SOLUTION: What is the smallest natural number (1,2,3,4,5,…) that is divisible by each of the first ten natural numbers?

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: What is the smallest natural number (1,2,3,4,5,…) that is divisible by each of the first ten natural numbers?       Log On


   

Question 254847: What is the smallest natural number (1,2,3,4,5,…) that is divisible by each of the first ten natural numbers?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
(1,2,3,4,5,6,7,8,9,10)
2=2
3=3
4=2*2
5=5
6=2*3
7=7
8=2*2*2
9=3*3
10=2*5
Look for the max. # of times each prime is used.
N=(2*2*2)*(3*3)*5*7=2520