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LCM of 853, 586, 879, 712

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


Find the LCM of 853, 586, 879, 712 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 853, 586, 879, 712. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 853,586,879,712

Given numbers are 853,586,879,712

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

The LCM of 853,586,879,712 is 533848344.

Find LCM of 853,586,879,712 with Prime Factorization


2 853, 586, 879, 712
293 853, 293, 879, 356
853, 1, 3, 356

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

2 x 293 x 853 x 1 x 3 x 356 = 533848344

Therefore, the lowest common multiple of 853,586,879,712 is 533848344.

LCM Formula to Find Lowest Common Multiple of 853,586,879,712

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.

853 x 586 x 879 x 712 = 312835129584

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.

853 : 1, 853

586 : 1, 2, 293, 586

879 : 1, 3, 293, 879

712 : 1, 2, 4, 8, 89, 178, 356, 712

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 853,586,879,712, is 1.

Now, the common factors can be found like this.

853:853

586:2x 293

879:3x 293

712:2x 2x 2x 89

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

2x 293 = 586

Therefore, the value for common factors is 586.

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 = 312835129584/(1x586)

LCM = 312835129584/586

LCM = 533848344

Thus, we can understand that the LCM of 853,586,879,712 is 533848344.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 853, 586, 879, 712

1. What is the LCM of 853, 586, 879, 712?

Answer: LCM of 853, 586, 879, 712 is 533848344.

2. How to calculate the LCM of 853, 586, 879, 712?

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 853, 586, 879, 712.

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}.