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LCM of 873, 404, 642, 751

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


Find the LCM of 873, 404, 642, 751 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 873, 404, 642, 751. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 873,404,642,751

Given numbers are 873,404,642,751

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

The LCM of 873,404,642,751 is 28341271044.

Find LCM of 873,404,642,751 with Prime Factorization


2 873, 404, 642, 751
3 873, 202, 321, 751
291, 202, 107, 751

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

2 x 3 x 291 x 202 x 107 x 751 = 28341271044

Therefore, the lowest common multiple of 873,404,642,751 is 28341271044.

LCM Formula to Find Lowest Common Multiple of 873,404,642,751

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.

873 x 404 x 642 x 751 = 170047626264

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.

873 : 1, 3, 9, 97, 291, 873

404 : 1, 2, 4, 101, 202, 404

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

751 : 1, 751

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 873,404,642,751, is 1.

Now, the common factors can be found like this.

873:3x 3x 97

404:2x 2x 101

642:2x 3x 107

751:751

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 170047626264/(1x6)

LCM = 170047626264/6

LCM = 28341271044

Thus, we can understand that the LCM of 873,404,642,751 is 28341271044.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 873, 404, 642, 751

1. What is the LCM of 873, 404, 642, 751?

Answer: LCM of 873, 404, 642, 751 is 28341271044.

2. How to calculate the LCM of 873, 404, 642, 751?

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 873, 404, 642, 751.

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}.