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LCM of 2354, 9208

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


Find the LCM of 2354, 9208 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 2354, 9208. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 2354,9208

Given numbers are 2354,9208

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

The LCM of 2354,9208 is 10837816.

Find LCM of 2354,9208 with Prime Factorization


2 2354, 9208
1177, 4604

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

2 x 1177 x 4604 = 10837816

Therefore, the lowest common multiple of 2354,9208 is 10837816.

LCM Formula to Find Lowest Common Multiple of 2354,9208

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.

2354 x 9208 = 21675632

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.

2354 : 1, 2, 11, 22, 107, 214, 1177, 2354

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2354,9208, is 2.

Now, the common factors can be found like this.

2354:2x 11x 107

9208:2x 2x 2x 1151

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 = 21675632/(2x1)

LCM = 21675632/2

LCM = 10837816

Thus, we can understand that the LCM of 2354,9208 is 10837816.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 2354, 9208

1. What is the LCM of 2354, 9208?

Answer: LCM of 2354, 9208 is 10837816.

2. How to calculate the LCM of 2354, 9208?

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 2354, 9208.

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}.