Multiply vector by number that rescales to integers - what is the name?

Asked May 16 '15 at 19:02

Active May 16 '15 at 19:02

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What is the name of the number that rescales a set of rational numbers s.t. they are all integers? E.G., 1,000 in the following example.

> c(-.11, -.105, -.1) * 1000
[1] -110 -105 -100

However, if the first number was .1111, the number is instead 10,000.

> c(.1111, -.105, -.1) * 10000
[1]  1111 -1050 -1000

It seems like it should be simple enough but I can't think of the right name. I tried to relate it to the significand but that didn't make sense.

asked May 16 '15 at 19:02

Give it a name. This is math, names count not. – zoli May 16 '15 at 19:04
It's the least common multiple of the denominators. – Henrik supports the community May 16 '15 at 19:06
Aka the least common denominator. – 2'5 9'2 May 16 '15 at 19:07
When you're multiplying by the least common multiple of the denominators, it's sometimes common to say that you're "clearing denominators". – Hayden May 16 '15 at 19:07
Sorry, why is it the LCD? Isn't the LCD of c(-.11, -.105, -.1) 200, not 1000? – Henry David Thorough May 16 '15 at 19:22
Oh I see, that's the smallest number s.t. all numbers are rational. Got it, cool. – Henry David Thorough May 16 '15 at 19:24

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