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LCM of 826, 907, 646, 227, 907

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


Find the LCM of 826, 907, 646, 227, 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 826, 907, 646, 227, 907. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 826,907,646,227,907

Given numbers are 826,907,646,227,907

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

The LCM of 826,907,646,227,907 is 54930773422.

Find LCM of 826,907,646,227,907 with Prime Factorization


2 826, 907, 646, 227, 907
907 413, 907, 323, 227, 907
413, 1, 323, 227, 1

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

2 x 907 x 413 x 1 x 323 x 227 x 1 = 54930773422

Therefore, the lowest common multiple of 826,907,646,227,907 is 54930773422.

LCM Formula to Find Lowest Common Multiple of 826,907,646,227,907

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.

826 x 907 x 646 x 227 x 907 = 99644422987508

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.

826 : 1, 2, 7, 14, 59, 118, 413, 826

907 : 1, 907

646 : 1, 2, 17, 19, 34, 38, 323, 646

227 : 1, 227

907 : 1, 907

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,907,646,227,907, is 1.

Now, the common factors can be found like this.

826:2x 7x 59

907:907

646:2x 17x 19

227:227

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 907 = 1814

Therefore, the value for common factors is 1814.

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 = 99644422987508/(1x1814)

LCM = 99644422987508/1814

LCM = 54930773422

Thus, we can understand that the LCM of 826,907,646,227,907 is 54930773422.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 826, 907, 646, 227, 907

1. What is the LCM of 826, 907, 646, 227, 907?

Answer: LCM of 826, 907, 646, 227, 907 is 54930773422.

2. How to calculate the LCM of 826, 907, 646, 227, 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 826, 907, 646, 227, 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}.