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in Number System by (25 points)
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lcm of 10,15,20

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First, we divide each by 2 if the number divides by 2 then we write the quotient otherwise we write the same number in the next line. Next, we will divide the numbers by 2 and the same procedure of writing is carried out. Again, next we divide by 3 and the same as above and again we divide by 5 and hence we obtain 1 in the last row. This is the end of the division procedure. We have to divide till we get 1 in the next row.
Now to find LCM of the given numbers we have to multiply the first column numbers that is
 LCM=2×2×3×5
 ⇒LCM=60
Therefore, the LCM of 10, 15 and 20 is 60.
If we have 3 numbers, we use a division method to find the LCM. Suppose if we want to find LCM of 2 numbers, we use the formula and hence we obtain the solution.

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