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LCM of 908, 384, 279, 293

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


Find the LCM of 908, 384, 279, 293 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 908, 384, 279, 293. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 908,384,279,293

Given numbers are 908,384,279,293

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

The LCM of 908,384,279,293 is 2375240832.

Find LCM of 908,384,279,293 with Prime Factorization


2 908, 384, 279, 293
2 454, 192, 279, 293
3 227, 96, 279, 293
227, 32, 93, 293

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

2 x 2 x 3 x 227 x 32 x 93 x 293 = 2375240832

Therefore, the lowest common multiple of 908,384,279,293 is 2375240832.

LCM Formula to Find Lowest Common Multiple of 908,384,279,293

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.

908 x 384 x 279 x 293 = 28502889984

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.

908 : 1, 2, 4, 227, 454, 908

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

279 : 1, 3, 9, 31, 93, 279

293 : 1, 293

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 908,384,279,293, is 1.

Now, the common factors can be found like this.

908:2x 2x 227

384:2x 2x 2x 2x 2x 2x 2x 3

279:3x 3x 31

293:293

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 3 = 12

Therefore, the value for common factors is 12.

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 = 28502889984/(1x12)

LCM = 28502889984/12

LCM = 2375240832

Thus, we can understand that the LCM of 908,384,279,293 is 2375240832.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 908, 384, 279, 293

1. What is the LCM of 908, 384, 279, 293?

Answer: LCM of 908, 384, 279, 293 is 2375240832.

2. How to calculate the LCM of 908, 384, 279, 293?

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 908, 384, 279, 293.

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}.