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The least common multiple of 1!+2!+3!, 2!+3!+4!, and 3!+4!+5! can be expressed in the form a*b!, where a and b are integers and b is as large as possible. What is a+b?

 May 18, 2022
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LCM{1!+2!+3!,  2!+3!+4!,  3!+4!+5!} ==LCM{9,  32,  150} ==7,200

 

7,200 ==10 * 6!

 

10 + 6 ==16

 May 18, 2022

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