Find the LCM and HCF of the following integer | vedclass

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(A) To find the $LCM$ and $HCF$ of $17, 23$ and $29$ using the prime factorisation method:Step $1$: Write the prime factorisation of each number.$17 =

Vedclass · Accepted Answer

$11339$

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(A) To find the $LCM$ and $HCF$ of $17, 23$ and $29$ using the prime factorisation method:Step $1$: Write the prime factorisation of each number.$17 = 1 	imes 17$$23 = 1 	imes 23$$29 = 1 	imes 29$Step $2$: Find the $HCF$.The $HCF$ is the product of the smallest power of each common prime factor in the numbers.Since there are no common prime factors other than $1$,$HCF = 1$.Step $3$: Find the $LCM$.The $LCM$ is the product of the greatest power of each prime factor involved in the numbers.$LCM = 17 	imes 23 	imes 29 = 11339$.Thus,the $HCF$ is $1$ and the $LCM$ is $11339$.

Find the $LCM$ and $HCF$ of the following integers by applying the prime factorisation method: $17, 23$ and $29$.

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