Question

a) MMC {15, 12) =<br />b) MMC (14, 6) =<br />c) MMC {7, 10) =<br />d) MMC (25, 40) =​

Answer 1

Resposta:

Explicação passo-a-passo:

a) MMC {15, 12) =

$\begin{array}{rr|c|c} & & MMC & MDC \\15, & 12 & 2\\ 15, & 6 & 2\\ 15, & 3 & 3 & 3\\ 5, & 1 & 5\\ 1, & 1\\ \end{array}\\ MMC\,\,\ 2^2 \cdot 3 \cdot 5 = 60\\ MDC\,\,\ 3 = 3$

b) MMC (14, 6) =

$\begin{array}{rr|c|c} & & MMC & MDC \\14, & 6 & 2 & 2\\ 7, & 3 & 3\\ 7, & 1 & 7\\ 1, & 1\\ \end{array}\\ MMC\,\,\ 2 \cdot 3 \cdot 7 = 42\\ MDC\,\,\ 2 = 2$

c) MMC {7, 10) =

$\begin{array}{rr|c} & & MMC\\7, & 10 & 2\\ 7, & 5 & 5\\ 7, & 1 & 7\\ 1, & 1\\ \end{array}\\ MMC\,\,\ 2 \cdot 5 \cdot 7 = 70$

d) MMC (25, 40) =​

$\begin{array}{rr|c|c} & & MMC & MDC \\25, & 40 & 2\\ 25, & 20 & 2\\ 25, & 10 & 2\\ 25, & 5 & 5 & 5\\ 5, & 1 & 5\\ 1, & 1\\ \end{array}\\ MMC\,\,\ 2^3 \cdot 5^2 = 200\\ MDC\,\,\ 5 = 5$