The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is: Choose the correct choice from the following answers:	A) 1677	B) 1683	C) 2523	D) 3363	E) 3565
L.C.M. of 5, 6, 7, 8 = 840.   Required number is of the form 840k + 3   Least value of k for which (840k + 3) is divisible by 9 is k = 2.   Required number = (840 x 2 + 3) = 1683.   Answer: Option 1683
<result>B</result>
The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is: