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LCM of 338, 934, 902, 885, 302

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


Find the LCM of 338, 934, 902, 885, 302 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 338, 934, 902, 885, 302. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 338,934,902,885,302

Given numbers are 338,934,902,885,302

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

The LCM of 338,934,902,885,302 is 9513281344710.

Find LCM of 338,934,902,885,302 with Prime Factorization


2 338, 934, 902, 885, 302
169, 467, 451, 885, 151

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

2 x 169 x 467 x 451 x 885 x 151 = 9513281344710

Therefore, the lowest common multiple of 338,934,902,885,302 is 9513281344710.

LCM Formula to Find Lowest Common Multiple of 338,934,902,885,302

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.

338 x 934 x 902 x 885 x 302 = 76106250757680

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.

338 : 1, 2, 13, 26, 169, 338

934 : 1, 2, 467, 934

902 : 1, 2, 11, 22, 41, 82, 451, 902

885 : 1, 3, 5, 15, 59, 177, 295, 885

302 : 1, 2, 151, 302

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,934,902,885,302, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

934:2x 467

902:2x 11x 41

885:3x 5x 59

302:2x 151

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 = 76106250757680/(1x8)

LCM = 76106250757680/8

LCM = 9513281344710

Thus, we can understand that the LCM of 338,934,902,885,302 is 9513281344710.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 338, 934, 902, 885, 302

1. What is the LCM of 338, 934, 902, 885, 302?

Answer: LCM of 338, 934, 902, 885, 302 is 9513281344710.

2. How to calculate the LCM of 338, 934, 902, 885, 302?

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 338, 934, 902, 885, 302.

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}.