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Let m be the least common multiple of 1,2,3, ..., 20. How many positive divisors does m have?

 Mar 24, 2019
 #1
avatar+102417 
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LCM 20

 

1, 2 , 3, 2^2, 5, 6, 7, 2^3, 3^2, 10, 11, 12, 13, 14, 15, 2^4, 17, 18, 19 , 20  =

 

5 * 7 * 3^2 * 11 * 13 * 2^4 * 17 * 19   

 

It will have

2 * 2 * 3 * 2 * 2 * 5 * 2 * 2  = 

 

960 positive divisors

 

 

cool cool cool

 Mar 24, 2019
 #2
avatar+102792 
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Continued here

 

https://web2.0calc.com/questions/qs-help

BUT please now continue it here!

 

 

I have taken a photo because all answers should be here. 

 

 Jul 28, 2019
edited by Melody  Jul 28, 2019
 #3
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srry melody but it was locked

Guest Jul 28, 2019
 #4
avatar+102792 
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Yes I understood that.  :)

Next time you can send me a message and ask me to unlock it.

You can still write a new post but put an easy to use link and ask people to do the actual answer on the original post.

They can also put a comment on the new post saying that they have added an answer.

 

It is a bit of a rigmarole, sorry about that, but I do not see a better way.

Melody  Jul 29, 2019
 #5
avatar+102792 
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Do you understand now?

 Jul 29, 2019

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