MCQ
The $1$st threecommon multiple of numbers $12, 8, 16$ are:
  • A
    $12,24,36$
  • B
    $8,16,24$
  • C
    $16,32,48$
  • $48,96,144$

Answer

Correct option: D.
$48,96,144$
 $12 = 2^2 \times 38 = 2^316 = 2^4$
$\Rightarrow LCM$ of $12, 8, 16 = 2^4 \times 3 = 48$
$\therefore 48$ is the least common multiple of $12,8,16.$
Thus, all multiples of $48$ are common multiples of $12, 8$ and $16.$
$\therefore $ First three common multiples $= 48, 96, 144$

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