Question

Qual eo mmc de 900 400 300

Answer 1

Olá.

Vamos fazer a fatoração:
$\begin{array}{rrrlll}900,&400&300&|&2\\450,&200&150&|&2\\225,&100&75&|&5\\45,&20&15&|&5\\9,&4&3&|&3\\3,&4&1&|&3\\1,&4&1&|&2\\1,&2&1&|&2\\1,&1&1&|&=&2^4\cdot3^2\cdot5^2\\\end{array}\\\\\\\\ \mathsf{2^4\cdot3^2\cdot5^2=}\\\\ \mathsf{16\cdot9\cdot25=}\\\\ \boxed{\mathsf{3.600}}$

MDC(900, 400, 300) = 3.600.

Qualquer dúvida, deixe nos comentários.
Bons estudos.

Answer 2

mmc(900,400,300)=3.600

900,400,300|2
450,200,150|2
225,100,75  |2
225,50  ,75  |2
225,25  ,75  |3
75  ,25  ,25  |3
25  ,25  ,25  |5
5    ,5    ,5    |5             2x2x2x2x3x3x5x5=3.600
1   ,  1  ,  1   |-----------------------------------------