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What is the least common multiple of $7$ , $3$ , and $2$ ? $\newline$ ____

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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

,

3

, and

2

?

\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 $3$ : Step $2$ : Prime factorization of $3$ . $\newline$ Prime factorization of $3$ : $3$ (since $3$ is a prime number).
Prime Factorization of $2$ : Step $3$ : Prime factorization of $2$ . $\newline$ Prime factorization of $2$ : $2$ (since $2$ is a prime number).
Identify Distinct Prime Factors: Step $4$ : Identify all distinct prime factors from the numbers. $\newline$ Distinct prime factors: $7$ , $3$ , $2$ .
Multiply Distinct Primes: Step $5$ : Multiply the distinct primes to find the LCM. $\newline$ Multiply $7$ , $3$ , and $2$ to find the LCM. $\newline$ $7 \times 3 \times 2 = 42$ $\newline$ LCM of $7$ , $3$ , and $2$ is $42$ .

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