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LCM of 9208, 8824

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 9208, 8824 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 9208, 8824. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9208,8824

Given numbers are 9208,8824

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 9208,8824 is 10156424.

Find LCM of 9208,8824 with Prime Factorization


2 9208, 8824
2 4604, 4412
2 2302, 2206
1151, 1103

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 1151 x 1103 = 10156424

Therefore, the lowest common multiple of 9208,8824 is 10156424.

LCM Formula to Find Lowest Common Multiple of 9208,8824

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

9208 x 8824 = 81251392

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

9208 : 1, 2, 4, 8, 1151, 2302, 4604, 9208

8824 : 1, 2, 4, 8, 1103, 2206, 4412, 8824

8 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9208,8824, is 8.

Now, the common factors can be found like this.

9208:2x 2x 2x 1151

8824:2x 2x 2x 1103

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

= 1

Therefore, the value for common factors is 1.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 81251392/(8x1)

LCM = 81251392/8

LCM = 10156424

Thus, we can understand that the LCM of 9208,8824 is 10156424.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 9208, 8824

1. What is the LCM of 9208, 8824?

Answer: LCM of 9208, 8824 is 10156424.

2. How to calculate the LCM of 9208, 8824?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 9208, 8824.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.