X is the least common multiple of 96, 196 and 300. Which number below is not a factor of X?
A. 600
B. 700
C. 900
D. 2100
E. 4900
The OA is the option C.
How can I know the factors of X? Is there a fast way for solving this PS question? I'd appreciate any help.
X is the least common multiple of 96,196,300 . . . .
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Breaking each number into primes, we have:VJesus12 wrote:X is the least common multiple of 96, 196 and 300. Which number below is not a factor of X?
A. 600
B. 700
C. 900
D. 2100
E. 4900
96 = 32 x 3 = 2^5 x 3^1
196 = 4 x 49 = 2^2 x 7^2
300 = 3 x 100 = 3^1 x 2^2 x 5^2
The LCM is 2^5 x 3^1 x 5^2 x 7^2
Since 900 = 3^2 x 100, we see that 900 cannot be a factor of X.
Answer: C
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