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LCM of 806, 698, 872, 907

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


Find the LCM of 806, 698, 872, 907 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 806, 698, 872, 907. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 806,698,872,907

Given numbers are 806,698,872,907

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

The LCM of 806,698,872,907 is 111238274888.

Find LCM of 806,698,872,907 with Prime Factorization


2 806, 698, 872, 907
403, 349, 436, 907

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

2 x 403 x 349 x 436 x 907 = 111238274888

Therefore, the lowest common multiple of 806,698,872,907 is 111238274888.

LCM Formula to Find Lowest Common Multiple of 806,698,872,907

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.

806 x 698 x 872 x 907 = 444953099552

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.

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

698 : 1, 2, 349, 698

872 : 1, 2, 4, 8, 109, 218, 436, 872

907 : 1, 907

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,698,872,907, is 1.

Now, the common factors can be found like this.

806:2x 13x 31

698:2x 349

872:2x 2x 2x 109

907:907

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 444953099552/(1x4)

LCM = 444953099552/4

LCM = 111238274888

Thus, we can understand that the LCM of 806,698,872,907 is 111238274888.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 806, 698, 872, 907

1. What is the LCM of 806, 698, 872, 907?

Answer: LCM of 806, 698, 872, 907 is 111238274888.

2. How to calculate the LCM of 806, 698, 872, 907?

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 806, 698, 872, 907.

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}.