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LCM of 757, 906, 826, 406

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


Find the LCM of 757, 906, 826, 406 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 757, 906, 826, 406. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 757,906,826,406

Given numbers are 757,906,826,406

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

The LCM of 757,906,826,406 is 8214329634.

Find LCM of 757,906,826,406 with Prime Factorization


2 757, 906, 826, 406
7 757, 453, 413, 203
757, 453, 59, 29

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

2 x 7 x 757 x 453 x 59 x 29 = 8214329634

Therefore, the lowest common multiple of 757,906,826,406 is 8214329634.

LCM Formula to Find Lowest Common Multiple of 757,906,826,406

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.

757 x 906 x 826 x 406 = 230001229752

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.

757 : 1, 757

906 : 1, 2, 3, 6, 151, 302, 453, 906

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

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,906,826,406, is 1.

Now, the common factors can be found like this.

757:757

906:2x 3x 151

826:2x 7x 59

406:2x 7x 29

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

2x 2x 7 = 28

Therefore, the value for common factors is 28.

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 = 230001229752/(1x28)

LCM = 230001229752/28

LCM = 8214329634

Thus, we can understand that the LCM of 757,906,826,406 is 8214329634.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 757, 906, 826, 406

1. What is the LCM of 757, 906, 826, 406?

Answer: LCM of 757, 906, 826, 406 is 8214329634.

2. How to calculate the LCM of 757, 906, 826, 406?

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 757, 906, 826, 406.

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}.