Question

Find the smallest number of six digits that is exactly divisible by $40,35,85,119$ and $136.$

• A. $184720$
• B. $164720$
• C. $134720$
• D. $104720$

Answer 1

The correct option is D $104720$

LCM of $40,35,85,119$ and $136$ $=2\times 2\times 2\times 17\times 5\times 7\times =4760$
Least number of six digits $=100000$
Dividing 100000 by 4760 we get remainder $=40$
$\therefore$ Least number of 6-digits exactly divisible by $4760$
$=100000+(4760-40)$
$=100000+4720=104720$