What is the least common multiple of 3 and 10 ? lcm(3,10)=

Identify Prime Factorization: Identify the prime factorization of 3. Prime factorization of 3: 3Find Distinct Prime Factors: Identify the prime factorization of 10. Prime factorization of 10: 2 × 5Calculate Least Common Multiple: Identify all the distinct prime factors from the prime factorization of the two numbers. Distinct prime factors: 2, 3, 5Multiply the distinct prime factors to find the least common multiple (LCM). Multiply 2, 3, and 5 to find the LCM. 2 × 3 × 5 = 30 LCM of 3 and 10 is 30.

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What is the least common multiple of 3 and 10 ?

lcm(3,10)=

What is the least common multiple of $3$ and $10$ ? $\newline$ $\operatorname{lcm}(3,10)=$

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Math Problems

Grade 6

Least common multiple of three or four numbers

Full solution

Q. What is the least common multiple of

3

and

10

\newline

\operatorname{lcm}(3,10)=

Identify Prime Factorization: Identify the prime factorization of $3$ . $\newline$ Prime factorization of $3$ : $3$
Find Distinct Prime Factors: Identify the prime factorization of $10$ . Prime factorization of $10$ : $2 \times 5$
Calculate Least Common Multiple: Identify all the distinct prime factors from the prime factorization of the two numbers. $\newline$ Distinct prime factors: $2$ , $3$ , $5$
Calculate Least Common Multiple: Identify all the distinct prime factors from the prime factorization of the two numbers. $\newline$ Distinct prime factors: $2, 3, 5$ Multiply the distinct prime factors to find the least common multiple (LCM). $\newline$ Multiply $2, 3,$ and $5$ to find the LCM. $\newline$ $2 \times 3 \times 5 = 30$ $\newline$ LCM of $3$ and $10$ is $30$ .