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LCM of 721, 559, 390, 600, 858

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


Find the LCM of 721, 559, 390, 600, 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 721, 559, 390, 600, 858. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 721,559,390,600,858

Given numbers are 721,559,390,600,858

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

The LCM of 721,559,390,600,858 is 2660057400.

Find LCM of 721,559,390,600,858 with Prime Factorization


2 721, 559, 390, 600, 858
3 721, 559, 195, 300, 429
5 721, 559, 65, 100, 143
13 721, 559, 13, 20, 143
721, 43, 1, 20, 11

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

2 x 3 x 5 x 13 x 721 x 43 x 1 x 20 x 11 = 2660057400

Therefore, the lowest common multiple of 721,559,390,600,858 is 2660057400.

LCM Formula to Find Lowest Common Multiple of 721,559,390,600,858

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.

721 x 559 x 390 x 600 x 858 = 80918946108000

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.

721 : 1, 7, 103, 721

559 : 1, 13, 43, 559

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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 721,559,390,600,858, is 1.

Now, the common factors can be found like this.

721:7x 103

559:13x 43

390:2x 3x 5x 13

600:2x 2x 2x 3x 5x 5

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 2x 3x 3x 5x 13x 13 = 30420

Therefore, the value for common factors is 30420.

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 = 80918946108000/(1x30420)

LCM = 80918946108000/30420

LCM = 2660057400

Thus, we can understand that the LCM of 721,559,390,600,858 is 2660057400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 721, 559, 390, 600, 858

1. What is the LCM of 721, 559, 390, 600, 858?

Answer: LCM of 721, 559, 390, 600, 858 is 2660057400.

2. How to calculate the LCM of 721, 559, 390, 600, 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 721, 559, 390, 600, 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}.