LCM of $12,14,21,33,54$

Or, LCM of $2 \times 2 \times 3,$ $2 \times 7,$ $3 \times 7,$ $3 \times 11,$ $2 \times 3 \times 3 \times 3$.

Or, LCM of $12,14,21,33,54$ is $2^2 \times 3^3 \times 7 \times 11$ i.e. $8316$

Now, the derived number should be a multiple of $8316$ in order to get derived by $12.14.21.33.54.$

∴ $8316 \times 1 = 8316$ & $8316-7249 = 1067$

$8316 \times 2 = 16632$ & $16632-7249 = 9383$

$8316 \times 3 = 24948$ & $24948-7249 = 17699$

$8316 \times 4 = 33264$ & $33264-7249 = 26015$

$8316 \times 5 = 41580$ & $41580-7249 = 34331$

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So, $1067$ is the smallest $4-digit$ number to be added with $7249$ in order to divide the number by $12,14,21,33,54$

$9383$ is the largest $4-digit$ number to be added with $7249$ in order to divide the number by $12,14,21,33,54.$

Now, we can observe that after $9383$, the numbers are not $4-digit$, they are $5-digit$ numbers.

∴ The answer will be $\color{purple}{9383}- \color{maroon}{\text{option B)}}$