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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 638 · 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 14, 7 and 5.
  2. 2.Find the LCM of 4 and 14.
  3. 3.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 14. What is the other number?
  4. 4.Find the LCM of 20 and 25.
  5. 5.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  6. 6.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  7. 7.Find the HCF of 20 and 30.
  8. 8.Find the HCF of 63 and 56.
  9. 9.Find the HCF of 63 and 18.
  10. 10.Find the LCM of 4 and 6.
  11. 11.Find the HCF of 36 and 30.
  12. 12.Find the HCF of 117 and 91.
  13. 13.Find the HCF of 60 and 135.
  14. 14.Find the LCM of 10, 2 and 14.
  15. 15.Find the HCF of 16 and 36.
  16. 16.Find the LCM of 2, 11 and 14.
  17. 17.Find the HCF of 20 and 15.
  18. 18.Find the LCM of 14 and 8.
  19. 19.Find the HCF of 20 and 24.
  20. 20.Find the LCM of 15, 10 and 6.
  21. 21.Find the HCF of 60 and 36.
  22. 22.Find the LCM of 9 and 7.
  23. 23.Find the LCM of 3, 7 and 11.
  24. 24.Find the LCM of 11, 8 and 2.
  25. 25.Find the LCM of 9 and 21.
  26. 26.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 48. What is the other number?
  27. 27.Find the LCM of 25 and 30.
  28. 28.Find the HCF of 60 and 24.
  29. 29.Find the LCM of 2, 5 and 11.
  30. 30.Find the LCM of 4 and 7.
  31. 31.Find the LCM of 8, 5 and 12.
  32. 32.Find the HCF of 40 and 30.
  33. 33.Find the LCM of 21 and 6.
  34. 34.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  35. 35.Find the LCM of 10, 8 and 12.
  36. 36.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  37. 37.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  38. 38.Find the LCM of 36 and 8.
  39. 39.Find the LCM of 12, 8 and 9.
  40. 40.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 28. What is the other number?

Answer key

  1. 70
  2. 28
  3. 49
  4. 100
  5. 21
  6. 8
  7. 10
  8. 7
  9. 9
  10. 12
  11. 6
  12. 13
  13. 15
  14. 70
  15. 4
  16. 154
  17. 5
  18. 56
  19. 4
  20. 30
  21. 12
  22. 63
  23. 231
  24. 88
  25. 63
  26. 18
  27. 150
  28. 12
  29. 110
  30. 28
  31. 120
  32. 10
  33. 42
  34. 15
  35. 120
  36. 24
  37. 32
  38. 72
  39. 72
  40. 63

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