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# lowest common multiple of 600 and 108

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lowest common multiple of 600 and 108

Guest Jun 28, 2015

#1
+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.

Anonymous4338  Jun 28, 2015
Sort:

#1
+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.

Anonymous4338  Jun 28, 2015
#2
+92164
+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

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