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2007 AIME I Problems/Problem 4

Revision as of 16:42, 15 March 2007 by Monkeymatt (talk | contribs)
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First you prime factor all of the numbers: $\displaystyle 60=2^2*3*5$, $\displaystyle 84=2^2*3*7$, and $\displaystyle 140=2^2*5*7$. To find out when they are next collinear, you take $\displaystyle \frac{lcm}{gcf}$, which is $\displaystyle \frac{2^2*3*5*7}{2^2}=\frac{420}{4}=105$

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