Correct answer is: a) 48

Explanation

Here, The ratio of two numbers be 3\;:\;4\;.
Their HCF be 4.
We know, HCF is the highest common factor of two numbers.
So that, the numbers are :
\left(3\times4\right)=12
\left(4\times4\right)=16
\therefore The numbers are 12 and 16.
And, the LCM of 12 and 16 is =2\times2\times3\times4=48.
Ans: The LCM of two numbers is 48.

There are more ways to say this math problem:

1. If the ratio between two numbers is 3 : 4, and their greatest common divisor (GCD) is 4, find the least common multiple (LCM) of the two numbers.
2. When the ratio of two numbers is 3 : 4 and their highest common factor (HCF) is 4, what is the least common multiple (LCM) of the two numbers?
3. Knowing that the ratio of two numbers is 3 : 4 and their highest common factor (HCF) is 4, calculate the least common multiple (LCM) of the two numbers.