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题库 / Prep2007E1-DS-142
If x is a positive integer, what is the least common multiple of x, 6, and 9 ?
(1) The least common multiple of x and 6 is 30.
(2) The least common multiple of x and 9 is 45.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
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如果x与6的最小公倍数是30，那么这3个数的最小公倍数就是30跟9的最小公倍数。
A选项，30=2*3*5， 6=2*3， X=5*2^(0,1)*3^(0,1)。这种情况下可以算出6，9=3^2，X的公倍数是90
B选项，同理45=3^2*5，9=3^2，X=5*3^(2,1,0)，这种情况下也可以算出公倍数是90
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