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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 767 · 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 11.
  2. 2.Find the LCM of 6, 10 and 3.
  3. 3.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  4. 4.Find the LCM of 18 and 8.
  5. 5.Find the HCF of 24 and 32.
  6. 6.Find the LCM of 8, 12 and 7.
  7. 7.Find the LCM of 24 and 15.
  8. 8.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 42. What is the other number?
  9. 9.Find the LCM of 16 and 18.
  10. 10.Find the LCM of 8 and 36.
  11. 11.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 35. What is the other number?
  12. 12.Find the LCM of 3, 15 and 12.
  13. 13.Find the HCF of 30 and 75.
  14. 14.Find the HCF of 77 and 88.
  15. 15.Find the LCM of 28 and 20.
  16. 16.Find the HCF of 20 and 32.
  17. 17.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  18. 18.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  19. 19.Find the LCM of 9, 2 and 11.
  20. 20.Find the LCM of 12 and 14.
  21. 21.Find the LCM of 9, 3 and 10.
  22. 22.Find the HCF of 55 and 44.
  23. 23.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  24. 24.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 28. What is the other number?
  25. 25.Find the HCF of 8 and 6.
  26. 26.Find the HCF of 40 and 30.
  27. 27.Find the LCM of 5 and 8.
  28. 28.Find the LCM of 15 and 20.
  29. 29.Find the LCM of 9 and 5.
  30. 30.Find the LCM of 5, 4 and 9.
  31. 31.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 12. What is the other number?
  32. 32.Find the LCM of 14 and 18.
  33. 33.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 24. What is the other number?
  34. 34.Find the HCF of 54 and 42.
  35. 35.Find the HCF of 54 and 12.
  36. 36.Find the LCM of 15 and 27.
  37. 37.Find the LCM of 14, 9 and 2.
  38. 38.Find the LCM of 2, 8 and 7.
  39. 39.Find the LCM of 14 and 12.
  40. 40.Find the LCM of 9, 3 and 2.

Answer key

  1. 132
  2. 30
  3. 21
  4. 72
  5. 8
  6. 168
  7. 120
  8. 35
  9. 144
  10. 72
  11. 15
  12. 60
  13. 15
  14. 11
  15. 140
  16. 4
  17. 14
  18. 14
  19. 198
  20. 84
  21. 90
  22. 11
  23. 18
  24. 32
  25. 2
  26. 10
  27. 40
  28. 60
  29. 45
  30. 180
  31. 16
  32. 126
  33. 40
  34. 6
  35. 6
  36. 135
  37. 126
  38. 56
  39. 84
  40. 18

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