Question

Find the least positive integer which if diminished by $5$ is exactly divisible by $36$ and $54$.

Answer 1

Since Number is divisible by $36$ & $54$

$\therefore LCM$ of $36$ & $54=2\times 2\times 3\times 3\times 3$

$=108$

$\therefore$ Least Number (LN) $\Rightarrow 108{+}^{\prime }{5}^{\prime }$

( Since no is diminished by $5$ )

$\therefore LN=113$

$\therefore$ least Number which if diminished by $5$ is exactly divisible by $36$ & $54\to 113$