Finding the Least Common Denominator

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Find the least common denominator of a set of fractions by calculating the multiples of the denominators and finding the common number of the lowest value. Find out how to determine the multiples of a number with help from a tutor in this free video on math.

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Video Transcript

Hi, my name is Samir Malik, and I'm a private tutor for middle school and high school students in the Austin area. Today, we're going to find out how to find the least common denominator, and finding the least common denominator is basically the same as finding the least common multiple, because what we do is we take a set of fractions and we try to multiply the denominators by their multiples, and then we basically take the smallest number to find the least common multiple. I'd like to illustrate this with a, with an example. So, we're trying to find the least common denominator of one fifth, one sixth, and one fifteenth. So, what we need to do is we take the multiples of five, multiples of five and we get five, ten, fifteen, twenty, twenty five, and thirty. Then we take the multiples of six, and we get six, twelve, eighteen, twenty four, and thirty. Then we take the multiples of fifteen, and we get fifteen, and thirty, and we realize the smallest number they all have in common is thirty, so the least common denominator equals thirty, because it is the only number they they have in common as far as their multiples are concerned which is the least number that they have in common. So, from this we're able to understand how to find the least common denominator. And basically, all we do is we take the multiples of the denominators for those fractions, and find out which number is the least common multiple from the multiples of the denominators which we've solved.

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