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What is the least common multiple of $7$ , $6$ , and $3$ ? $\newline$ ____

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Least common multiple of three or four numbers

Full solution

Q. What is the least common multiple of

7

,

6

, and

3

?

\newline

____

Identify Prime Factorization of $7$ : Identify the prime factorization of $7$ . $\newline$ Prime factorization of $7$ : $7$
Identify Prime Factorization of $6$ : Identify the prime factorization of $6$ . $\newline$ Prime factorization of $6$ : $2 \times 3$
Identify Prime Factorization of $3$ : Identify the prime factorization of $3$ . Prime factorization of $3$ : $3$
Identify Distinct Prime Factors: Identify all the distinct prime factors from the prime factorizations of the three numbers. $\newline$ Distinct prime factors: $2$ , $3$ , $7$
Find Least Common Multiple: Multiply the distinct prime factors to find the least common multiple (LCM). $\newline$ Multiply $2$ , $3$ , and $7$ to find the LCM. $\newline$ $2 \times 3 \times 7 = 42$

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