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LCM of 6, 826, 567, 756

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


Find the LCM of 6, 826, 567, 756 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 6, 826, 567, 756. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6,826,567,756

Given numbers are 6,826,567,756

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

The LCM of 6,826,567,756 is 133812.

Find LCM of 6,826,567,756 with Prime Factorization


2 6, 826, 567, 756
3 3, 413, 567, 378
3 1, 413, 189, 126
3 1, 413, 63, 42
7 1, 413, 21, 14
1, 59, 3, 2

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

2 x 3 x 3 x 3 x 7 x 1 x 59 x 3 x 2 = 133812

Therefore, the lowest common multiple of 6,826,567,756 is 133812.

LCM Formula to Find Lowest Common Multiple of 6,826,567,756

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.

6 x 826 x 567 x 756 = 2124399312

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.

6 : 1, 2, 3, 6

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

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6,826,567,756, is 1.

Now, the common factors can be found like this.

6:2x 3

826:2x 7x 59

567:3x 3x 3x 3x 7

756:2x 2x 3x 3x 3x 7

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 3x 3x 3x 3x 7x 7 = 15876

Therefore, the value for common factors is 15876.

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 = 2124399312/(1x15876)

LCM = 2124399312/15876

LCM = 133812

Thus, we can understand that the LCM of 6,826,567,756 is 133812.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 6, 826, 567, 756

1. What is the LCM of 6, 826, 567, 756?

Answer: LCM of 6, 826, 567, 756 is 133812.

2. How to calculate the LCM of 6, 826, 567, 756?

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 6, 826, 567, 756.

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}.