1. The problem asks for the Least Common Multiple (LCM) of the numbers 5, 3, and 6. 2. Recall that the LCM of a set of integers is the smallest positive integer that is divisible by all the numbers in the set. 3. First, factor each number into its prime factors: - 5 = $5$ - 3 = $3$ - 6 = $2 \times 3$ 4. To find the LCM, take the highest power of each prime that appears in any of the factorizations: - Highest power of 2 is $2^1$ - Highest power of 3 is $3^1$ - Highest power of 5 is $5^1$ 5. Multiply these together to get the LCM: $$LCM = 2 \times 3 \times 5 = 30$$ 6. Therefore, the least common multiple of 5, 3, and 6 is $30$.