Find the LCM and HCF of the following integer | vedclass

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(B) To find the $LCM$ and $HCF$ of $8, 9$ and $25$ using the prime factorisation method:Step $1$: Write the prime factorisation of each number:$8 = 2

Vedclass · Accepted Answer

$1800$

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(B) To find the $LCM$ and $HCF$ of $8, 9$ and $25$ using the prime factorisation method:Step $1$: Write the prime factorisation of each number:$8 = 2 	imes 2 	imes 2 = 2^3$$9 = 3 	imes 3 = 3^2$$25 = 5 	imes 5 = 5^2$Step $2$: Find the $HCF$ (Highest Common Factor):The $HCF$ is the product of the smallest power of each common prime factor. Since there are no common prime factors other than $1$,the $HCF = 1$.Step $3$: Find the $LCM$ (Least Common Multiple):The $LCM$ is the product of the greatest power of each prime factor involved:$LCM = 2^3 	imes 3^2 	imes 5^2$$LCM = 8 	imes 9 	imes 25$$LCM = 72 	imes 25 = 1800$Thus,the $LCM$ is $1800$ and the $HCF$ is $1$.

Find the $LCM$ and $HCF$ of the following integers by applying the prime factorisation method: $8, 9$ and $25$.

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