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

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Question 106220: What is the smallest number that is divisible by each of the numbers 1 through 10?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the least common denominator.
Break down all of the numbers in their prime factors.
Find the product of the prime factors with the highest power.
1=1%2A1
2=1%2A2
3=1%2A3
4=2%2A2
5=1%2Ahighlight%285%29
6=2%2A3
7=1%2Ahighlight%287%29
8=highlight%282%2A2%2A2%29
9=highlight%283%2A3%29
10=2%2A5
Primes are 2,3,5,and 7.
The highest power of the primes is 2%5E3,3%5E2,5%5E1, and 7%5E1.
The product is,
LCD= 2%5E3%2A3%5E2%2A5%5E1%2A7%5E1
LCD= 8%2A9%2A5%2A7
LCD= 2520.