For Fun

Number Theory Level 2

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.

View wiki
Abdulrahman El Shafei by Abdulrahman El Shafei , 23, Egypt

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

The smallest number which divides all the numbers from 1 to 10 is the LCM of numbers from 1 to 10 which is 2520 2520

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Sorry,I wrote that wrong.It should have been the smallest number divisible by 1 to 10 .

Abdur Rehman Zahid - 6 years, 6 months ago

5x7x8x9 the highest numbers having all primes multiple

Mohamed Ashraf Mostafa - 6 years, 6 months ago
Nayanmoni Baishya
Nov 22, 2014

Lcm(1,2,3,...,10)=1x(2^3)x(3^2)x5x7=2520

1 Helpful 0 Interesting 0 Brilliant 0 Confused

bro, y u hav used 2^3 & 3^2 wht s d concept??

Vijay Hari Ram - 6 years, 6 months ago

Log in to reply

Factorised all the numbers from 1 to 10,in terms of the powers of the prime numbers.

Nayanmoni Baishya - 6 years, 6 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...