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Question

What is the LCM of \((11110)_2\), \((10100)_2\) and \((11011)_2\)?

This question was previously asked in
NDA 2 2026 GAT Question Paper (13-Sep-2026)
The correct answer is

\((1000011100)_2\)

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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Similar Questions

  1. What is the binary number equivalent to decimal number 1011 ?


Important Questions from Binary to Decimal Conversion

  1. If (1012)3 = (112)R the value of the radix ‘R’ is

  2. The decimal equivalent of 11100 is ____

  3. What is the decimal value for the binary number 1001.0010?

  4. Decimal fraction 0.375 in binary form is

  5. Consider the equation (43)x = (y3)8 where x and y are unknown. The number of possible solution is

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