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

Guest Dec 9, 2014

Best Answer 

 #1
avatar+92781 
+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
 #1
avatar+92781 
+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

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