A sound sequence?

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Find the next term of this sequence: 1,2,6,12,60,60,420,840


The answer is 2520.

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1 solution

The the nth term is gcd(1,2,3,...,n) gcd(1)=1, gcd(1,2)=2, gcd(1,2,3)=6 etc

This gives gcd(1,2,3,4,5,6,7,8,9) or 840*3= 2520 as the solution.

lcm(1)=1,lcm(1,2)=2,lcm(1,2,3)=6 etc

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