Multiply???

Number Theory Level 2

Find the smallest natural number that has all numbers from 1-10 as factors.


The answer is 2520.

Ashwin Padaki by Ashwin Padaki , 20, USA

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2 solutions

Otto Bretscher
May 25, 2015

For each prime p ≤ 10 p\leq10 ,find the highest prime power p n ≤ 10 p^n\leq{10} , and multiply them together, 5 × 7 × 2 3 × 3 2 = 2520 5\times{7}\times2^3\times{3^2}=\boxed{2520}

3 Helpful 0 Interesting 0 Brilliant 0 Confused
Ramiel To-ong
Jun 19, 2015

LCM OF 1 - 10

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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