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LCM of 115, 392, 656, 323

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


Find the LCM of 115, 392, 656, 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 115, 392, 656, 323. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 115,392,656,323

Given numbers are 115,392,656,323

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

The LCM of 115,392,656,323 is 1193988880.

Find LCM of 115,392,656,323 with Prime Factorization


2 115, 392, 656, 323
2 115, 196, 328, 323
2 115, 98, 164, 323
115, 49, 82, 323

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

2 x 2 x 2 x 115 x 49 x 82 x 323 = 1193988880

Therefore, the lowest common multiple of 115,392,656,323 is 1193988880.

LCM Formula to Find Lowest Common Multiple of 115,392,656,323

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.

115 x 392 x 656 x 323 = 9551911040

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.

115 : 1, 5, 23, 115

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,392,656,323, is 1.

Now, the common factors can be found like this.

115:5x 23

392:2x 2x 2x 7x 7

656:2x 2x 2x 2x 41

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 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 9551911040/(1x8)

LCM = 9551911040/8

LCM = 1193988880

Thus, we can understand that the LCM of 115,392,656,323 is 1193988880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 115, 392, 656, 323

1. What is the LCM of 115, 392, 656, 323?

Answer: LCM of 115, 392, 656, 323 is 1193988880.

2. How to calculate the LCM of 115, 392, 656, 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 115, 392, 656, 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}.