Question

Find the sum of the numbers between 500 and 700 such that they are divisible by 6, 8 and 12 ?

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The sum is 5400.

Step-by-step explanation:

The least common multiple of the three numbers 6, 8, and 12 is 24.

Now, we have to find the multiples of 24 between 500 to 700.

Now, we have $\frac{500}{24} = 20.88$ and $\frac{700}{24} = 29.16$.

Therefore, the 21st multiples of 24 to 28th multiple of 24 lies between 500 and 700.

And they are 504, 528, 552, 576, 600, 624, 648, 672, and 696.

Therefore, the sum of those numbers above is

(504 + 528 + 552 + 576 + 600 + 624 + 648 + 672 + 696) = 5400 (Answer)