2/3, 3/7, 7/8 common denominator?

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2/3, 3/7, 7/8 common denominator?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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ok, so a common denominator means "what number can I multiply all the bottom numbers by *something* to get the same number" - i.e. what are they common multiples of
correct
so one sure way to get a common denominator - a number all of the bottom numbers are divisors of - is to multiply them all together

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so 168 is the common denominator.
yes, that is one common denominator for sure
since 168 is divisible by 3, 7, and 8 - and you know this is true since you multipled them all together
is that the lowest common denominator?
yes, I belive so: http://en.wikipedia.org/wiki/Least_common_multiple#Calculating_the_least_common_multiple
see the prime factorizatoin method part of that article
Thanks

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