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LCM of 557, 104, 858, 429

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


Find the LCM of 557, 104, 858, 429 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 557, 104, 858, 429. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 557,104,858,429

Given numbers are 557,104,858,429

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

The LCM of 557,104,858,429 is 1911624.

Find LCM of 557,104,858,429 with Prime Factorization


2 557, 104, 858, 429
3 557, 52, 429, 429
11 557, 52, 143, 143
13 557, 52, 13, 13
557, 4, 1, 1

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

2 x 3 x 11 x 13 x 557 x 4 x 1 x 1 = 1911624

Therefore, the lowest common multiple of 557,104,858,429 is 1911624.

LCM Formula to Find Lowest Common Multiple of 557,104,858,429

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.

557 x 104 x 858 x 429 = 21322254096

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.

557 : 1, 557

104 : 1, 2, 4, 8, 13, 26, 52, 104

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

429 : 1, 3, 11, 13, 33, 39, 143, 429

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,104,858,429, is 1.

Now, the common factors can be found like this.

557:557

104:2x 2x 2x 13

858:2x 3x 11x 13

429:3x 11x 13

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

2x 3x 11x 13x 13 = 11154

Therefore, the value for common factors is 11154.

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 = 21322254096/(1x11154)

LCM = 21322254096/11154

LCM = 1911624

Thus, we can understand that the LCM of 557,104,858,429 is 1911624.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 557, 104, 858, 429

1. What is the LCM of 557, 104, 858, 429?

Answer: LCM of 557, 104, 858, 429 is 1911624.

2. How to calculate the LCM of 557, 104, 858, 429?

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 557, 104, 858, 429.

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}.