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LCM of 822, 724, 388, 500

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


Find the LCM of 822, 724, 388, 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 822, 724, 388, 500. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 822,724,388,500

Given numbers are 822,724,388,500

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

The LCM of 822,724,388,500 is 3607963500.

Find LCM of 822,724,388,500 with Prime Factorization


2 822, 724, 388, 500
2 411, 362, 194, 250
411, 181, 97, 125

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

2 x 2 x 411 x 181 x 97 x 125 = 3607963500

Therefore, the lowest common multiple of 822,724,388,500 is 3607963500.

LCM Formula to Find Lowest Common Multiple of 822,724,388,500

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.

822 x 724 x 388 x 500 = 115454832000

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.

822 : 1, 2, 3, 6, 137, 274, 411, 822

724 : 1, 2, 4, 181, 362, 724

388 : 1, 2, 4, 97, 194, 388

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,724,388,500, is 2.

Now, the common factors can be found like this.

822:2x 3x 137

724:2x 2x 181

388:2x 2x 97

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 2 = 16

Therefore, the value for common factors is 16.

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 = 115454832000/(2x16)

LCM = 115454832000/32

LCM = 3607963500

Thus, we can understand that the LCM of 822,724,388,500 is 3607963500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 822, 724, 388, 500

1. What is the LCM of 822, 724, 388, 500?

Answer: LCM of 822, 724, 388, 500 is 3607963500.

2. How to calculate the LCM of 822, 724, 388, 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 822, 724, 388, 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}.