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LCM of 873, 807, 429, 599, 759

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


Find the LCM of 873, 807, 429, 599, 759 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, 807, 429, 599, 759. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 873,807,429,599,759

Given numbers are 873,807,429,599,759

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

The LCM of 873,807,429,599,759 is 462654956907.

Find LCM of 873,807,429,599,759 with Prime Factorization


3 873, 807, 429, 599, 759
11 291, 269, 143, 599, 253
291, 269, 13, 599, 23

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

3 x 11 x 291 x 269 x 13 x 599 x 23 = 462654956907

Therefore, the lowest common multiple of 873,807,429,599,759 is 462654956907.

LCM Formula to Find Lowest Common Multiple of 873,807,429,599,759

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 807 x 429 x 599 x 759 = 137408522201379

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

807 : 1, 3, 269, 807

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

599 : 1, 599

759 : 1, 3, 11, 23, 33, 69, 253, 759

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 873,807,429,599,759, is 1.

Now, the common factors can be found like this.

873:3x 3x 97

807:3x 269

429:3x 11x 13

599:599

759:3x 11x 23

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

3x 3x 3x 11 = 297

Therefore, the value for common factors is 297.

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 = 137408522201379/(1x297)

LCM = 137408522201379/297

LCM = 462654956907

Thus, we can understand that the LCM of 873,807,429,599,759 is 462654956907.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 873, 807, 429, 599, 759

1. What is the LCM of 873, 807, 429, 599, 759?

Answer: LCM of 873, 807, 429, 599, 759 is 462654956907.

2. How to calculate the LCM of 873, 807, 429, 599, 759?

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, 807, 429, 599, 759.

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}.