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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 940 · 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 9, 6 and 14.
  2. 2.Find the LCM of 8 and 12.
  3. 3.Find the HCF of 45 and 120.
  4. 4.Find the LCM of 15, 12 and 4.
  5. 5.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 15. What is the other number?
  6. 6.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 32. What is the other number?
  7. 7.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 49. What is the other number?
  8. 8.Find the LCM of 12 and 10.
  9. 9.Find the HCF of 8 and 36.
  10. 10.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 18. What is the other number?
  11. 11.Find the LCM of 18 and 12.
  12. 12.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  13. 13.Find the HCF of 70 and 30.
  14. 14.Find the LCM of 28 and 16.
  15. 15.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 21. What is the other number?
  16. 16.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 36. What is the other number?
  17. 17.Find the HCF of 30 and 25.
  18. 18.Find the LCM of 42 and 18.
  19. 19.Find the LCM of 8 and 20.
  20. 20.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  21. 21.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 8. What is the other number?
  22. 22.Find the HCF of 21 and 56.
  23. 23.Find the LCM of 45 and 25.
  24. 24.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 8. What is the other number?
  25. 25.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 72. What is the other number?
  26. 26.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?
  27. 27.Find the LCM of 12 and 54.
  28. 28.Find the HCF of 21 and 18.
  29. 29.Find the LCM of 6 and 14.
  30. 30.Find the HCF of 22 and 77.
  31. 31.Find the LCM of 27 and 21.
  32. 32.Find the HCF of 63 and 56.
  33. 33.Find the LCM of 9 and 24.
  34. 34.Find the HCF of 126 and 98.
  35. 35.Find the LCM of 5 and 6.
  36. 36.Find the LCM of 36 and 16.
  37. 37.Find the LCM of 21 and 27.
  38. 38.Find the HCF of 99 and 44.
  39. 39.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  40. 40.Find the LCM of 15 and 27.

Answer key

  1. 126
  2. 24
  3. 15
  4. 60
  5. 35
  6. 20
  7. 21
  8. 60
  9. 4
  10. 63
  11. 36
  12. 21
  13. 10
  14. 112
  15. 27
  16. 63
  17. 5
  18. 126
  19. 40
  20. 15
  21. 10
  22. 7
  23. 225
  24. 36
  25. 63
  26. 72
  27. 108
  28. 3
  29. 42
  30. 11
  31. 189
  32. 7
  33. 72
  34. 14
  35. 30
  36. 144
  37. 189
  38. 11
  39. 20
  40. 135

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