Question

Lowest common multiple for 1080, 1188, 1815

Answer 1

To find the lowest common multiple (LCM) of 1080, 1188, and 1815, we need to find the smallest number that is a multiple of all three numbers.

One way to find the LCM is to use prime factorization. We can prime factorize each number and then multiply the highest exponent of each prime factor to get the LCM.

1080 = 2^4 * 3^3

1188 = 2^2 * 3 * 199

1815 = 5 * 11 * 163

The LCM is:

2^4 * 3^3 * 5 * 11 * 163 = 1080 * 11 * 163

So the LCM of 1080, 1188, 1815 is 207940.