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What is the least common multiple of $10$ , $9$ , and $5$ ? $\newline$ ____

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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

,

9

, and

5

?

\newline

____

Prime factorization: Prime factorization of $10$ . $\newline$ Prime factorization of $10$ : $2 \times 5$ .
Identify distinct prime factors: Prime factorization of $9$ . Prime factorization of $9$ : $3 \times 3$ .
Multiply highest powers: Prime factorization of $5$ . Prime factorization of $5$ : $5$ .
Multiply highest powers: Prime factorization of $5$ . Prime factorization of $5$ : $5$ .Identify all distinct prime factors. Distinct prime factors: $2$ , $3$ , $5$ .
Multiply highest powers: Prime factorization of $5$ . Prime factorization of $5$ : $5$ .Identify all distinct prime factors. Distinct prime factors: $2, 3, 5$ .Multiply the highest powers of all prime factors. $2^1 \times 3^2 \times 5^1 = 2 \times 9 \times 5 = 90$ .

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