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LCM of 223, 377, 642, 858

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


Find the LCM of 223, 377, 642, 858 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 223, 377, 642, 858. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 223,377,642,858

Given numbers are 223,377,642,858

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

The LCM of 223,377,642,858 is 593709402.

Find LCM of 223,377,642,858 with Prime Factorization


2 223, 377, 642, 858
3 223, 377, 321, 429
13 223, 377, 107, 143
223, 29, 107, 11

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

2 x 3 x 13 x 223 x 29 x 107 x 11 = 593709402

Therefore, the lowest common multiple of 223,377,642,858 is 593709402.

LCM Formula to Find Lowest Common Multiple of 223,377,642,858

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.

223 x 377 x 642 x 858 = 46309333356

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.

223 : 1, 223

377 : 1, 13, 29, 377

642 : 1, 2, 3, 6, 107, 214, 321, 642

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 223,377,642,858, is 1.

Now, the common factors can be found like this.

223:223

377:13x 29

642:2x 3x 107

858:2x 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 13 = 78

Therefore, the value for common factors is 78.

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 = 46309333356/(1x78)

LCM = 46309333356/78

LCM = 593709402

Thus, we can understand that the LCM of 223,377,642,858 is 593709402.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 223, 377, 642, 858

1. What is the LCM of 223, 377, 642, 858?

Answer: LCM of 223, 377, 642, 858 is 593709402.

2. How to calculate the LCM of 223, 377, 642, 858?

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 223, 377, 642, 858.

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}.