Question

Aflați c.m.m.d.c. şi c.m.m.m.c. al fiecărei grupe de numere
a)12; 18; 48
b)27; 54; 81
c)144; 180; 192

Answer 1

$a)\\ 12=2^{2} *3\\ 18=2*3^{2} \\ 48=6*8=2^{4} *3\\ c.m.m.d.c.=2*3=6\\ c.m.m.m.c.=2^{4}*3^{2}=16*9=144\\ b) \\ 27=3^{3} \\ 54=9*6=2*3^{3} \\ 81=3^{4} \\ c.m.m.d.c.=3^{3} =27\\ c.m.m.m.c.=2*3^{4} =2*81=162\\ c)\\144=12^{2} =2^{4} *3^{2} \\ 180=2^{2}* 3^{2} *5\\ 192=2^{6} *3\\ c.m.m.d.c.=2^{2} *3=12\\ c.m.m.m.c.=2^{6}*3^{2}*5=2880$

Answer 2

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