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Associative Law of Binary Operation

Let ∗ be th...

Question

Let $$ be the binary operation on $N$ given by $a b =$ LCM of $a$ and $b$ . Find
Is * associative?

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Solution

$(a * b) * c = L . C . M . o f a, b, c$
$a * (b * c) = L . C . m . o f a, b, c$
hence $*$ is associative.

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