Question

нок 48,50,72 , нок 100,126,64 пж помогите ​

Answer 1

Ответ:

НОК(48,50,72)=3600

НОК(100,126,64)=100800

Пошаговое объяснение:

$\begin{array}{r|r}48&2 \\ 24&2 \\ 12&2 \\ 6&2 \\ 3&3 \\ 1&\; \\ \end{array}}\ \ \ \ \ \ \ \ \ \begin{array}{r|l}50&2 \\ 25&5 \\ 5&5 \\ 1&\; \\\\\\ \end{array}} \ \ \ \ \ \ \ \ \ \ \begin{array}{r|l}72&2 \\ 36&2 \\ 18&2 \\ 9&3 \\ 3&3 \\ 1&\; \\ \end{array}$

$48=\underline{2^{4}}\cdot 3\\\\50=2\cdot\underline{5^2}\\\\72=2^3\cdot\underline{3^2}$

НОК(48,50,72)=$2^{4}\cdot3^{2}\cdot5^{2}=3600$

$\begin{array}{r|r}100&2 \\ 50&2 \\ 25&5 \\ 5&5 \\ 1&\; \\\\\\ \end{array}\ \ \ \ \ \ \ \ \ \ \begin{array}{r|l}126&2 \\ 63&3 \\ 21&3 \\ 7&7 \\ 1&\; \\\\\\ \end{array}\ \ \ \ \ \ \ \ \ \ \ \begin{array}{r|l}64&2 \\ 32&2 \\ 16&2 \\ 8&2 \\ 4&2 \\ 2&2 \\ 1&\; \\ \end{array}$

$100=2^2\cdot\underline{5^2}\\\\126=2\cdot\underline{3^2}\cdot\underline{7}\\\\64=\underline{2^6}$

НОК(100,126,64)=$2^{6}\cdot3^{2}\cdot 5^{2}\cdot7=100800$