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LCM of 647, 370, 826, 747

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


Find the LCM of 647, 370, 826, 747 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 647, 370, 826, 747. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 647,370,826,747

Given numbers are 647,370,826,747

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

The LCM of 647,370,826,747 is 73854448290.

Find LCM of 647,370,826,747 with Prime Factorization


2 647, 370, 826, 747
647, 185, 413, 747

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

2 x 647 x 185 x 413 x 747 = 73854448290

Therefore, the lowest common multiple of 647,370,826,747 is 73854448290.

LCM Formula to Find Lowest Common Multiple of 647,370,826,747

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.

647 x 370 x 826 x 747 = 147708896580

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.

647 : 1, 647

370 : 1, 2, 5, 10, 37, 74, 185, 370

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

747 : 1, 3, 9, 83, 249, 747

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 647,370,826,747, is 1.

Now, the common factors can be found like this.

647:647

370:2x 5x 37

826:2x 7x 59

747:3x 3x 83

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 = 147708896580/(1x2)

LCM = 147708896580/2

LCM = 73854448290

Thus, we can understand that the LCM of 647,370,826,747 is 73854448290.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 647, 370, 826, 747

1. What is the LCM of 647, 370, 826, 747?

Answer: LCM of 647, 370, 826, 747 is 73854448290.

2. How to calculate the LCM of 647, 370, 826, 747?

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 647, 370, 826, 747.

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}.