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What is the least common multiple of $9$ , $6$ , and $3$ ? $\newline$ _____

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Least common multiple of three or four numbers

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Q. What is the least common multiple of

9

,

6

, and

3

?

\newline

_____

Find Prime Factorization of $9$ : Find the prime factorization of $9$ . Prime factorization of $9$ : $3 \times 3$
Find Prime Factorization of $6$ : Find the prime factorization of $6$ . $\newline$ Prime factorization of $6$ : $2 \times 3$
Find Prime Factorization of $3$ : Find the prime factorization of $3$ . $\newline$ Prime factorization of $3$ : $3$
Identify Distinct Prime Factors: Identify all distinct prime factors from the factorizations. $\newline$ Distinct prime factors: $2$ , $3$
Calculate LCM: Multiply the highest powers of all distinct prime factors to find the LCM. $\newline$ Multiply $2^1$ and $3^2$ to find the LCM. $\newline$ $2 \times 3 \times 3 = 18$

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