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LCM of 590, 646, 902, 873

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


Find the LCM of 590, 646, 902, 873 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 590, 646, 902, 873. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 590,646,902,873

Given numbers are 590,646,902,873

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

The LCM of 590,646,902,873 is 75031792110.

Find LCM of 590,646,902,873 with Prime Factorization


2 590, 646, 902, 873
295, 323, 451, 873

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

2 x 295 x 323 x 451 x 873 = 75031792110

Therefore, the lowest common multiple of 590,646,902,873 is 75031792110.

LCM Formula to Find Lowest Common Multiple of 590,646,902,873

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.

590 x 646 x 902 x 873 = 300127168440

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.

590 : 1, 2, 5, 10, 59, 118, 295, 590

646 : 1, 2, 17, 19, 34, 38, 323, 646

902 : 1, 2, 11, 22, 41, 82, 451, 902

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,646,902,873, is 1.

Now, the common factors can be found like this.

590:2x 5x 59

646:2x 17x 19

902:2x 11x 41

873:3x 3x 97

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 300127168440/(1x4)

LCM = 300127168440/4

LCM = 75031792110

Thus, we can understand that the LCM of 590,646,902,873 is 75031792110.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 590, 646, 902, 873

1. What is the LCM of 590, 646, 902, 873?

Answer: LCM of 590, 646, 902, 873 is 75031792110.

2. How to calculate the LCM of 590, 646, 902, 873?

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 590, 646, 902, 873.

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}.