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What is the least common multiple of $12$ , $7$ , 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

12

,

7

, and

3

?

\newline

_____

Prime factorization of $12$ : Step $1$ : Prime factorization of $12$ . $\newline$ Prime factorization of $12$ : $2^2 \times 3$
Prime factorization of $7$ : Step $2$ : Prime factorization of $7$ . $\newline$ Prime factorization of $7$ : $7$ (since $7$ is a prime number)
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. $\newline$ Distinct prime factors: $2$ , $3$ , $7$
Multiply highest powers: Step $5$ : Multiply the highest powers of all distinct prime factors. $\newline$ LCM calculation: $2^2 \times 3 \times 7 = 4 \times 3 \times 7 = 84$

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