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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 768 · 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.

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  1. 1.Find the LCM of 7, 15 and 10.
  2. 2.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 20. What is the other number?
  3. 3.Find the LCM of 20 and 8.
  4. 4.Find the LCM of 9 and 2.
  5. 5.Find the LCM of 6, 13 and 3.
  6. 6.Find the HCF of 56 and 126.
  7. 7.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 9. What is the other number?
  8. 8.Find the LCM of 10, 4 and 9.
  9. 9.Find the HCF of 81 and 72.
  10. 10.Find the LCM of 12 and 20.
  11. 11.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 81. What is the other number?
  12. 12.Find the LCM of 15, 3 and 11.
  13. 13.Find the LCM of 12, 7 and 2.
  14. 14.Find the LCM of 8, 2 and 5.
  15. 15.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 56. What is the other number?
  16. 16.Find the LCM of 12 and 28.
  17. 17.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 56. What is the other number?
  18. 18.Find the LCM of 7, 8 and 4.
  19. 19.Find the HCF of 36 and 96.
  20. 20.Find the LCM of 16 and 12.
  21. 21.Find the LCM of 3, 2 and 5.
  22. 22.Find the HCF of 56 and 24.
  23. 23.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 72. What is the other number?
  24. 24.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 63. What is the other number?
  25. 25.Find the HCF of 42 and 70.
  26. 26.Find the HCF of 77 and 33.
  27. 27.Find the LCM of 5, 15 and 7.
  28. 28.Find the LCM of 9, 12 and 2.
  29. 29.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 18. What is the other number?
  30. 30.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 45. What is the other number?
  31. 31.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 72. What is the other number?
  32. 32.Find the LCM of 30 and 48.
  33. 33.Find the LCM of 5, 3 and 9.
  34. 34.Find the LCM of 5, 11 and 3.
  35. 35.Find the LCM of 15 and 24.
  36. 36.Find the LCM of 18 and 30.
  37. 37.Find the LCM of 30 and 12.
  38. 38.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 15. What is the other number?
  39. 39.Find the HCF of 21 and 14.
  40. 40.Find the LCM of 2, 5 and 10.

Answer key

  1. 210
  2. 45
  3. 40
  4. 18
  5. 78
  6. 14
  7. 21
  8. 180
  9. 9
  10. 60
  11. 63
  12. 165
  13. 84
  14. 40
  15. 49
  16. 84
  17. 24
  18. 56
  19. 12
  20. 48
  21. 30
  22. 8
  23. 81
  24. 72
  25. 14
  26. 11
  27. 105
  28. 36
  29. 63
  30. 35
  31. 56
  32. 240
  33. 45
  34. 165
  35. 120
  36. 90
  37. 60
  38. 24
  39. 7
  40. 10

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