Answer
450
Work Step by Step
The Least Common Multiple is the smallest number that is a multiple of all of the numbers listed. Remember, multiples of a number are all of the numbers that the number can be multiplied by a whole number to get that number. We find all of the prime factorizations:
$$ 5: 5 \\ 25: 5\cdot 5 \\ 18: 2\cdot 3\cdot 3 \\ 30: 2 \cdot 3\cdot 5$$
Thus, the least common multiple is:
$$ 5\cdot 5 \cdot 2 \cdot 3 \cdot 3 \\ 450$$
