$$ \DeclareMathOperator{\lcm}{lcm} \DeclareMathOperator{\gcd}{gcd} $$
I have to find the $\lcm(39,102,75)$. I am thinking of using a recursive formula like this:
$$ \lcm(39,102,75) = \frac{\lcm(39 \times 102) \times 75}{\gcd(39,102,75)} = \frac{\frac{39 \times 102 \times 75}{\gcd(39, 102)}}{\gcd(39,102,75)} $$
I get a result of 33150 which indeed is the $\lcm(39,102,75)$ by inspection. This seems to be similar to what A method to find out LCM(least common multiple) for a list of numbers is doing, but I have expanded it fully to make sense of it. Is this right?