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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 879 · 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.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 14. What is the other number?
  2. 2.Find the LCM of 12 and 16.
  3. 3.Find the LCM of 6, 7 and 4.
  4. 4.Find the LCM of 6, 5 and 9.
  5. 5.Find the HCF of 44 and 99.
  6. 6.Find the LCM of 2, 7 and 12.
  7. 7.Find the LCM of 9, 4 and 15.
  8. 8.Find the HCF of 22 and 55.
  9. 9.Find the HCF of 32 and 56.
  10. 10.Find the HCF of 75 and 90.
  11. 11.Find the LCM of 9, 6 and 11.
  12. 12.Find the HCF of 18 and 63.
  13. 13.Find the LCM of 20 and 35.
  14. 14.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  15. 15.Find the HCF of 15 and 27.
  16. 16.Find the LCM of 2, 10 and 13.
  17. 17.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?
  18. 18.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 54. What is the other number?
  19. 19.Find the LCM of 16 and 20.
  20. 20.Find the HCF of 35 and 14.
  21. 21.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  22. 22.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 18. What is the other number?
  23. 23.Find the LCM of 9, 3 and 10.
  24. 24.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 10. What is the other number?
  25. 25.Find the LCM of 18 and 30.
  26. 26.Find the HCF of 40 and 25.
  27. 27.Find the HCF of 16 and 56.
  28. 28.Find the LCM of 3, 13 and 12.
  29. 29.Find the HCF of 15 and 12.
  30. 30.Find the HCF of 48 and 36.
  31. 31.Find the HCF of 72 and 40.
  32. 32.Find the LCM of 35 and 40.
  33. 33.Find the LCM of 9 and 12.
  34. 34.Find the LCM of 28 and 8.
  35. 35.Find the LCM of 15 and 6.
  36. 36.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 36. What is the other number?
  37. 37.Find the LCM of 8 and 10.
  38. 38.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  39. 39.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  40. 40.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 18. What is the other number?

Answer key

  1. 35
  2. 48
  3. 84
  4. 90
  5. 11
  6. 84
  7. 180
  8. 11
  9. 8
  10. 15
  11. 198
  12. 9
  13. 140
  14. 9
  15. 3
  16. 130
  17. 24
  18. 12
  19. 80
  20. 7
  21. 40
  22. 63
  23. 90
  24. 14
  25. 90
  26. 5
  27. 8
  28. 156
  29. 3
  30. 12
  31. 8
  32. 280
  33. 36
  34. 56
  35. 30
  36. 32
  37. 40
  38. 21
  39. 10
  40. 30

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