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LCM of 338, 878, 205, 164

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


Find the LCM of 338, 878, 205, 164 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, 878, 205, 164. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 338,878,205,164

Given numbers are 338,878,205,164

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

The LCM of 338,878,205,164 is 60836620.

Find LCM of 338,878,205,164 with Prime Factorization


2 338, 878, 205, 164
41 169, 439, 205, 82
169, 439, 5, 2

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

2 x 41 x 169 x 439 x 5 x 2 = 60836620

Therefore, the lowest common multiple of 338,878,205,164 is 60836620.

LCM Formula to Find Lowest Common Multiple of 338,878,205,164

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 878 x 205 x 164 = 9977205680

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

878 : 1, 2, 439, 878

205 : 1, 5, 41, 205

164 : 1, 2, 4, 41, 82, 164

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,878,205,164, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

878:2x 439

205:5x 41

164:2x 2x 41

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 41 = 164

Therefore, the value for common factors is 164.

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 = 9977205680/(1x164)

LCM = 9977205680/164

LCM = 60836620

Thus, we can understand that the LCM of 338,878,205,164 is 60836620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 338, 878, 205, 164

1. What is the LCM of 338, 878, 205, 164?

Answer: LCM of 338, 878, 205, 164 is 60836620.

2. How to calculate the LCM of 338, 878, 205, 164?

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, 878, 205, 164.

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}.