Solving problems related to LCM and HCF from "summary" of RRB ALP Exam PDF-RRB Assistant Loco Pilot Exam-CBT-1-Mathematics Subject eBook by Chandresh Agrawal,Nandini Books
To solve problems related to LCM and HCF, it is important to understand the concepts of LCM (Least Common Multiple) and HCF (Highest Common Factor). LCM is the smallest multiple that is common to two or more numbers, while HCF is the largest factor that is common to two or more numbers.
When solving problems involving LCM and HCF, it is essential to first identify the numbers for which you need to find the LCM or HCF. Once you have identified the numbers, you can use different methods to calculate the LCM and HCF.
To find the LCM of two or more numbers, you can use the prime factorization method. This involves breaking down each number into its prime factors and then taking the highest power of each prime factor to calculate the LCM.
Similarly, to find the HCF of two or more numbers, you can use the prime factorization method as well. By breaking down each number into its prime factors and taking the lowest power of each prime factor, you can calculate the HCF.
It is important to remember that the LCM will always be greater than or equal to the numbers being considered, while the HCF will always be less than or equal to the numbers being considered. Keeping this in mind can help you ensure that your calculations are accurate.
In some cases, you may need to find the LCM and HCF of more than two numbers. In such situations, you can use the same methods of prime factorization to calculate the LCM and HCF of all the numbers involved.
By understanding the concepts of LCM and HCF and using the appropriate methods to calculate them, you can effectively solve problems related to these concepts and improve your problem-solving skills in mathematics.
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