perplexus.info :: Just Math : Least L.C.M.

Least L.C.M. (Posted on 2006-05-19)

Find the least L.C.M. of 20 natural numbers, not necessarily different, whose sum is 801.

No Solution Yet Submitted by Ravi Raja

Rating: 3.0000 (2 votes)

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A little juggling and I got an LCM of 80 (probably not the least) by using 1, 80, and eighteen 40's

The principle seems to be to use a lot of copies of a number, then use 1's as needed to make up the 20 numbers.

Posted by Jer on 2006-05-19 12:40:24

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