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Is ${ }^*$ defined on the set $\{1,2,3,4,5\}$ by a ${ }^* \mathbf{b}=$ L.C.M. of a and $b$ a binary operation? Justify your answer.
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The given set $=\{1,2,3,4,5\}$ Binary operation is defined as $\mathrm{a} * \mathrm{~b}=1 \mathrm{~cm}$ of $\mathrm{a}$ and $\mathrm{b} .4 * 5=20$ which does not belong to the given set $\{1,2,3,4,5\}$.
It is not a binary operation.
It is not a binary operation.
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