Find the LCM of Denominators: 6, 8, and 10 - Step by Step

Question

Given several denominators, what is their least common multiple?

$\boxed6~~~\boxed8 ~~~\boxed{10 }$

Step-by-Step Solution

To find the least common multiple (LCM) of the denominators $6, 8, 10$ , we need to consider each prime factor of these numbers at their highest power:

$6 = 2 \times 3$
$8 = 2^3$
$10 = 2 \times 5$

Therefore, the LCM is:

$2^3 \times 3 \times 5 = 120$

So, the least common multiple of $6, 8, 10$ is $120$ .

Answer

120

Related Subjects

Common denominator

Question Types

Common Denominators: More than two fractions Common Denominators: The common denominator is smaller than the product of the denominators