#### Answer

108

#### Work Step by Step

6, 9, 27, 36
First let's note down the multiples of each.
We do not need to find multiple of 6 and 9 as
27 & 36 are the multiple of 9 and
36 is multiple of 6
Multiples of 27 : 27, 54, 81, 108, 135, ..
Multiples of 36 : 36, 72, 108, 144, 180,..
Looking at the above, 108 is the least common multiple of 6, 9, 27, 36.