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LCM of 812, 872, 644, 523

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


Find the LCM of 812, 872, 644, 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 812, 872, 644, 523. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 812,872,644,523

Given numbers are 812,872,644,523

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

The LCM of 812,872,644,523 is 2129325464.

Find LCM of 812,872,644,523 with Prime Factorization


2 812, 872, 644, 523
2 406, 436, 322, 523
7 203, 218, 161, 523
29, 218, 23, 523

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

2 x 2 x 7 x 29 x 218 x 23 x 523 = 2129325464

Therefore, the lowest common multiple of 812,872,644,523 is 2129325464.

LCM Formula to Find Lowest Common Multiple of 812,872,644,523

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.

812 x 872 x 644 x 523 = 238484451968

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.

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

872 : 1, 2, 4, 8, 109, 218, 436, 872

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

523 : 1, 523

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,872,644,523, is 1.

Now, the common factors can be found like this.

812:2x 2x 7x 29

872:2x 2x 2x 109

644:2x 2x 7x 23

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 7 = 112

Therefore, the value for common factors is 112.

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 = 238484451968/(1x112)

LCM = 238484451968/112

LCM = 2129325464

Thus, we can understand that the LCM of 812,872,644,523 is 2129325464.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 812, 872, 644, 523

1. What is the LCM of 812, 872, 644, 523?

Answer: LCM of 812, 872, 644, 523 is 2129325464.

2. How to calculate the LCM of 812, 872, 644, 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 812, 872, 644, 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}.