The ratio of two numbers is 5 : 6 and their HCF is 6. Their LCM is:

Correct option is C

Given:

Ratio of two numbers = 5:6

HCF = 6

Formula Used:

Product of two numbers = Product of their HCF and LCM

Solution:

Let the number be 5x and 6x

Their HCF is x

But HCF given is 6 hence, x = 6

Number are

5x =$$5 \times 6 = 30$$​​

6x =$$6\times 6 = 36$$​​

LCM =$$\frac{30 \times 36}{6} = 180$$