#1**+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.

Anonymous4338
Jun 28, 2015

#1**+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**+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 $${{\mathtt{2}}}^{{\mathtt{3}}}{\mathtt{\,\times\,}}{{\mathtt{3}}}^{{\mathtt{3}}}{\mathtt{\,\times\,}}{{\mathtt{5}}}^{{\mathtt{2}}} = {\mathtt{5\,400}}$$

Melody
Jun 30, 2015