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LCM of 869, 311, 256, 524

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


Find the LCM of 869, 311, 256, 524 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 869, 311, 256, 524. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 869,311,256,524

Given numbers are 869,311,256,524

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

The LCM of 869,311,256,524 is 9063405824.

Find LCM of 869,311,256,524 with Prime Factorization


2 869, 311, 256, 524
2 869, 311, 128, 262
869, 311, 64, 131

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

2 x 2 x 869 x 311 x 64 x 131 = 9063405824

Therefore, the lowest common multiple of 869,311,256,524 is 9063405824.

LCM Formula to Find Lowest Common Multiple of 869,311,256,524

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.

869 x 311 x 256 x 524 = 36253623296

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.

869 : 1, 11, 79, 869

311 : 1, 311

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

524 : 1, 2, 4, 131, 262, 524

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,311,256,524, is 1.

Now, the common factors can be found like this.

869:11x 79

311:311

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

524:2x 2x 131

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 = 36253623296/(1x4)

LCM = 36253623296/4

LCM = 9063405824

Thus, we can understand that the LCM of 869,311,256,524 is 9063405824.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 869, 311, 256, 524

1. What is the LCM of 869, 311, 256, 524?

Answer: LCM of 869, 311, 256, 524 is 9063405824.

2. How to calculate the LCM of 869, 311, 256, 524?

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 869, 311, 256, 524.

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}.