Question

calcule o mmc de 28e12
400e240
128e300​

Answer 1

Resposta:

Explicação passo-a-passo:

$\begin{array}{rr|c|c} & & MMC & MDC \\28, & 12 & 2 & 2\\ 14, & 6 & 2 & 2\\ 7, & 3 & 3\\ 7, & 1 & 7\\ 1, & 1\\ \end{array}\\ MMC\,\,\ 2^2 \cdot 3 \cdot 7 = 84\\ MDC\,\,\ 2^2 = 4$

$\begin{array}{rr|c|c} & & MMC & MDC \\400, & 240 & 2 & 2\\ 200, & 120 & 2 & 2\\ 100, & 60 & 2 & 2\\ 50, & 30 & 2 & 2\\ 25, & 15 & 3\\ 25, & 5 & 5 & 5\\ 5, & 1 & 5\\ 1, & 1\\ \end{array}\\ MMC\,\,\ 2^4 \cdot 3 \cdot 5^2 = 1200\\ MDC\,\,\ 2^4 \cdot 5 = 80$

$\begin{array}{rr|c|c} & & MMC & MDC \\128, & 300 & 2 & 2\\ 64, & 150 & 2 & 2\\ 32, & 75 & 2\\ 16, & 75 & 2\\ 8, & 75 & 2\\ 4, & 75 & 2\\ 2, & 75 & 2\\ 1, & 75 & 3\\ 1, & 25 & 5\\ 1, & 5 & 5\\ 1, & 1\\ \end{array}\\ MMC\,\,\ 2^7 \cdot 3 \cdot 5^2 = 9600\\ MDC\,\,\ 2^2 = 4$