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LCM of 107, 404, 806, 293

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


Find the LCM of 107, 404, 806, 293 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 107, 404, 806, 293. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 107,404,806,293

Given numbers are 107,404,806,293

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

The LCM of 107,404,806,293 is 5104319012.

Find LCM of 107,404,806,293 with Prime Factorization


2 107, 404, 806, 293
107, 202, 403, 293

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

2 x 107 x 202 x 403 x 293 = 5104319012

Therefore, the lowest common multiple of 107,404,806,293 is 5104319012.

LCM Formula to Find Lowest Common Multiple of 107,404,806,293

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.

107 x 404 x 806 x 293 = 10208638024

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.

107 : 1, 107

404 : 1, 2, 4, 101, 202, 404

806 : 1, 2, 13, 26, 31, 62, 403, 806

293 : 1, 293

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,404,806,293, is 1.

Now, the common factors can be found like this.

107:107

404:2x 2x 101

806:2x 13x 31

293:293

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

2 = 2

Therefore, the value for common factors is 2.

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 = 10208638024/(1x2)

LCM = 10208638024/2

LCM = 5104319012

Thus, we can understand that the LCM of 107,404,806,293 is 5104319012.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 107, 404, 806, 293

1. What is the LCM of 107, 404, 806, 293?

Answer: LCM of 107, 404, 806, 293 is 5104319012.

2. How to calculate the LCM of 107, 404, 806, 293?

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 107, 404, 806, 293.

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}.