Question

the smallest number which, when divided by 6,8,9 and is also is a perfect square is

Answer 1

the answer is 72 , it can divided by 6,8,9 please add thi as brain list

Answer 2

$The\ number\ is\ a\ multiple\ of\ the\ LCM\ of\ 6,\ 8\ and\ 9. \\ \\ Let's\ find\ the\ LCM\ of\ 6,\ 8\ and\ 9.$

$\\ \\ \\ 3\ |\underline{6,\ 8,\ 9} \\ 2\ |\underline{2,\ 8,\ 3} \\ 1\ |\underline{1,\ 4,\ 3} \\ \\ \\ LCM = 3 \times 2 \times 4 \times 3 = 72 \\ \\ \\ 72\ is\ the\ LCM. \\ \\ The\ answer\ is\ the\ multiple\ of\ 72. \\ \\ 72\ is\ not\ a\ perfect\ square. \\ \\ 72 \times 2 = 144\ is\ a\ perfect\ square. \\ \\ \\ \therefore 144\ is\ the\ smallest\ number\ which\ is\ divisible\ by\ 6,\ 8\ and\ 9 \\ and\ also\ a\ perfect\ square.$

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