Question

Determinati cel mai mic multiplu comun al urmatoarelor numere naturale a) 36; 48;54 b)30;45;75 f) 72; 108 ;144 g)70; 105; 245 e)75; 100 ; 150

Answer 1

a)
36=2²·3²
48=2⁴·3
54=2·3³
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c.m.m.m.c.=2⁴·3³=432

b)
30=2·3·5
45=3²·5
75=3·5²
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c.m.m.m.c.=2·3²·5²=450 

f)
72=2³·3² 
108=2²·3³
144=2⁴·3²
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c.m.m.m.c.=2⁴·3³=432 

g) 
70=2·5·7
105=3·5·7 
245=5·7² 
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c.m.m.m.c.=2·3·5·7²=1470

e) 
75=3·5²
100=2²·5²
150=2·3·5²
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c.m.m.m.c.=2²·3·5²=300