What is the LCM of \((11110)_2\), \((10100)_2\) and \((11011)_2\)?
\((1000011100)_2\)
Converting to decimal: \((11110)_2=30\), \((10100)_2=20\) and \((11011)_2=27\). Since \(30=2\cdot3\cdot5\), \(20=2^2\cdot5\) and \(27=3^3\), their LCM is \(2^2\cdot3^3\cdot5=540\). Converting 540 back to binary gives \((1000011100)_2\).
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