What is the sum of all positive integers r that satisfy

lcm [ r, 700 ] = 7000

Rollingblade
Apr 12, 2018

#1**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**+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**

heureka
Apr 13, 2018