Question

Which is the least number of $5$ digits exactly divisible by each of $3,4,5,6,7$ and $8?$

• A. $9240$
• B. $10080$
• C. $9996$
• D. $100000$

Answer 1

Answer: (B)

$10080$

Least number of 5 digits $=10000.$
L.C.M of $3,4,5,6,7,8=840.$
Dividing $10000$ by $840$ we get the remainder
as $760.$
$\therefore$ Required number
$=10000+(840-760)$
$=10000+80=10080$