+0  
 
0
195
1
avatar

what is the lowest common multiple of 2x3^2x5^4x7 and 750

Guest Dec 9, 2014

Best Answer 

 #1
avatar+91436 
+5

$$\\LCM \;of\;\;2\times3^2\times5^4\times7 \;\;and \;\;750\\\\
Well\; 750=3*250=3*2*5*5*5=2\times 3 \times 5^3$$

 

Lets look at these two

 

$$\\2 \times 3 \times 5^3\qquad \times \qquad 3\times 5\times 7\quad=\quad 2\times 3^2 \times 5^4\times 7\\\\
750\qquad \qquad \quad \times \qquad 3\times 5\times 7\quad=\quad 2\times 3^2 \times 5^4\times 7\\\\$$

 

$$\\So\;\;750 $ is a factor of the $ 2\times 3^2 \times 5^4\times 7\\\\
$ So the lowest common multiple of these two is 2\times 3^2 \times 5^4\times 7$$

Melody  Dec 9, 2014
Sort: 

1+0 Answers

 #1
avatar+91436 
+5
Best Answer

$$\\LCM \;of\;\;2\times3^2\times5^4\times7 \;\;and \;\;750\\\\
Well\; 750=3*250=3*2*5*5*5=2\times 3 \times 5^3$$

 

Lets look at these two

 

$$\\2 \times 3 \times 5^3\qquad \times \qquad 3\times 5\times 7\quad=\quad 2\times 3^2 \times 5^4\times 7\\\\
750\qquad \qquad \quad \times \qquad 3\times 5\times 7\quad=\quad 2\times 3^2 \times 5^4\times 7\\\\$$

 

$$\\So\;\;750 $ is a factor of the $ 2\times 3^2 \times 5^4\times 7\\\\
$ So the lowest common multiple of these two is 2\times 3^2 \times 5^4\times 7$$

Melody  Dec 9, 2014

11 Online Users

avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details