+0  
 
0
149
2
avatar+195 

What is the sum of all positive integers r  that satisfy 

 

lcm [ r, 700 ] = 7000

Rollingblade  Apr 12, 2018
 #1
avatar
0

Your question doesn't make sense!

If you were thinking of the LCM[10,700], it doesn't equal 7,000, but 700!.

Guest Apr 13, 2018
 #2
avatar+20033 
+1

What is the sum of all positive integers r  that satisfy 

lcm [ r, 700 ] = 7000

 

factorization

\(\begin{array}{|rcll|} \hline lcm [ r, 2^2\times 5^2\times 7^1] &=& 2^3\times 5^3 \times 7^1 \\\\ r &=& 2^3\times 5^3 \times 7^0 & = 1000 \\ r &=& 2^3\times 5^3 \times 7^1 & = 7000 \\ sum &=& & =8000 \\ \hline \end{array}\)

 

 

The sum of all positive integers r is 8000

 

laugh

heureka  Apr 13, 2018

32 Online Users

avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.