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LCM of 258, 858, 403, 711

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


Find the LCM of 258, 858, 403, 711 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 258, 858, 403, 711. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 258,858,403,711

Given numbers are 258,858,403,711

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

The LCM of 258,858,403,711 is 271060218.

Find LCM of 258,858,403,711 with Prime Factorization


2 258, 858, 403, 711
3 129, 429, 403, 711
13 43, 143, 403, 237
43, 11, 31, 237

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

2 x 3 x 13 x 43 x 11 x 31 x 237 = 271060218

Therefore, the lowest common multiple of 258,858,403,711 is 271060218.

LCM Formula to Find Lowest Common Multiple of 258,858,403,711

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.

258 x 858 x 403 x 711 = 63428091012

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

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

403 : 1, 13, 31, 403

711 : 1, 3, 9, 79, 237, 711

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,858,403,711, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

858:2x 3x 11x 13

403:13x 31

711:3x 3x 79

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 3x 13 = 234

Therefore, the value for common factors is 234.

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 = 63428091012/(1x234)

LCM = 63428091012/234

LCM = 271060218

Thus, we can understand that the LCM of 258,858,403,711 is 271060218.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 258, 858, 403, 711

1. What is the LCM of 258, 858, 403, 711?

Answer: LCM of 258, 858, 403, 711 is 271060218.

2. How to calculate the LCM of 258, 858, 403, 711?

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 258, 858, 403, 711.

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}.