Find the greatest 3 digit number that is exactly divisible by 6 15 and 21



Given: the numbers 6,15 and 21

To find:
The greatest 3 digit number that is exactly divisible by 6,15and 21

Solution: 

LCM of 6,15 and 21

2|6,15,21
|3,5,7


Therefore, LCM =2$\times$3$\times$5$\times$7

                             = 210

The Greatest 3 digit number that is exactly divisible by 6,15 and 21 is 210
 




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