SOLUTION: What is the smallest number that is divisible by each of the numbers 1 through 10?

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Question 106219: What is the smallest number that is divisible by each of the numbers 1 through 10?
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
The number is the LEAST COMMON MULTIPLE of 1,2,3,4,5,6,7,8,9, and 10
To compute the LCM, first let's find the prime factorizations.
1=1
2=2
3=3
4=2%5E2
5=5
6=2%2A3
7=7
8=2%5E3
9=3%5E2
10=2%2A5

As you can see the common multiples are 2 and 3.But, the greatest power of 2 calculated is {{2^3}}} and for 3, 3%5E2
We multiply them both.
2%5E3+%2A+3%5E2=8%2A27=216

let's also multiply the OTHER factors----5 and 7

216%2A5%2A7=216%2A35=7560

Therfore, the number you're up to is 7560

Power up,
Hyperbrain!