Question

1)НСД(18,24,30)
2)НСК(18,24,30)
С РЕШЕНИЕ
ДАЮ(15-20 БАЛЛОВ)​

Answer 1

Ответ:

6

360

Пошаговое объяснение:

${\begin{array}{l}{\begin{array}{r|r}18&2 \\ 9&3 \\ 3&3 \\ 1&\; \\ \end{array}} \\ {\begin{array}{l}\phantom{8} \\ \phantom{8} \\ \end{array}} \\ \end{array}}&&{\begin{array}{l}{\begin{array}{r|l}24&2 \\ 12&2 \\ 6&2 \\ 3&3 \\ 1&\; \\ \end{array}} \\ {\begin{array}{l}\phantom{8} \\ \end{array}} \\ \end{array}}&&{\begin{array}{l}{\begin{array}{r|l}30&2 \\ 15&3 \\ 5&5 \\ 1&\; \\ \end{array}} \\ {\begin{array}{l}\phantom{8} \\ \phantom{8} \\ \end{array}} \\ \end{array}}$

$18=2\cdot 3\cdot 3=2\cdot 3^{2}\\24=2\cdot 2\cdot 2\cdot 3=2^{3}\cdot 3\\30=2\cdot 3\cdot 5=2\cdot 3\cdot5$

НCД(18,24,30)=2⋅3=6

НСК(18,24,30)=2³⋅3²⋅5=360