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Question

Using Common Division Method, determine the LCM of the numbers in each of the following : 60,70,108


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Solution

In Common Division Method, we try and divide the numbers with a common number until we are left with prime numbers

260,70,108
230,35,54
315,35,27
55,35,9
1,7,9

Since there is no common number which divides two or more number so we leave the division here

Now the LCM will be the multiple of all the number with which we have divided the given numbers and the remaining prime numbers

so the LCM of 60,70,108 is 2×2×3×5×7×9=3780


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