Find the LCM of Denominators: 4, 6, 9, and 3

Question

Given four denominators, what is their least common multiple?

$\boxed{4}~~~\boxed{6}~~~\boxed{9}~~~\boxed{3}$

To find the least common multiple (LCM) of 4, 6, 9, and 3, we start by identifying the prime factors:

$4 = 2^2$

$6 = 2 \times 3$

$9 = 3^2$

$3 = 3$

The LCM will be found by taking the highest power of each prime present:

$2^2 \times 3^2 = 4 \times 9 = 36$