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LCM of 613, 572, 912, 819

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


Find the LCM of 613, 572, 912, 819 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 613, 572, 912, 819. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 613,572,912,819

Given numbers are 613,572,912,819

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

The LCM of 613,572,912,819 is 1678845168.

Find LCM of 613,572,912,819 with Prime Factorization


2 613, 572, 912, 819
2 613, 286, 456, 819
3 613, 143, 228, 819
13 613, 143, 76, 273
613, 11, 76, 21

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

2 x 2 x 3 x 13 x 613 x 11 x 76 x 21 = 1678845168

Therefore, the lowest common multiple of 613,572,912,819 is 1678845168.

LCM Formula to Find Lowest Common Multiple of 613,572,912,819

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.

613 x 572 x 912 x 819 = 261899846208

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.

613 : 1, 613

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 613,572,912,819, is 1.

Now, the common factors can be found like this.

613:613

572:2x 2x 11x 13

912:2x 2x 2x 2x 3x 19

819:3x 3x 7x 13

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 3x 13 = 156

Therefore, the value for common factors is 156.

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 = 261899846208/(1x156)

LCM = 261899846208/156

LCM = 1678845168

Thus, we can understand that the LCM of 613,572,912,819 is 1678845168.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 613, 572, 912, 819

1. What is the LCM of 613, 572, 912, 819?

Answer: LCM of 613, 572, 912, 819 is 1678845168.

2. How to calculate the LCM of 613, 572, 912, 819?

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 613, 572, 912, 819.

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}.