It x, y, and z are positive intergers and 3x = 4y = 7z, then the least possible value of x + y + z is???

For the ones who were mad because I asked a dumb question i was just testing if this thing work, because I'm doing high school homework and it's so hard

[tex]3x = 4y = 7z \\ \Rightarrow \begin{cases}3x - 4y = 0 \\4y - 7z = 0 \\ 7z - 3x = 0\end{cases} \\ \Leftrightarrow \begin{cases}x = \frac{4}{3} y\\4y - 7z = 0 \\ 7z - 3( \frac{4}{3}y) = 0\end{cases} \\ \Leftrightarrow \begin{cases}x = \frac{4}{3} y\\4y - 7z = 0 \\ 7z - 4y= 0\end{cases} \\ \Leftrightarrow \begin{cases}x = \frac{4}{3} y\\ y \\ z = \frac{4}{7}y \end{cases} \\ x,y,z\: are\: intergers\Rightarrow y=LCM(3,7)=21\Rightarrow x = 28,z = 12 \\ \Rightarrow x + y + z = 61[/tex]

It x, y, and z are positive intergers and 3x = 4y = 7z, then the least possible value of x + y + z is???For the ones who were mad because I asked a dumb question i was just testing if this thing work, because I'm doing high school homework and it's so hard​

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It x, y, and z are positive intergers and 3x = 4y = 7z, then the least possible value of x + y + z is???

For the ones who were mad because I asked a dumb question i was just testing if this thing work, because I'm doing high school homework and it's so hard