Find the LCM: Calculating Least Common Multiple of 7, 11, and 13

To find the least common multiple (LCM) of the numbers 7, 11, and 13, we first recognize that all these numbers are prime. The LCM is given by multiplying these numbers together.

The formula for the LCM of three numbers $a, b, c$ is:

$\text{LCM}(a, b, c) = a \times b \times c$

Substituting into the formula gives:

$\text{LCM}(7, 11, 13) = 7 \times 11 \times 13$

Calculating the product:

$7 \times 11 = 77$

$77 \times 13 = 1001$

So, the least common multiple of 7, 11, and 13 is 1001.