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# A wire is cut inot three equal parts. The resulting segments

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A wire is cut inot three equal parts. The resulting segments [#permalink]  19 Mar 2007, 10:13
A wire is cut inot three equal parts. The resulting segments are then cut into 4, 6, and 8 equal parts respectively.
If each of the resulting segments has an integer lenght, what is the minimum length of the wire?

Can someone provide an explaination to this problem? Thanks
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I did it like this

Take LCM of 4,6,8 which is 24
so for resulting pieces to have integer length...we have to have initial 3 equal length pieces of length 24.

Now for minimum length we have to consider piece cut in 8 so 24/8 is answer
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I'm probably way wrong... I'm bad at these algebra problems, so I'm waiting on a good explanation...

But...

I got that the minimum total length of the wire is 72

which when broken into 3 equal segments would be 24 units in length each

each of these three 24 unit segments would then be broken into 4, 6, and 8 segments, thus giving lengths of 6, 4, and 3 units in length respectively...

thus giving each of the smallest segments the smallest integer length that I can come up with...

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I think the question is minimum length of total wire. My answer is 72.
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