A number theory problem by Kenneth Gravamen

A group of Archaeologists discovered some simple hieroglyphs on the stone lid of a tomb in Egypt. When they translated them they realized that it was a four digit number, but more remarkably it is the smallest number that can be divided by all of the numbers from 1 to 10 without any remainder. What was that number?


The answer is 2520.

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2 solutions

Shreya R
Oct 18, 2014

Just find the lcm of numbers 1-10 , and you're done! A way too overrated problem to be level 3!!

Natsir Muhammad
Nov 1, 2014

The smallest number is 2520 = 7 × 30 × 12

sum days of one week = 7

sum days of one month = 30 (not 28, 29 and 31, why? :p )

and sum months of one year = 12

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