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LCM of 388, 769, 932, 652

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


Find the LCM of 388, 769, 932, 652 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 388, 769, 932, 652. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 388,769,932,652

Given numbers are 388,769,932,652

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

The LCM of 388,769,932,652 is 11331870188.

Find LCM of 388,769,932,652 with Prime Factorization


2 388, 769, 932, 652
2 194, 769, 466, 326
97, 769, 233, 163

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

2 x 2 x 97 x 769 x 233 x 163 = 11331870188

Therefore, the lowest common multiple of 388,769,932,652 is 11331870188.

LCM Formula to Find Lowest Common Multiple of 388,769,932,652

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.

388 x 769 x 932 x 652 = 181309923008

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.

388 : 1, 2, 4, 97, 194, 388

769 : 1, 769

932 : 1, 2, 4, 233, 466, 932

652 : 1, 2, 4, 163, 326, 652

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,769,932,652, is 1.

Now, the common factors can be found like this.

388:2x 2x 97

769:769

932:2x 2x 233

652:2x 2x 163

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 181309923008/(1x16)

LCM = 181309923008/16

LCM = 11331870188

Thus, we can understand that the LCM of 388,769,932,652 is 11331870188.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 388, 769, 932, 652

1. What is the LCM of 388, 769, 932, 652?

Answer: LCM of 388, 769, 932, 652 is 11331870188.

2. How to calculate the LCM of 388, 769, 932, 652?

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 388, 769, 932, 652.

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}.