What is the least number which when increased by $1$ is exactly divisible by $12, 18, 24, 32$ and $40 ?$

1439

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1440

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1449

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1459

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Solution

The correct option is A $1439$
Required number :
L.C.M of $(12, 18, 24, 32, 40) - 1$
$= 1440 - 1$
$= 1439$

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