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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 115 · 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 5, 3 and 11.
  2. 2.Find the LCM of 7 and 2.
  3. 3.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 32. What is the other number?
  4. 4.Find the HCF of 90 and 20.
  5. 5.Find the LCM of 13, 12 and 6.
  6. 6.Find the LCM of 54 and 24.
  7. 7.Find the HCF of 28 and 24.
  8. 8.Find the HCF of 90 and 80.
  9. 9.Find the LCM of 13, 2 and 3.
  10. 10.Find the LCM of 6 and 16.
  11. 11.Find the LCM of 2, 3 and 9.
  12. 12.Find the LCM of 45 and 20.
  13. 13.Find the LCM of 12 and 20.
  14. 14.Find the LCM of 9 and 7.
  15. 15.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 40. What is the other number?
  16. 16.Find the HCF of 40 and 64.
  17. 17.Find the HCF of 30 and 20.
  18. 18.Find the LCM of 2, 14 and 7.
  19. 19.Find the LCM of 15 and 25.
  20. 20.Find the HCF of 33 and 77.
  21. 21.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 30. What is the other number?
  22. 22.Find the LCM of 8 and 7.
  23. 23.Find the LCM of 15 and 21.
  24. 24.Find the LCM of 3, 12 and 11.
  25. 25.Find the HCF of 70 and 20.
  26. 26.Find the LCM of 12, 2 and 3.
  27. 27.Find the HCF of 6 and 9.
  28. 28.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  29. 29.Find the LCM of 54 and 12.
  30. 30.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 32. What is the other number?
  31. 31.Find the HCF of 28 and 21.
  32. 32.Find the LCM of 11, 9 and 3.
  33. 33.Find the HCF of 39 and 91.
  34. 34.Find the LCM of 9, 7 and 6.
  35. 35.Find the LCM of 35 and 30.
  36. 36.Find the HCF of 16 and 18.
  37. 37.Find the LCM of 15, 10 and 2.
  38. 38.Find the HCF of 30 and 135.
  39. 39.Find the LCM of 7, 11 and 2.
  40. 40.Find the LCM of 2, 15 and 14.

Answer key

  1. 165
  2. 14
  3. 28
  4. 10
  5. 156
  6. 216
  7. 4
  8. 10
  9. 78
  10. 48
  11. 18
  12. 180
  13. 60
  14. 63
  15. 16
  16. 8
  17. 10
  18. 14
  19. 75
  20. 11
  21. 24
  22. 56
  23. 105
  24. 132
  25. 10
  26. 12
  27. 3
  28. 24
  29. 108
  30. 56
  31. 7
  32. 99
  33. 13
  34. 126
  35. 210
  36. 2
  37. 30
  38. 15
  39. 154
  40. 210

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