Why is lcm important

The largest factor present between two or more numbers is defined by the H. The Prime factorization technique and the division method are two significant ways for determining H. A division technique is a quick way to find both H. The LCM of two or more numbers is the smallest positive integer that is divisible by all the given numbers.

The formulas are given below,. The prime factorisation method is also known as the factor tree method. Let us understand how to find out HCF using this method:. Step 1 : Write each number as a product of its prime factors. Step 2 : Now list the common factors of both numbers. Step 3 : The product of all common prime factors is the HCF use the lower power of each common factor. As we know, the product of all common prime factors is the HCF. To find the HCF of any two or more numbers using the division method, let us follow the below steps:.

Draw a line under the two numbers. To find the HCF, just multiply all the numbers present on the left marked in red. To calculate the LCM, we need to use the common prime factors for all the numbers. First, we need to write the prime factors of each of the given numbers. Real Life Example: Ram exercises every 8 days and Deepika every 4 days.

Ram and Deepika both exercised today. After how many days they exercise together again? This problem can be solved using Least Common Multiple because we are trying to find out the time they will exercise, time that it will occur at the same time Common.

SO, they will exercise together again in 8 days. Find the HCF of the following numbers. Therefore HCF of 36, 48, 60 is Find the LCM of the following numbers. Therefore LCM of 25 and 40 is Mr Patil has three classes. Each class has 28, 42 and 56 students respectively. Mr Patil wants to divide each class into groups so that every group in every class has the same number of students and there are no students left over. What is the maximum number of students Mr.

So what time will it be when all the lights glow at one time! Hmm, that is easy to watch and observe right with 3 or 5 strings of lighting. But what if I asked you the same question for strings? How will you observe the strings? Well that is when you should use LCM. Least Common Multiple of all string timings. So the LCM of all the timings is that time when all the strings will glow at the same time!

So at the 6th second all the strings will glow together! Isn't is wonderful to know that LCM is used in real life! Similarly, when you want to check when will all the planets moving in different orbits at different revolution will come and collide together!

Or when would all the trains running at different speed come and collide together at a junction? These are the practical daily applications of LCM. So hail LCM! Comments Thanku so much. Leave a Reply Cancel reply Your email address will not be published.

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