Find the Least Common Multiple $(LCM)$ for the following pairs and match them with the correct options:
$Q.1.$ $\text{LCM}(7, 49)$$A. 50$
$Q.2.$ $\text{LCM}(10, 25)$$B. 49$
$C. 51$
$D. 50$

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(Q.1-B, Q.2-A) Step $1$: Find the $\text{LCM}(7, 49)$.
Since $49$ is a multiple of $7$ $(7 \times 7 = 49)$,the $\text{LCM}$ of $7$ and $49$ is $49$.
Step $2$: Find the $\text{LCM}(10, 25)$.
Prime factorization of $10 = 2 \times 5$.
Prime factorization of $25 = 5 \times 5$.
$\text{LCM}(10, 25) = 2 \times 5 \times 5 = 50$.
Therefore,$Q.1$ matches with $B$ and $Q.2$ matches with $A$ (or $D$ as they are identical).

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