Three numbers in the ratio 3 : 4 : 5 have the LCM 2400. What is the HCF?

Correct option is A

Given:

Let the three numbers be 3x, 4x, and 5x where 'k' is the common factor (HCF).

Formula Used:
LCM of the numbers is given by:
LCM =$$\frac{\text{Product of the numbers}}{\text{HCF}}$$​​

Solution:

​​LCM =  $$3\times4\times5\times x$$

         = 60x
We are given that LCM = 2400, so:
​​​
60x = 2400,  

x = 40 
​​Answer: The HCF is 40.