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LCM of 304, 388, 814, 893

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


Find the LCM of 304, 388, 814, 893 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 304, 388, 814, 893. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 304,388,814,893

Given numbers are 304,388,814,893

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

The LCM of 304,388,814,893 is 564075952.

Find LCM of 304,388,814,893 with Prime Factorization


2 304, 388, 814, 893
2 152, 194, 407, 893
19 76, 97, 407, 893
4, 97, 407, 47

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

2 x 2 x 19 x 4 x 97 x 407 x 47 = 564075952

Therefore, the lowest common multiple of 304,388,814,893 is 564075952.

LCM Formula to Find Lowest Common Multiple of 304,388,814,893

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.

304 x 388 x 814 x 893 = 85739544704

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.

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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

814 : 1, 2, 11, 22, 37, 74, 407, 814

893 : 1, 19, 47, 893

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,388,814,893, is 1.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

388:2x 2x 97

814:2x 11x 37

893:19x 47

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 19 = 152

Therefore, the value for common factors is 152.

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 = 85739544704/(1x152)

LCM = 85739544704/152

LCM = 564075952

Thus, we can understand that the LCM of 304,388,814,893 is 564075952.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 304, 388, 814, 893

1. What is the LCM of 304, 388, 814, 893?

Answer: LCM of 304, 388, 814, 893 is 564075952.

2. How to calculate the LCM of 304, 388, 814, 893?

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 304, 388, 814, 893.

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}.