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What is the least common multiple of $7$ , $9$ , 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

7

,

9

, and

3

?

\newline

_____

Prime Factorization of $7$ : Step $1$ : Prime factorization of $7$ . $\newline$ Prime factorization of $7$ : $7$ (since $7$ is a prime number).
Prime Factorization of $9$ : Step $2$ : Prime factorization of $9$ . $\newline$ Prime factorization of $9$ : $3 \times 3$ .
Prime Factorization of $3$ : Step $3$ : Prime factorization of $3$ . $\newline$ Prime factorization of $3$ : $3$ (since $3$ is a prime number).
Identify Prime Factors: Step $4$ : Identify all distinct prime factors from the prime factorizations. $\newline$ Distinct prime factors: $7$ , $3$ .
Calculate LCM: Step $5$ : Multiply the highest powers of all distinct prime factors to find the LCM. $\newline$ Multiply $7$ and $3^2$ to find the LCM. $\newline$ $7 \times 3^2 = 7 \times 9 = 63$ .

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