Question

What is the LCM of 2/9 and 11/6

Answer 1

The LCM of given fraction is
`(22)/(3)`

Explanation:

Given as :

The number are

`(2)/(9)` and
`(11)/(6)`

The LCM of fraction =
`(LCM of numbers)/(HCF of numbers)`

So, LCM of 2 , 11 is :

2 × 1 = 2

11 × 1 = 11

So, The LCM of these number is the multiple of both numbers

So, LCM = 2 × 11 = 22

Again

The HCF of 9 , 6 is :

9 = 3 × 3

6 = 2 × 3

SO, highest common factor of 9 and 6 is 3

I.e HCF = 3

∴The LCM of fraction =
`(22)/(3)`

Hence The LCM of given fraction is
`(22)/(3)` Answer