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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 743 · 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 3, 7 and 6.
  2. 2.Find the LCM of 25 and 15.
  3. 3.Find the LCM of 10 and 45.
  4. 4.Find the LCM of 12, 10 and 2.
  5. 5.Find the LCM of 3, 4 and 11.
  6. 6.Find the LCM of 10, 5 and 15.
  7. 7.Find the LCM of 7, 10 and 15.
  8. 8.Find the HCF of 88 and 77.
  9. 9.Find the HCF of 6 and 21.
  10. 10.Find the LCM of 25 and 10.
  11. 11.Find the HCF of 35 and 42.
  12. 12.Find the LCM of 15, 8 and 10.
  13. 13.Find the HCF of 24 and 20.
  14. 14.Find the HCF of 20 and 90.
  15. 15.Find the LCM of 6, 2 and 9.
  16. 16.Find the LCM of 9 and 4.
  17. 17.Find the LCM of 20 and 25.
  18. 18.Find the LCM of 12, 14 and 2.
  19. 19.Find the HCF of 65 and 26.
  20. 20.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 24. What is the other number?
  21. 21.Find the LCM of 3, 14 and 6.
  22. 22.Find the HCF of 30 and 42.
  23. 23.Find the HCF of 15 and 24.
  24. 24.Find the LCM of 3, 15 and 5.
  25. 25.Find the LCM of 8, 7 and 4.
  26. 26.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 35. What is the other number?
  27. 27.Find the LCM of 3, 10 and 6.
  28. 28.Find the LCM of 18 and 42.
  29. 29.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 42. What is the other number?
  30. 30.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 15. What is the other number?
  31. 31.Find the LCM of 14 and 6.
  32. 32.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 35. What is the other number?
  33. 33.Find the LCM of 3 and 7.
  34. 34.Find the LCM of 14, 7 and 2.
  35. 35.Find the LCM of 14 and 12.
  36. 36.Find the LCM of 20 and 8.
  37. 37.Find the LCM of 3, 11 and 5.
  38. 38.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 49. What is the other number?
  39. 39.Find the LCM of 5, 3 and 7.
  40. 40.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?

Answer key

  1. 42
  2. 75
  3. 90
  4. 60
  5. 132
  6. 30
  7. 210
  8. 11
  9. 3
  10. 50
  11. 7
  12. 120
  13. 4
  14. 10
  15. 18
  16. 36
  17. 100
  18. 84
  19. 13
  20. 20
  21. 42
  22. 6
  23. 3
  24. 15
  25. 56
  26. 21
  27. 30
  28. 126
  29. 48
  30. 27
  31. 42
  32. 56
  33. 21
  34. 14
  35. 84
  36. 40
  37. 165
  38. 28
  39. 105
  40. 6

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