 Hello and welcome to the session. Let us discuss the following problem today. Find the LCM and HCA of the following in diesel by applying the prime factorization method. We have 8, 9 and 25. Now let us write the solution. 8 can be written as 2 into 2 into 2 into 1. 9 can be written as 3 into 3 into 1. And 25 can be written as 5 into 5 into 1. So, it is HCF will be HCF of 8, 9 and 25 will be. The common term here is 1. So, HCF is equal to 1. And LCM will be using the prime factorization method to take out the LCM. We here have 8, 9 and 25. So, dividing by 2 we get 4, 9, 25. Again by 2 we get 2, 9, 25. Again by 2 we get 1, 9, 25. Now by 3 we get here 1, 3, 25. Again dividing by 3 we get here 1, 1, 25. Now dividing by 5 we get here 1, 1, 5. Again dividing by 5 we get here 1, 1, 1. Therefore, LCM is equal to 2 into 2 into 2 into 3 into 3 into 5 into 5. Which is equal to 8 into 9 into 25, which is equal to 1800. Hence, HCF is equal to 1 and LCM is equal to 1800. Is our required answer. I hope you understood this problem. Bye and have a nice day.