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LCM of 778, 902, 155, 256

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


Find the LCM of 778, 902, 155, 256 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 778, 902, 155, 256. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 778,902,155,256

Given numbers are 778,902,155,256

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

The LCM of 778,902,155,256 is 6961419520.

Find LCM of 778,902,155,256 with Prime Factorization


2 778, 902, 155, 256
389, 451, 155, 128

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

2 x 389 x 451 x 155 x 128 = 6961419520

Therefore, the lowest common multiple of 778,902,155,256 is 6961419520.

LCM Formula to Find Lowest Common Multiple of 778,902,155,256

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.

778 x 902 x 155 x 256 = 27845678080

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.

778 : 1, 2, 389, 778

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

155 : 1, 5, 31, 155

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,902,155,256, is 1.

Now, the common factors can be found like this.

778:2x 389

902:2x 11x 41

155:5x 31

256:2x 2x 2x 2x 2x 2x 2x 2

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 = 27845678080/(1x4)

LCM = 27845678080/4

LCM = 6961419520

Thus, we can understand that the LCM of 778,902,155,256 is 6961419520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 778, 902, 155, 256

1. What is the LCM of 778, 902, 155, 256?

Answer: LCM of 778, 902, 155, 256 is 6961419520.

2. How to calculate the LCM of 778, 902, 155, 256?

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 778, 902, 155, 256.

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}.