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What is the fastest way to find the least common denominator of all the fractions without losing too much time?

7/9 , 1/4, 14/15, 2/3, 1/2

Thanks.

Math is fun
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  • http://stackoverflow.com/questions/3154454/what-is-the-most-efficient-way-to-calculate-the-least-common-multiple-of-two-int – mvw May 22 '14 at 11:33

2 Answers2

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I don't have 50 rep, so I make an anwser, but I know it does not merit one. You just have to see what is 1- each of these fraction. It is in this case an easier way of "seeing" the order.

Martigan
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NOTE: Your title does not ask the same as the body. I am answering the body.

Decompose each denominator : $$9 = 3^2, \quad 4 = 2^2, \quad, 15 = 3\cdot5, \quad 3 = 3, \quad 2 = 2$$

You least common denominator is the lowest common multiple hence by inspection we deduce it's: $$2^2\cdot3^2\cdot 5 = 4\cdot 9\cdot 5 = 180$$

user88595
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