Question

The ratio of two numbers is 4 : 5. if the hcf of these numbers is 6, what is their lcm?

Answer 1

Check the attachment

Answer 2

Answer:

120

Step-by-step explanation:

We are given that The ratio of two numbers is 4 : 5.

Let the ratio be x

So, the numbers are 4x and 5x

The hcf of these numbers is 6

We know that :

$LCM \times HCF = \text{Product of two numbers}$

$LCM \times 6 = 4x \times 5x$

HCF of 4x and 5x is x

Since we are given that the HCf of 4x and 5x = 6

So, x = 6

So, $LCM \times 6 = 4(6) \times 5(6)$

$LCM \times 6 = 24 \times 30$

$LCM  = 24 \times 5$

$LCM  = 120$

Hence the LCM is 120