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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 832 · 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 16 and 28.
  2. 2.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 27. What is the other number?
  3. 3.Find the LCM of 6 and 27.
  4. 4.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 20. What is the other number?
  5. 5.Find the LCM of 10, 14 and 3.
  6. 6.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  7. 7.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 15. What is the other number?
  8. 8.Find the LCM of 10 and 12.
  9. 9.Find the LCM of 12 and 16.
  10. 10.Find the LCM of 16 and 18.
  11. 11.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 21. What is the other number?
  12. 12.Find the LCM of 9, 6 and 11.
  13. 13.Find the LCM of 8 and 14.
  14. 14.Find the LCM of 36 and 32.
  15. 15.Find the LCM of 9 and 15.
  16. 16.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 8. What is the other number?
  17. 17.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  18. 18.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 21. What is the other number?
  19. 19.Find the HCF of 15 and 18.
  20. 20.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 20. What is the other number?
  21. 21.Find the LCM of 5 and 6.
  22. 22.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 81. What is the other number?
  23. 23.Find the LCM of 28 and 24.
  24. 24.Find the LCM of 6, 12 and 10.
  25. 25.Find the LCM of 2, 3 and 15.
  26. 26.Find the LCM of 6, 15 and 2.
  27. 27.Find the LCM of 32 and 12.
  28. 28.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?
  29. 29.Find the LCM of 18 and 24.
  30. 30.Find the LCM of 8, 6 and 2.
  31. 31.Find the LCM of 3, 14 and 15.
  32. 32.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  33. 33.Find the HCF of 24 and 9.
  34. 34.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 45. What is the other number?
  35. 35.Find the LCM of 20 and 12.
  36. 36.Find the HCF of 25 and 20.
  37. 37.Find the HCF of 60 and 48.
  38. 38.Find the LCM of 36 and 28.
  39. 39.Find the LCM of 25 and 40.
  40. 40.Find the LCM of 15, 2 and 4.

Answer key

  1. 112
  2. 63
  3. 54
  4. 36
  5. 210
  6. 9
  7. 18
  8. 60
  9. 48
  10. 144
  11. 6
  12. 198
  13. 56
  14. 288
  15. 45
  16. 10
  17. 10
  18. 28
  19. 3
  20. 32
  21. 30
  22. 36
  23. 168
  24. 60
  25. 30
  26. 30
  27. 96
  28. 8
  29. 72
  30. 24
  31. 210
  32. 24
  33. 3
  34. 35
  35. 60
  36. 5
  37. 12
  38. 252
  39. 200
  40. 60

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