Find the smallest $4 -$ digit number which is divisible by $18, 24$ and $32$ .

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Solution

$L C M o f 18, 24, 32 = 288$

$T h e s m a l l e s t f o u r d i g i t n u m b e r d i v i s i b l e b y 18, 24, 32 = 288 \times 4 = 1152$
$H e n c e, r e q u i r e d n u m b e r i s 1152$

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