Question

what is the least common multiple of 5, 6, and 15?

Explanation:

Step1: Prime factorize each number

Prime factorization of \(5 = 5\)
Prime factorization of \(6 = 2\times3\)
Prime factorization of \(15 = 3\times5\)

Step2: Take the highest power of each prime

For prime \(2\), the highest power is \(2^1\)
For prime \(3\), the highest power is \(3^1\)
For prime \(5\), the highest power is \(5^1\)

Step3: Multiply these highest powers

\(LCM = 2\times3\times5 = 30\)

Answer:

30