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LCM of 830, 736, 826, 400, 523

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


Find the LCM of 830, 736, 826, 400, 523 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 830, 736, 826, 400, 523. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 830,736,826,400,523

Given numbers are 830,736,826,400,523

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

The LCM of 830,736,826,400,523 is 329873672800.

Find LCM of 830,736,826,400,523 with Prime Factorization


2 830, 736, 826, 400, 523
2 415, 368, 413, 200, 523
2 415, 184, 413, 100, 523
2 415, 92, 413, 50, 523
5 415, 46, 413, 25, 523
83, 46, 413, 5, 523

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

2 x 2 x 2 x 2 x 5 x 83 x 46 x 413 x 5 x 523 = 329873672800

Therefore, the lowest common multiple of 830,736,826,400,523 is 329873672800.

LCM Formula to Find Lowest Common Multiple of 830,736,826,400,523

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.

830 x 736 x 826 x 400 x 523 = 105559575296000

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.

830 : 1, 2, 5, 10, 83, 166, 415, 830

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

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

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

523 : 1, 523

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,736,826,400,523, is 1.

Now, the common factors can be found like this.

830:2x 5x 83

736:2x 2x 2x 2x 2x 23

826:2x 7x 59

400:2x 2x 2x 2x 5x 5

523:523

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 2x 2x 2x 2x 5 = 320

Therefore, the value for common factors is 320.

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 = 105559575296000/(1x320)

LCM = 105559575296000/320

LCM = 329873672800

Thus, we can understand that the LCM of 830,736,826,400,523 is 329873672800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 830, 736, 826, 400, 523

1. What is the LCM of 830, 736, 826, 400, 523?

Answer: LCM of 830, 736, 826, 400, 523 is 329873672800.

2. How to calculate the LCM of 830, 736, 826, 400, 523?

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 830, 736, 826, 400, 523.

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}.