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LCM of 2824, 9178

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


Find the LCM of 2824, 9178 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 2824, 9178. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 2824,9178

Given numbers are 2824,9178

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

The LCM of 2824,9178 is 36712.

Find LCM of 2824,9178 with Prime Factorization


2 2824, 9178
353 1412, 4589
4, 13

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

2 x 353 x 4 x 13 = 36712

Therefore, the lowest common multiple of 2824,9178 is 36712.

LCM Formula to Find Lowest Common Multiple of 2824,9178

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.

2824 x 9178 = 25918672

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.

2824 : 1, 2, 4, 8, 353, 706, 1412, 2824

9178 : 1, 2, 13, 26, 353, 706, 4589, 9178

706 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2824,9178, is 706.

Now, the common factors can be found like this.

2824:2x 2x 2x 353

9178:2x 13x 353

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 = 25918672/(706x1)

LCM = 25918672/706

LCM = 36712

Thus, we can understand that the LCM of 2824,9178 is 36712.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 2824, 9178

1. What is the LCM of 2824, 9178?

Answer: LCM of 2824, 9178 is 36712.

2. How to calculate the LCM of 2824, 9178?

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 2824, 9178.

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}.