Question

The least number which when divided by $5,6,7$ and $8$ leaves a remainder $3$ is

• A. $423$
• B. $843$
• C. $1683$
• D. $2523$

Answer 1

Answer: (B)

$843$

Required no. $=(\text{LCM of}5,6,7,8)+3$
$\text{LCM}=2\times 2\times 2\times 3\times 5\times 7$
$=840$
Therefore, required number is $840+3=843$.