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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 551 · 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 8 and 7.
  2. 2.Find the LCM of 9, 4 and 6.
  3. 3.Find the HCF of 135 and 30.
  4. 4.Find the HCF of 60 and 135.
  5. 5.Find the LCM of 15, 6 and 12.
  6. 6.Find the LCM of 54 and 48.
  7. 7.Find the LCM of 9, 5 and 15.
  8. 8.Find the LCM of 6, 9 and 14.
  9. 9.Find the HCF of 55 and 66.
  10. 10.Find the HCF of 40 and 72.
  11. 11.Find the HCF of 36 and 20.
  12. 12.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  13. 13.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?
  14. 14.Find the LCM of 2, 13 and 4.
  15. 15.Find the HCF of 16 and 24.
  16. 16.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  17. 17.Find the LCM of 11, 2 and 12.
  18. 18.Find the LCM of 12 and 30.
  19. 19.Find the LCM of 7 and 9.
  20. 20.Find the LCM of 40 and 35.
  21. 21.Find the HCF of 54 and 45.
  22. 22.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  23. 23.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 36. What is the other number?
  24. 24.Find the LCM of 54 and 30.
  25. 25.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  26. 26.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  27. 27.Find the LCM of 9, 5 and 6.
  28. 28.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 16. What is the other number?
  29. 29.Find the LCM of 42 and 24.
  30. 30.Find the LCM of 4, 6 and 10.
  31. 31.Find the LCM of 6 and 16.
  32. 32.Find the HCF of 35 and 10.
  33. 33.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
  34. 34.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 24. What is the other number?
  35. 35.Find the HCF of 98 and 126.
  36. 36.Find the HCF of 21 and 14.
  37. 37.Find the HCF of 90 and 70.
  38. 38.Find the LCM of 3, 14 and 5.
  39. 39.Find the LCM of 11, 7 and 3.
  40. 40.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 4. What is the other number?

Answer key

  1. 56
  2. 36
  3. 15
  4. 15
  5. 60
  6. 432
  7. 45
  8. 126
  9. 11
  10. 8
  11. 4
  12. 32
  13. 18
  14. 52
  15. 8
  16. 81
  17. 132
  18. 60
  19. 63
  20. 280
  21. 9
  22. 4
  23. 32
  24. 270
  25. 24
  26. 6
  27. 90
  28. 56
  29. 168
  30. 60
  31. 48
  32. 5
  33. 9
  34. 30
  35. 14
  36. 7
  37. 10
  38. 210
  39. 231
  40. 6

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