Solution:
Concept: The foundational theorem of mathematics is the singular prime factorization method. Here, we discover that the LCM, or lowest common factor, is necessary to understand the HCF, or highest common factor. As a result, we will start by deciding which of the three numbers may be split into the lowest number. The next number is one that can be divided by at least two other numbers, and so on.Three numbers are presented to us: 625, 1125, and 2125, respectively.
The solution must be found using the prime factorization approach.
Let's tackle each one in turn.
First, we have 625
Let's pick another number now.We have
Take the most recent number, which is
Let's find out HCFTherefore, we will identify the common elements before highlighting those that are most important.
Clearly, we have common factor as 
Hence, 
is found to be 125Now let's find out LCM
And LCM is lowest common multiple
Clearly from this we have 
as 
This number is the multiple for all the three numbersHence, LCM is
Thus, the HCF and LCM of the aforementioned numbers are 125 and 95625, respectively.Option 'a' is 95625, which is the choice we have. Therefore, we may select it as the ideal option.
Hence, the correct answer is 1) 95625
