What is the LCM of 75 and 150 and 225?

Answer 1

The LCM is 450.

Answer 2

LCM(75, 150, 225) = 450

Answer 3

To find the Least Common Multiple (LCM) of 75, 150, and 225, we need to first prime factorize each number.

75 = 3 * 5^2, 150 = 2 * 3 * 5^2, and 225 = 3^2 * 5^2.

The LCM is the product of the highest power of all prime factors present in the numbers, which is 2 * 3^2 * 5^2 = 450.

Therefore, the LCM of 75, 150, and 225 is 450.

Answer 4

Well, isn't that a happy little math question! To find the Least Common Multiple (LCM) of 75, 150, and 225, we'll look for the smallest number that all three can divide into evenly. First, we break down each number into its prime factors: 75 = 3 x 5^2, 150 = 2 x 3 x 5^2, and 225 = 3^2 x 5^2. Then, we take the highest power of each prime factor that appears in any of the numbers, which gives us 2 x 3^2 x 5^2 = 450. So, the LCM of 75, 150, and 225 is 450.

Answer 5

Well, honey, the Least Common Multiple (LCM) of 75, 150, and 225 is 450. It's like finding the smallest number that all three of these numbers can divide into without leaving a remainder. So, grab your calculator and do the math, darling!