Find the LCM and the HCF of 108 & 504 Using Fundamental theorem. Hence verify the relation between the numbers and the LCM &am

Find the LCM and the HCF of 108 & 504 Using Fundamental theorem. Hence verify the relation between the numbers and the LCM & HCF.​

About the author
Alexandra

1 thought on “Find the LCM and the HCF of 108 & 504 Using Fundamental theorem. Hence verify the relation between the numbers and the LCM &am”

  1. Question :

    => Find the LCM and the HCF of 108 & 504 Using Fundamental theorem. Hence verify the relation between the numbers and the LCM & HCF.

    Answer :

    => Let a = 108 and b = 504

    => Now. expressing the number as the product of prime number.

    => 108 = 2×2×3×3×3

    => 504 = 2×2×2×3×3×7

    => Therefore, LCM of 108 and 504 is 2×2×2×3×3×3×7 = 1512

    => Therefore, HCF of 108 and 504 is 2×2×3×3 = 36

    => Now, HCF × LCM = Product of two given numbers.

    => 36 × 1512 = 108 × 504

    => 54432 = 54432

    => Hence, Verified..!!

    Hope it helps u..!!

    Reply

Leave a Comment