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QUESTION

How do you find the Least common multiple of ##28, 14, 21##?

84

##color(red)("A very different approach")##

##ul("number "|larr"prime factors "rarr|)## ##ul(" 14: 2 7 ")## ##ul(" 21: 3 7 ")## ##ul(" 28: 2 2 7 ")##

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The maximum occurrence of 2 on the lines is two times

So the beginnings of our LCM is ##" "2xx2## ........................................................................................ The maximum occurrence of 3 on the lines is 1 times

So the next stage of LCM is ##" "2xx2xx3## .................................................................................................... The maximum occurrence of 7 on the lines is 1 times

So the last stage of LCM is ##" "2xx2xx3xx7 = 84##

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