What is the least common multiple of 5,6 , and 9 ? Answer Attempt 1 out of 2 ◻ Submit Answer

Identify Prime Factorization: Identify the prime factorization of 5. Prime factorization of 5: 5Find Distinct Prime Factors: Identify the prime factorization of 6. Prime factorization of 6: 2 × 3Calculate LCM: Identify the prime factorization of 9. Prime factorization of 9: 3 × 3Identify all the distinct prime factors from the prime factorizations. Distinct prime factors: 2, 3, 5Multiply the highest powers of all distinct prime factors to find the LCM. Multiply 2^1, 3^2, and 5^1 to find the LCM. 2 × 3^2 × 5 = 2 × 9 × 5 = 90

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is the least common multiple of $5$ , $6$ , and $9$ ?

View step-by-step help

Home

Math Problems

Grade 6

Least common multiple of three or four numbers

Full solution

Q. What is the least common multiple of

5

6

, and

9

Identify Prime Factorization: Identify the prime factorization of $5$ . $\newline$ Prime factorization of $5$ : $5$
Find Distinct Prime Factors: Identify the prime factorization of $6$ . $\newline$ Prime factorization of $6$ : $2 \times 3$
Calculate LCM: Identify the prime factorization of $9$ . $\newline$ Prime factorization of $9$ : $3 \times 3$
Calculate LCM: Identify the prime factorization of $9$ . $\newline$ Prime factorization of $9$ : $3 \times 3$ Identify all the distinct prime factors from the prime factorizations. $\newline$ Distinct prime factors: $2, 3, 5$
Calculate LCM: Identify the prime factorization of $9$ . $\newline$ Prime factorization of $9$ : $3 \times 3$ Identify all the distinct prime factors from the prime factorizations. $\newline$ Distinct prime factors: $2, 3, 5$ Multiply the highest powers of all distinct prime factors to find the LCM. $\newline$ Multiply $2^1, 3^2,$ and $5^1$ to find the LCM. $\newline$ $2 \times 3^2 \times 5 = 2 \times 9 \times 5 = 90$