What is the least common multiple of 44, 108, 135, 162 and 198?

Correct option is D

Given:

Number given are 44,108,135,162,198

Concept Used:

Prime factorization Method

Solution:

Prime factorization of numbers are:

​$$44 = 2^{2}\times 11$$​​

​$$108 = 2^{2}\times 3^{3}$$​​

​$$135 =3^{3}\times 5$$​​

​$$162 = 2\times3^{4}$$​​

​$$198 = 2\times3^{2}\times11$$​​

For LCM we include maximum number of all factors appearing, hence;

LCM = $$2^{2}\times 3^{4}\times 5 \times 11$$​​

= 17,820