菜鸟数学求助

victoria_cc

If M is the least common multiple of 90, 196, and 300, which of the following is NOT a factor of M?

A.    600
B.    700
C.    900
D.    2,100
E.    4,900

haiziqi

菜鸟级，不会做哦。













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Rachel夏夕空

选A把。

90=3*2^2*5^2

196=2^2*7^2

300=3*2^2*5^2

所以common multiple is 3^2*2^2*5^2*7^2

而600=2^3*2^2*5^2   其中2需要2^3,比最小公倍数多一个2,所以果断选A.

其余的可以都被涵盖。

victoria_cc

谢谢啦