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What is the least common multiple of $4$ , $10$ , and $2$ ? $\newline$ ____

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Least common multiple of three or four numbers

Full solution

Q. What is the least common multiple of

4

,

10

, and

2

?

\newline

____

Find Prime Factorization of $4$ : Find the prime factorization of $4$ . $\newline$ Prime factorization of $4$ : $2 \times 2$
Find Prime Factorization of $10$ : Find the prime factorization of $10$ . $\newline$ Prime factorization of $10$ : $2 \times 5$
Find Prime Factorization of $2$ : Find the prime factorization of $2$ . $\newline$ Prime factorization of $2$ : $2$
Identify Distinct Prime Factors: Identify all distinct prime factors from the factorizations. $\newline$ Distinct prime factors: $2, 5$
Multiply Highest Power for LCM: Multiply the highest power of each distinct prime factor to find the LCM. $\newline$ Multiply $2^2$ (from $4$ ) and $5$ (from $10$ ). $\newline$ $2^2 \times 5 = 20$

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