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LCM of 859, 864, 313, 313

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


Find the LCM of 859, 864, 313, 313 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 859, 864, 313, 313. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 859,864,313,313

Given numbers are 859,864,313,313

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

The LCM of 859,864,313,313 is 232301088.

Find LCM of 859,864,313,313 with Prime Factorization


313 859, 864, 313, 313
859, 864, 1, 1

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

313 x 859 x 864 x 1 x 1 = 232301088

Therefore, the lowest common multiple of 859,864,313,313 is 232301088.

LCM Formula to Find Lowest Common Multiple of 859,864,313,313

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.

859 x 864 x 313 x 313 = 72710240544

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.

859 : 1, 859

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

313 : 1, 313

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 859,864,313,313, is 1.

Now, the common factors can be found like this.

859:859

864:2x 2x 2x 2x 2x 3x 3x 3

313:313

313:313

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

313 = 313

Therefore, the value for common factors is 313.

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 = 72710240544/(1x313)

LCM = 72710240544/313

LCM = 232301088

Thus, we can understand that the LCM of 859,864,313,313 is 232301088.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 859, 864, 313, 313

1. What is the LCM of 859, 864, 313, 313?

Answer: LCM of 859, 864, 313, 313 is 232301088.

2. How to calculate the LCM of 859, 864, 313, 313?

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 859, 864, 313, 313.

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}.