Some Problems On Hcf And Lcm

To solve the problem, we need to find the value of in the equation of the form .
The problem provides options and the solution is 8, but let's understand how to derive it:

Step 1: Calculate the LCM of 12 and 42.
To find the LCM, we first determine the prime factorizations:
12 =
42 =
The LCM is given by taking the highest power of each prime number appearing in the factorizations:
LCM =

Step 2: Use the LCM in the equation provided in the problem.
We have .
Rearrange to solve for :


Divide both sides by 10 to isolate :

Hence, the value of is 8.