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LCM of 811, 254, 698, 212, 323

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


Find the LCM of 811, 254, 698, 212, 323 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 811, 254, 698, 212, 323. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 811,254,698,212,323

Given numbers are 811,254,698,212,323

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

The LCM of 811,254,698,212,323 is 2461435077628.

Find LCM of 811,254,698,212,323 with Prime Factorization


2 811, 254, 698, 212, 323
811, 127, 349, 106, 323

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

2 x 811 x 127 x 349 x 106 x 323 = 2461435077628

Therefore, the lowest common multiple of 811,254,698,212,323 is 2461435077628.

LCM Formula to Find Lowest Common Multiple of 811,254,698,212,323

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.

811 x 254 x 698 x 212 x 323 = 9845740310512

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.

811 : 1, 811

254 : 1, 2, 127, 254

698 : 1, 2, 349, 698

212 : 1, 2, 4, 53, 106, 212

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 811,254,698,212,323, is 1.

Now, the common factors can be found like this.

811:811

254:2x 127

698:2x 349

212:2x 2x 53

323:17x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 9845740310512/(1x4)

LCM = 9845740310512/4

LCM = 2461435077628

Thus, we can understand that the LCM of 811,254,698,212,323 is 2461435077628.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 811, 254, 698, 212, 323

1. What is the LCM of 811, 254, 698, 212, 323?

Answer: LCM of 811, 254, 698, 212, 323 is 2461435077628.

2. How to calculate the LCM of 811, 254, 698, 212, 323?

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 811, 254, 698, 212, 323.

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}.