QuestionUse this method to find these LCMs in prime-power form: a) $\operatorname{LCM}(48,25,35)$ \begin{tabular}{|l|l|l|l|} \hline Primes & 48 & 25 & 35 \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline \end{tabular}

Studdy Solution
Determine the LCM by taking the highest power of each prime present.
- For $2$, the highest power is $2^4$. - For $3$, the highest power is $3^1$. - For $5$, the highest power is $5^2$. - For $7$, the highest power is $7^1$.
The LCM is:
$$\operatorname{LCM}(48, 25, 35) = 2^4 \times 3^1 \times 5^2 \times 7^1$$
The least common multiple in prime-power form is:
$\boxed{2^4 \times 3^1 \times 5^2 \times 7^1}$