Find the greatest 3 digit number which is divisible by the number 4 ,5 and 6.

Given :

The greatest three digit number which is divisible by the numbers 4 ,5 and 6

To find :

We have to find the greatest three digit number.

Solution :

The greatest three digit number which is divisible by the numbers 4 ,5 and 6 is a multiple of the LCM of 4,5 and 6.

LCM of 4,5 and 6 is,

$4 = 2\times2$

$5 =1\times5$

$6=2\times3$

LCM of 4,5 and 6 $= 2\times2\times3\times5 = 60$.

Multiples of 60 are

60,120,180,240,300,360,420,480,540,600,660,720,780,840,900,960,1020,....

Therefore, the greatest three digit number which is divisible by the numbers 4 ,5 and 6 is 960.  

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Updated on: 10-Oct-2022

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