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What is the least common multiple of $6$ and $10$ ? $\newline$ ____

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Least common multiple

Full solution

Q. What is the least common multiple of

6

and

10

?

\newline

____

List Multiples of $6$ : Step $1$ : List the multiples of $6$ . $\newline$ Start with $6$ and keep adding $6$ to find more multiples. $\newline$ Multiples of $6$ : $6, 12, 18, 24, 30, 36, 42, 48, 54, 60, \ldots$
List Multiples of $10$ : Step $2$ : List the multiples of $10$ . $\newline$ Start with $10$ and keep adding $10$ to find more multiples. $\newline$ Multiples of $10$ : $10, 20, 30, 40, 50, 60, 70, 80, 90, 100, \ldots$
Find Common Multiples: Step $3$ : Find the common multiples from both lists. $\newline$ Common multiples of $6$ and $10$ : $30$ , $60$ , ...
Identify Smallest Multiple: Step $4$ : Identify the smallest common multiple. $\newline$ The least common multiple of $6$ and $10$ is $30$ .

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