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What is the least common multiple of $6$ , $8$ , and $12$ ? $\newline$ ____

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Least common multiple of three or four numbers

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Q. What is the least common multiple of

6

,

8

, and

12

?

\newline

____

Prime factorization of $6$ : Prime factorization of $6$ . Prime factorization of $6$ : $2 \times 3$ .
Prime factorization of $8$ : Prime factorization of $8$ . Prime factorization of $8$ : $2^3$ .
Prime factorization of $12$ : Prime factorization of $12$ . Prime factorization of $12$ : $2^2 \times 3$ .
Identify prime factors: Identify all distinct prime factors. $\newline$ Distinct prime factors: $2, 3$ .
Choose highest powers: Choose the highest powers of all prime factors. $\newline$ Highest powers: $2^3$ , $3$ .
Find LCM: Multiply the highest powers to find the LCM. $2^3 \times 3 = 24$ .

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