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LCM of 838, 554, 800, 859, 500

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


Find the LCM of 838, 554, 800, 859, 500 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 838, 554, 800, 859, 500. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 838,554,800,859,500

Given numbers are 838,554,800,859,500

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

The LCM of 838,554,800,859,500 is 398792468000.

Find LCM of 838,554,800,859,500 with Prime Factorization


2 838, 554, 800, 859, 500
2 419, 277, 400, 859, 250
5 419, 277, 200, 859, 125
5 419, 277, 40, 859, 25
419, 277, 8, 859, 5

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

2 x 2 x 5 x 5 x 419 x 277 x 8 x 859 x 5 = 398792468000

Therefore, the lowest common multiple of 838,554,800,859,500 is 398792468000.

LCM Formula to Find Lowest Common Multiple of 838,554,800,859,500

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.

838 x 554 x 800 x 859 x 500 = 159516987200000

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.

838 : 1, 2, 419, 838

554 : 1, 2, 277, 554

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

859 : 1, 859

500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,554,800,859,500, is 1.

Now, the common factors can be found like this.

838:2x 419

554:2x 277

800:2x 2x 2x 2x 2x 5x 5

859:859

500:2x 2x 5x 5x 5

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 5x 5 = 400

Therefore, the value for common factors is 400.

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 = 159516987200000/(1x400)

LCM = 159516987200000/400

LCM = 398792468000

Thus, we can understand that the LCM of 838,554,800,859,500 is 398792468000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 838, 554, 800, 859, 500

1. What is the LCM of 838, 554, 800, 859, 500?

Answer: LCM of 838, 554, 800, 859, 500 is 398792468000.

2. How to calculate the LCM of 838, 554, 800, 859, 500?

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 838, 554, 800, 859, 500.

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}.