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Let $\ast$ be the binary operation on $N$ given by $a \ast b = $ LCM of $a$ and $b$. $(i)$ Find $5 \ast 7, \; 20 \ast 16$.

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  • The lowest common multiple of two integers a and b, usually denoted by LCM(a, b), is the smallest positive integer that is divisible by both a and b.
Given that the binary operation on N given by $a \ast b = $ LCM $(a,b)$:
$\Rightarrow 5 \ast 7$ = LCM $(5,7) = 35$
$\Rightarrow 20 \ast 16$ = LCM $(20,16) = 80$
answered Mar 19, 2013 by balaji.thirumalai

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