Question

Find a number between 500 and 600 which is divisible by 17 34 and 51

Answer 1

the number 513 is the answer to this problem

Answer 2

Answer:

The required number which is divisible by 17, 34 and 51 and lie between 500 and 600 is 510.

Step-by-step explanation:

To find : The number between 500 and 600 which is divisible by 17, 34 and 51?

Solution :

First we find the LCM of the numbers 17, 34 and 51.

2 | 17  34  51

17 | 17  17  51

3  |  1    1    3

   |  1     1    1    

$LCM(17,34,51)= 2\times17\times3$

$LCM(17,34,51)= 102$

The number 102 is divisible by 17,34 and 51. But it is not in between 500 and 600.

So, If we take five times the number the required number will lie between 500 and 600 i.e. $102\times 5=510$

The required number which is divisible by 17, 34 and 51 and lie between 500 and 600 is 510.