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What is the least common multiple of $10$ , $3$ , 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

10

,

3

, and

12

?

\newline

_____

Prime factorization of $10$ : Prime factorization of $10$ . Prime factorization of $10$ : $2 \times 5$ .
Prime factorization of $3$ : Prime factorization of $3$ . Prime factorization of $3$ : $3$ .
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: $2$ , $3$ , $5$ .
Multiply highest powers: Multiply the highest powers of all prime factors. $\newline$ $2^2 \times 3 \times 5 = 60$ .

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