Question

Calculați cel mai mic multiplu comun al numerelor:
a) -24; 48; -72
b) 90; -100; 300
c) 180; -320; -432.
Mulțumesc!
Dau 99 de puncte, va rog, repede.

Answer 1

$a) \\ -24 = - 2^{3} * 3 \\ 48 = 6*8 = 2*3*2^{3} = 2^{4} *3 \\ -72 =- 36*2 = 2^{2}*3^{2} *2= 2^{3}*3^{2} \\ c.m.m.m.c. = -2^{4}*3^{2}=-16*9=-144 \\ b) \\ 90=3*30=3*3*10=3^{2}*2*5\\-100=-10^{2}=-2^{2}*5^{2}\\300=3*100=3*2^{2}*5^{2}\\ c.m.m.m.c.=-3^{2}*5^{2}*2^{2}=-9*100=-900\\c)\\180=3*60=3*6*10=3*3*2*2*5=3^{2}*2^{2}*5\\ -320=-3*80=-3*8*10=-3*2^{4}*5\\ -432=-2^{2}*108=2^{3}*54=2^{3}*6*9=2^{3}*2*3*3*3=2^{4}*3^{3}\\ c.m.m.m.c. = -2^{4}*3^{3}*5=-16*27*5=-2170$

Sper c-am fost de ajutor!