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LCM of 873, 511, 346, 704

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


Find the LCM of 873, 511, 346, 704 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, 511, 346, 704. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 873,511,346,704

Given numbers are 873,511,346,704

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

The LCM of 873,511,346,704 is 54331776576.

Find LCM of 873,511,346,704 with Prime Factorization


2 873, 511, 346, 704
873, 511, 173, 352

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

2 x 873 x 511 x 173 x 352 = 54331776576

Therefore, the lowest common multiple of 873,511,346,704 is 54331776576.

LCM Formula to Find Lowest Common Multiple of 873,511,346,704

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 511 x 346 x 704 = 108663553152

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

511 : 1, 7, 73, 511

346 : 1, 2, 173, 346

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 873,511,346,704, is 1.

Now, the common factors can be found like this.

873:3x 3x 97

511:7x 73

346:2x 173

704:2x 2x 2x 2x 2x 2x 11

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

2 = 2

Therefore, the value for common factors is 2.

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 = 108663553152/(1x2)

LCM = 108663553152/2

LCM = 54331776576

Thus, we can understand that the LCM of 873,511,346,704 is 54331776576.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 873, 511, 346, 704

1. What is the LCM of 873, 511, 346, 704?

Answer: LCM of 873, 511, 346, 704 is 54331776576.

2. How to calculate the LCM of 873, 511, 346, 704?

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, 511, 346, 704.

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}.