Find the Smallest multiple of 4,5and 6 which is a perfect cube?
Dear Student.
The LCM of 4, 5, 6 is 60
Now a number is a perfect cube if it's factors appear in the multiples of 3.
60 = 2 x 2 x 3 x 5
So we have to multiply it by 2 x 3 x 3 x 5 x 5 so that it's factor appear in the multiples of 3.
=450
We hope that this answer solves your query.
Regards.
The LCM of 4, 5, 6 is 60
Now a number is a perfect cube if it's factors appear in the multiples of 3.
60 = 2 x 2 x 3 x 5
So we have to multiply it by 2 x 3 x 3 x 5 x 5 so that it's factor appear in the multiples of 3.
=450
We hope that this answer solves your query.
Regards.