Find the smallest four digit number which is divisible by 18 , 24 and 32
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Answers
HEY MATE!
The smallest 4 digit number which is divisible by 18, 24, and 32 is 1152.
EXPLANATION: The LCM of 18 ,32 ,and 24 is 288.
The smallest 4 digit number should necessarily be the multiple of 288.
so we have to find the smallest 4 digit number divisible by 288.
Therefore, 288×1=288
288×2=576
288×3=864
288×4=1152
That means 1152 is the smallest 4 digit number divisible by 288.
As 288 is divisible by 18, 24, and 32 , 1152 becomes the smallest 4 digit number divisible by 18 , 24 , and 32.
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ANSWER:-------
Four digit no. = )
{Since 288 is divisible by 18, 24 and 32, 1152 is also divisible by all these numbers.}
{Therefore,1152 is the smallest four digit number divisible by 18, 24 and 32.}
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