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LCM of 570, 879, 418, 924

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


Find the LCM of 570, 879, 418, 924 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 570, 879, 418, 924. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 570,879,418,924

Given numbers are 570,879,418,924

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

The LCM of 570,879,418,924 is 25719540.

Find LCM of 570,879,418,924 with Prime Factorization


2 570, 879, 418, 924
3 285, 879, 209, 462
11 95, 293, 209, 154
19 95, 293, 19, 14
5, 293, 1, 14

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

2 x 3 x 11 x 19 x 5 x 293 x 1 x 14 = 25719540

Therefore, the lowest common multiple of 570,879,418,924 is 25719540.

LCM Formula to Find Lowest Common Multiple of 570,879,418,924

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.

570 x 879 x 418 x 924 = 193513818960

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.

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

879 : 1, 3, 293, 879

418 : 1, 2, 11, 19, 22, 38, 209, 418

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,879,418,924, is 1.

Now, the common factors can be found like this.

570:2x 3x 5x 19

879:3x 293

418:2x 11x 19

924:2x 2x 3x 7x 11

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 3x 3x 11x 19 = 7524

Therefore, the value for common factors is 7524.

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 = 193513818960/(1x7524)

LCM = 193513818960/7524

LCM = 25719540

Thus, we can understand that the LCM of 570,879,418,924 is 25719540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 570, 879, 418, 924

1. What is the LCM of 570, 879, 418, 924?

Answer: LCM of 570, 879, 418, 924 is 25719540.

2. How to calculate the LCM of 570, 879, 418, 924?

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 570, 879, 418, 924.

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}.