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Successive Division

Find the leas...

Question

Find the least number which when divided by 6, 7, 8, 9 and 10 leaves remainder 1

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Solution

As the remainder is same
Required number = $L C M o f d i v i s o r s + R e m a i n d e r$
$= L C M (6, 7, 8, 9, 10) + 1$
$= 2520 + 1$
$= 2521$

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