Question

what is the smallest length of a room in which an exact number of tables of length 12 meters and 9 meters can fit

Answer 1

The smallest length of the room will be the LCM of the length and width of the table

Length of room = LCM (9,12)
length of room = 36 m

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Answer 2

Answer:

The smallest length of the room is $36 m$ .

Step-by-step explanation:

There should be enough tables in the room to fill up the space. Therefore, the room's length should be a multiple of 12 and 9. We need to calculate the LCM of 12 and 9.

 LCM stands for "Least Common Multiple," or LCM. The smallest number that may be divided by both numbers is called the least common multiple of the two numbers.

Factors of 12 =  $2,2,3$

Factors of 9  =  $3,3$

lcm = $2 \times 2 \times 3 \times 3$

     =  $36$ m

36 m is the length of the room.  

Therefore, the number of 12 m tables  =  $36/12$

                                                               =  3

The number of 9 m tables  =  $36/9$

                                            =  4

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