Find the LCM of Denominators: 5, 4, and 6

Question

Given three denominators, what is their least common multiple?

5   4   6 \boxed{5}~~~\boxed{4}~~~\boxed{6}

Step-by-Step Solution

To find the least common multiple (LCM) of 5, 4, and 6, identify the prime factors:

5=55 = 5

4=224 = 2^2

6=2×36 = 2 \times 3

The LCM is obtained by taking the highest power of each prime:

5×22×3=605 \times 2^2 \times 3 = 60

Answer

60