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lowest common multiple of 600 and 108

 Jun 28, 2015

Best Answer 

 #1
avatar+1667 
+10

What you would do is find the multiples of each number first (besides 0). For 600, there is 600, 1200, 1800, 2400, 3000, 3600, 4000, etc.

And for 108: 108, 216, 324, 432, 540, 648, etc.

The lowest number that is included in both sets would be 5,400, therefore that is the LCM.

 Jun 28, 2015
 #1
avatar+1667 
+10
Best Answer

What you would do is find the multiples of each number first (besides 0). For 600, there is 600, 1200, 1800, 2400, 3000, 3600, 4000, etc.

And for 108: 108, 216, 324, 432, 540, 648, etc.

The lowest number that is included in both sets would be 5,400, therefore that is the LCM.

Anonymous4338 Jun 28, 2015
 #2
avatar+95369 
+5

Excellent work anonymous4338 

Here is another way

 

$${factor}{\left({\mathtt{600}}\right)} = {{\mathtt{2}}}^{{\mathtt{3}}}{\mathtt{\,\times\,}}{\mathtt{3}}{\mathtt{\,\times\,}}{{\mathtt{5}}}^{{\mathtt{2}}}$$

$${factor}{\left({\mathtt{108}}\right)} = {{\mathtt{2}}}^{{\mathtt{2}}}{\mathtt{\,\times\,}}{{\mathtt{3}}}^{{\mathtt{3}}}$$

Include all factors but if the factor appears in both only include it once.

so lowest common multiple will be   $${{\mathtt{2}}}^{{\mathtt{3}}}{\mathtt{\,\times\,}}{{\mathtt{3}}}^{{\mathtt{3}}}{\mathtt{\,\times\,}}{{\mathtt{5}}}^{{\mathtt{2}}} = {\mathtt{5\,400}}$$

.
 Jun 30, 2015

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