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)   (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.











As you can see the common multiples are 2 and 3.But, the greatest power of 2 calculated is {{2^3}}} and for 3,
We multiply them both.


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



Therfore, the number you're up to is 7560

Power up,
Hyperbrain!

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