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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 95 · 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 120. One of the numbers is 24. What is the other number?
  2. 2.Find the LCM of 10, 6 and 15.
  3. 3.Find the LCM of 3, 9 and 6.
  4. 4.Find the LCM of 14, 5 and 6.
  5. 5.Find the LCM of 8 and 20.
  6. 6.Find the LCM of 7 and 2.
  7. 7.Find the LCM of 30 and 12.
  8. 8.Find the LCM of 14, 5 and 15.
  9. 9.Find the HCF of 10 and 16.
  10. 10.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 8. What is the other number?
  11. 11.Find the LCM of 9 and 4.
  12. 12.Find the LCM of 4 and 7.
  13. 13.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  14. 14.Find the HCF of 20 and 15.
  15. 15.Find the HCF of 30 and 40.
  16. 16.Find the LCM of 4, 10 and 5.
  17. 17.Find the LCM of 12, 10 and 8.
  18. 18.Find the HCF of 91 and 26.
  19. 19.Find the LCM of 4, 5 and 6.
  20. 20.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 4. What is the other number?
  21. 21.Find the LCM of 2, 4 and 6.
  22. 22.Find the LCM of 9, 8 and 3.
  23. 23.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 25. What is the other number?
  24. 24.Find the LCM of 15 and 9.
  25. 25.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  26. 26.Find the HCF of 16 and 12.
  27. 27.Find the LCM of 16 and 36.
  28. 28.Find the HCF of 30 and 80.
  29. 29.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  30. 30.Find the LCM of 6 and 4.
  31. 31.Find the HCF of 55 and 77.
  32. 32.Find the LCM of 6, 9 and 14.
  33. 33.Find the LCM of 12, 2 and 4.
  34. 34.Find the HCF of 70 and 28.
  35. 35.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 12. What is the other number?
  36. 36.Find the LCM of 24 and 15.
  37. 37.Find the LCM of 4, 11 and 12.
  38. 38.Find the LCM of 9, 5 and 15.
  39. 39.Find the LCM of 5, 3 and 12.
  40. 40.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 15. What is the other number?

Answer key

  1. 30
  2. 30
  3. 18
  4. 210
  5. 40
  6. 14
  7. 60
  8. 210
  9. 2
  10. 14
  11. 36
  12. 28
  13. 12
  14. 5
  15. 10
  16. 20
  17. 120
  18. 13
  19. 60
  20. 10
  21. 12
  22. 72
  23. 20
  24. 45
  25. 15
  26. 4
  27. 144
  28. 10
  29. 9
  30. 12
  31. 11
  32. 126
  33. 12
  34. 14
  35. 42
  36. 120
  37. 132
  38. 45
  39. 60
  40. 35

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