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