Find the LCM and HCF of the following integer | vedclass

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(D) To find the $LCM$ and $HCF$ of $12, 15$ and $21$ using the prime factorisation method:Step $1$: Find the prime factors of each number.$12 = 2^{2}

Vedclass · Accepted Answer

$420$

Vedclass · Answer

(D) To find the $LCM$ and $HCF$ of $12, 15$ and $21$ using the prime factorisation method:Step $1$: Find the prime factors of each number.$12 = 2^{2} 	imes 3$$15 = 3 	imes 5$$21 = 3 	imes 7$Step $2$: The $HCF$ is the product of the smallest power of each common prime factor.The only common prime factor is $3$,and its smallest power is $3^{1}$.Therefore,$HCF = 3$.Step $3$: The $LCM$ is the product of the greatest power of each prime factor involved.The prime factors involved are $2, 3, 5$ and $7$.The greatest powers are $2^{2}, 3^{1}, 5^{1}$ and $7^{1}$.$LCM = 2^{2} 	imes 3^{1} 	imes 5^{1} 	imes 7^{1} = 4 	imes 3 	imes 5 	imes 7 = 420$.

Find the $LCM$ and $HCF$ of the following integers by applying the prime factorisation method: $12, 15$ and $21$.

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