+0  
 
+1
97
1
avatar+739 

The least common multiple of two positive integers is 7!, and their greatest common divisor is 9. If one of the integers is 315, then what is the other?
 

MIRB16  Apr 30, 2018
 #1
avatar+20001 
+1

The least common multiple of two positive integers is 7!, 

and their greatest common divisor is 9. If one of the integers is 315,

then what is the other?
 

Formula:

\(\begin{array}{|rcll|} \hline GCD(M, N) \times LCM(M, N) &=& M \times N \\ \hline \end{array}\)

 

\(\begin{array}{|rcll|} \hline GCD(M, N) \times LCM(M, N) &=& M \times N \\ 9\times 7! &=& 315\cdot N \\\\ N &=& \dfrac{9\times 7!}{315} \\\\ &=& \dfrac{ 7!}{35} \\\\ &=& \dfrac{ 2\times 3 \times 4 \times 5 \times 6 \times 7 }{5\times 7} \\\\ &=& 2\times 3 \times 4 \times 6 \\\\ &=& 144 \\ \hline \end{array} \)

 

The other is 144

 

laugh

heureka  Apr 30, 2018

10 Online Users

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.