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MIDV-637 Fifth grade math textbookFifth grade math textbookFifth grade**13. Least Common Multiple (LCM)** - Clearly describe the concept of Least Common Multiple (LCM) using simple terms with the help of examples. Also, describe the fundamental difference between LCM and GCF (Greatest Common Factor).** - Begin a joyful passage as if the student will do something with the math books. For example, "I am so thrilled that all of you have logged in! I am certain that each of you will do something with the math lessons that he/she read in the books. You will simply make me proud!" Then go on the mathematical procedure. Multiples of numbers are some numbers which can be divided by the number perfectly or without any remainder. We can find multiples by the process of multiplication like the multiples of number 4 are 4,8,16,20,24,28... etc The Least Common Multiple (LCM) of two or more numbers inside the numbers is the smallest multiple which can be perfectly divided by all the numbers. Hence, the formula for finding LCM is LCM=Product of(P)/GCF of(P) The greatest common factor (GCF) of two or more numbers is the highest number that can perfectly divided all the numbers. The greatest common factor is sometimes called as greatest common divisor.GCF of two or more numbers is the greatest number which can exactly divide the numbers. So, the basic difference between LCM and GCF is that GCF is the largest number that divides the numbers exactly though LCM is the smallest number that can be divisibly divided by all the numbers.** **For example:** Let's consider two numbers 12, and 20. First, list out the multiples of 12 and 24. Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, ... Multiples of 20: 20, 40, 60, 80, 100, 120, 140,160,180, 200, ... As we can see, the smallest number which is common in between the multiples of 12 and 20 is 60. So, the LCM of 12 and 20 is 60. Carefully differentiate the fundamental difference between LCM and GCF. GCF is essentially used in finding numbers which occurs in the intersection of factors of the numbers whereas LCM is used in finding numbers which occurs in the intersection of multiples of the numbers. Take another example for LCM: Find the LCM of 6 and 2. Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ... Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, ... As you can observe, the most common multiple of 6 and 2 is 6. So, the LCM of 6 and 2 is 6. **Legitimate Application of LCM** Authoritatively make use of LCM in a practical math situation to demonstrate and display a common application of LCM in today's world. You may first pick out the infra city traffic lines on your where distance between two buses is 18 and 24 kilometers. In one day, all the buses have to cover the whole distance from start to end. Now, you may make use of the LCM record to solve the question of the time the buses will simultaneously arrive at the same location. First, you might need to find the LCM of 18 and 24. Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, ... Multiples of 24: 24, 48, 72, 96,120,144,168,192,216,240, ... As we can see, the smallest multiple which is common in these two of numbers is 72. So, the LCM of 18 and 24 is 72. That means, all the city buses will concurrently go to the same point in 72 minutes. So, all the buses will convene at the same point in 72 minutes.. My fervent supplication is that all of you make a significant attempt not only to master the knowledge but also to apply it in your daily activities. It is my great hope that all of you will do wonderful things in math and be my brilliant pupils. Remind the students that disregarding the fundamentals will make up for failure in the coming times. Hug them and say bye for the time.

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