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What is the smallest number that is divisible by 1,2,3,4,5,6,7,8,9 and 10? How do you know?

 Jul 20, 2020
 #1
avatar+179 
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We have to find the LCM of those numbers.

We can do these equations to find them out.

1=1*1

2=2*1

3=3*1

4=2^2

5=5*1

6=3*2

7=7*1

8=2^3

9=3^2

10=5*2

LCM=2^3 * 3^2 *5*7=2520.

Therefore smallest number which is divisible by 1,2,3,4,5,6,7,8,9 and 10 is 2520.

 

Yay!

 Jul 20, 2020
 #2
avatar+1130 
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10!/2/2/2/2/2/3/3/5=2520 since we already have 4, and 8 in the 10 and 6 we have the 2, 3's in 6,9 to leave 1, 3 left and 5 since there is 5 in 10 so our final answer is \(\Huge{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{2520}}}}}}}\)

 Jul 29, 2020

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