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These problems are mostly math-related. That's not to say that they're all straightforward. You'll still need to flex your noggin to figure them out!
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Positive integers a, b, c satisfy
lcm(gcd(a,b),c)=180
lcm(gcd(b,c),a)=360
lcm(gcd(c,a),b)=540
Find the minimum possible value of a+b+c.
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