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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 648 · 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 4, 6 and 7.
  2. 2.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 28. What is the other number?
  3. 3.Find the LCM of 5, 11 and 2.
  4. 4.Find the LCM of 15, 10 and 4.
  5. 5.Find the HCF of 96 and 84.
  6. 6.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  7. 7.Find the LCM of 13, 2 and 6.
  8. 8.Find the LCM of 32 and 12.
  9. 9.Find the HCF of 40 and 30.
  10. 10.Find the LCM of 32 and 20.
  11. 11.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  12. 12.Find the LCM of 3, 7 and 15.
  13. 13.Find the HCF of 54 and 12.
  14. 14.Find the HCF of 135 and 120.
  15. 15.Find the HCF of 24 and 20.
  16. 16.Find the LCM of 7, 14 and 15.
  17. 17.Find the LCM of 20 and 12.
  18. 18.Find the LCM of 54 and 30.
  19. 19.Find the LCM of 2, 4 and 3.
  20. 20.Find the LCM of 8, 5 and 3.
  21. 21.Find the HCF of 30 and 135.
  22. 22.Find the HCF of 35 and 63.
  23. 23.Find the LCM of 2, 15 and 10.
  24. 24.Find the HCF of 12 and 8.
  25. 25.Find the HCF of 18 and 63.
  26. 26.Find the HCF of 91 and 117.
  27. 27.Find the LCM of 15 and 20.
  28. 28.Find the LCM of 13, 3 and 9.
  29. 29.Find the LCM of 2, 11 and 4.
  30. 30.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 14. What is the other number?
  31. 31.Find the LCM of 4 and 3.
  32. 32.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?
  33. 33.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 64. What is the other number?
  34. 34.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 25. What is the other number?
  35. 35.Find the LCM of 15, 9 and 3.
  36. 36.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 35. What is the other number?
  37. 37.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 32. What is the other number?
  38. 38.Find the HCF of 6 and 9.
  39. 39.Find the HCF of 52 and 65.
  40. 40.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 81. What is the other number?

Answer key

  1. 84
  2. 12
  3. 110
  4. 60
  5. 12
  6. 14
  7. 78
  8. 96
  9. 10
  10. 160
  11. 40
  12. 105
  13. 6
  14. 15
  15. 4
  16. 210
  17. 60
  18. 270
  19. 12
  20. 120
  21. 15
  22. 7
  23. 30
  24. 4
  25. 9
  26. 13
  27. 60
  28. 117
  29. 44
  30. 16
  31. 12
  32. 21
  33. 24
  34. 20
  35. 45
  36. 28
  37. 56
  38. 3
  39. 13
  40. 18

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