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LCM of 817, 724, 388, 307

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


Find the LCM of 817, 724, 388, 307 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 817, 724, 388, 307. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 817,724,388,307

Given numbers are 817,724,388,307

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

The LCM of 817,724,388,307 is 17614516732.

Find LCM of 817,724,388,307 with Prime Factorization


2 817, 724, 388, 307
2 817, 362, 194, 307
817, 181, 97, 307

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

2 x 2 x 817 x 181 x 97 x 307 = 17614516732

Therefore, the lowest common multiple of 817,724,388,307 is 17614516732.

LCM Formula to Find Lowest Common Multiple of 817,724,388,307

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.

817 x 724 x 388 x 307 = 70458066928

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.

817 : 1, 19, 43, 817

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

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

307 : 1, 307

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 817,724,388,307, is 1.

Now, the common factors can be found like this.

817:19x 43

724:2x 2x 181

388:2x 2x 97

307:307

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 = 70458066928/(1x4)

LCM = 70458066928/4

LCM = 17614516732

Thus, we can understand that the LCM of 817,724,388,307 is 17614516732.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 817, 724, 388, 307

1. What is the LCM of 817, 724, 388, 307?

Answer: LCM of 817, 724, 388, 307 is 17614516732.

2. How to calculate the LCM of 817, 724, 388, 307?

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 817, 724, 388, 307.

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}.