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:
A) 2377 B) 1683 C) 2677 D) 9972 E) 1611
Explanation:   L.C.M. of 5, 6, 7, 8 = 840.   {\color{Blue} \therefore } Required number is of the form 840k + 3   Least value of k for which (840k + 3) is divisible by 9 is k = 2.   {\color{Blue} \therefore } Required number = (840 x 2 + 3) = 1683.   Answer: 1683) 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: