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LCM of 128, 313, 733, 648, 808

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


Find the LCM of 128, 313, 733, 648, 808 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 128, 313, 733, 648, 808. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 128,313,733,648,808

Given numbers are 128,313,733,648,808

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

The LCM of 128,313,733,648,808 is 240250707072.

Find LCM of 128,313,733,648,808 with Prime Factorization


2 128, 313, 733, 648, 808
2 64, 313, 733, 324, 404
2 32, 313, 733, 162, 202
16, 313, 733, 81, 101

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

2 x 2 x 2 x 16 x 313 x 733 x 81 x 101 = 240250707072

Therefore, the lowest common multiple of 128,313,733,648,808 is 240250707072.

LCM Formula to Find Lowest Common Multiple of 128,313,733,648,808

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.

128 x 313 x 733 x 648 x 808 = 15376045252608

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.

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

313 : 1, 313

733 : 1, 733

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

808 : 1, 2, 4, 8, 101, 202, 404, 808

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,313,733,648,808, is 1.

Now, the common factors can be found like this.

128:2x 2x 2x 2x 2x 2x 2

313:313

733:733

648:2x 2x 2x 3x 3x 3x 3

808:2x 2x 2x 101

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 2x 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 15376045252608/(1x64)

LCM = 15376045252608/64

LCM = 240250707072

Thus, we can understand that the LCM of 128,313,733,648,808 is 240250707072.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 128, 313, 733, 648, 808

1. What is the LCM of 128, 313, 733, 648, 808?

Answer: LCM of 128, 313, 733, 648, 808 is 240250707072.

2. How to calculate the LCM of 128, 313, 733, 648, 808?

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 128, 313, 733, 648, 808.

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}.