Question

On dividing a certain number by 8,10,12,14 the remainder is always 3. Which is the smallest such number ?

Answer 1

Answer:

➜LCM of 8,10,12,14 = 840

➜Remainder = 3

840 + 3 = 843

$\huge \green{ \boxed{ \sf \therefore 843 }}$

Answer 2

Answer:

843

Explanation:

Step 1 : Find LCM

• Least Common Multiple  is an abbreviation for LCM. The smallest number that is the product of two or more is called the least common multiple of a number.

     LCM for    $8 , 10 , 12 , 14 = 840$

Step 1 : Adding remainder into LCM

• The remainder is the amount "left over" after performing some     computation.

       $x = Given remainder + LCM of numbers$

      $x = 3 + 840$

    So, That number is   $843$

$\frac{843}{8} => Quotient = 105 , Remainder = 3$

$\frac{843}{10} => Quotient = 84 , Remainder = 3$

$\frac{843}{12} => Quotient = 70, Remainder = 3$

$\frac{843}{14} => Quotient = 60 , Remainder = 3$