What is the LCM of 240 and 900?

Answer 1

To find the Least Common Multiple (LCM) of 240 and 900, we first need to find the prime factorization of each number. The prime factorization of 240 is 2^4 * 3 * 5, and the prime factorization of 900 is 2^2 * 3^2 * 5^2. The LCM is the product of the highest power of each prime factor that appears in either factorization, so the LCM of 240 and 900 is 2^4 * 3^2 * 5^2, which equals 3600.

Answer 2

240 = 2 x 2 x 2 x 2 x 3 x 5

900 = 2 x 2 x 3 x 3 x 5 x 5

Max is four 2's, two 3's and two 5's

So LCM is 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 = 3600