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 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..!!❤