCM of 5 and 9.
  22. 22.Find the LCM of 30 and 18.
  23. 23.Find the HCF of 10 and 8.
  24. 24.Find the LCM of 54 and 12.
  25. 25.Find the LCM of 4, 11 and 12.
  26. 26.Find the LCM of 16 and 10.
  27. 27.Find the HCF of 24 and 30.
  28. 28.Find the LCM of 4, 2 and 8.
  29. 29.Find the LCM of 3 and 4.
  30. 30.Find the LCM of 4, 8 and 11.
  31. 31.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 35. What is the other number?
  32. 32.Find the LCM of 12, 3 and 5.
  33. 33.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  34. 34.Find the LCM of 11, 4 and 10.
  35. 35.Find the HCF of 63 and 45.
  36. 36.Find the LCM of 14, 4 and 6.
  37. 37.Find the LCM of 14, 9 and 7.
  38. 38.Find the LCM of 3 and 8.
  39. 39.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 24. What is the other number?
  40. 40.Find the LCM of 5, 6 and 3.

Answer key

  1. 12
  2. 30
  3. 81
  4. 120
  5. 14
  6. 4
  7. 14
  8. 70
  9. 12
  10. 72
  11. 30
  12. 35
  13. 14
  14. 2
  15. 210
  16. 11
  17. 24
  18. 70
  19. 40
  20. 220
  21. 45
  22. 90
  23. 2
  24. 108
  25. 132
  26. 80
  27. 6
  28. 8
  29. 12
  30. 88
  31. 49
  32. 60
  33. 9
  34. 220
  35. 9
  36. 84
  37. 126
  38. 24
  39. 40
  40. 30

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