Understanding Lcm For 4 And 8

LCM of 4 and 8 How to Find LCM of 4, 8? from www.cuemath.com

What is LCM?

LCM stands for Least Common Multiple. It is the smallest positive integer that is divisible by two or more given numbers without leaving any remainder. In simple words, it is the smallest number that is a multiple of both the given numbers.

Why do we need LCM?

LCM is used in various mathematical concepts such as fraction addition and subtraction, finding equivalent fractions, simplifying fractions, and many more. LCM is also used in real-life situations such as scheduling, time management, and planning.

How to find LCM?

To find LCM for two given numbers, we can use various methods such as listing multiples, prime factorization, and division method. Here, we will use the division method for finding LCM of 4 and 8.

Division Method

Step 1: Write the given numbers 4 and 8. Step 2: Divide the larger number by the smaller number. 8 ÷ 4 = 2 Step 3: If the remainder is zero, then the smaller number is the LCM. Since the remainder is zero, LCM of 4 and 8 is 4.

Explanation

To understand the division method, we need to understand the concept of factors and multiples. Factors are the numbers that divide a given number exactly without leaving any remainder. For example, factors of 4 are 1, 2, and 4. Multiples are the numbers obtained by multiplying a given number by another number. For example, multiples of 4 are 4, 8, 12, 16, and so on. To find LCM, we need to list down the multiples of the given numbers and find the smallest multiple that is common in both lists. However, this method can be time-consuming for larger numbers. Therefore, we use the division method which is a quicker method for finding LCM.

Solution

For finding LCM of 4 and 8, we used the division method. We divided the larger number 8 by the smaller number 4. The quotient obtained was 2. Since the remainder was zero, the smaller number 4 is the LCM of 4 and 8. Therefore, the LCM of 4 and 8 is 4.

Conclusion

LCM is an important concept in mathematics that is used in various real-life situations. It is the smallest number that is a multiple of both the given numbers. We can find LCM using various methods such as listing multiples, prime factorization, and division method. For finding LCM of 4 and 8, we used the division method and obtained the LCM as 4.