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LCM of 334, 512, 849, 178

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


Find the LCM of 334, 512, 849, 178 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 334, 512, 849, 178. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 334,512,849,178

Given numbers are 334,512,849,178

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

The LCM of 334,512,849,178 is 6460767744.

Find LCM of 334,512,849,178 with Prime Factorization


2 334, 512, 849, 178
167, 256, 849, 89

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

2 x 167 x 256 x 849 x 89 = 6460767744

Therefore, the lowest common multiple of 334,512,849,178 is 6460767744.

LCM Formula to Find Lowest Common Multiple of 334,512,849,178

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.

334 x 512 x 849 x 178 = 25843070976

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.

334 : 1, 2, 167, 334

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

849 : 1, 3, 283, 849

178 : 1, 2, 89, 178

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,512,849,178, is 1.

Now, the common factors can be found like this.

334:2x 167

512:2x 2x 2x 2x 2x 2x 2x 2x 2

849:3x 283

178:2x 89

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 = 25843070976/(1x4)

LCM = 25843070976/4

LCM = 6460767744

Thus, we can understand that the LCM of 334,512,849,178 is 6460767744.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 334, 512, 849, 178

1. What is the LCM of 334, 512, 849, 178?

Answer: LCM of 334, 512, 849, 178 is 6460767744.

2. How to calculate the LCM of 334, 512, 849, 178?

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 334, 512, 849, 178.

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}.