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LCM of 720, 508, 851

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


Find the LCM of 720, 508, 851 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 720, 508, 851. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 720,508,851

Given numbers are 720,508,851

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

The LCM of 720,508,851 is 77815440.

Find LCM of 720,508,851 with Prime Factorization


2 720, 508, 851
2 360, 254, 851
180, 127, 851

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

2 x 2 x 180 x 127 x 851 = 77815440

Therefore, the lowest common multiple of 720,508,851 is 77815440.

LCM Formula to Find Lowest Common Multiple of 720,508,851

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.

720 x 508 x 851 = 311261760

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.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

508 : 1, 2, 4, 127, 254, 508

851 : 1, 23, 37, 851

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,508,851, is 1.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

508:2x 2x 127

851:23x 37

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 = 311261760/(1x4)

LCM = 311261760/4

LCM = 77815440

Thus, we can understand that the LCM of 720,508,851 is 77815440.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 720, 508, 851

1. What is the LCM of 720, 508, 851?

Answer: LCM of 720, 508, 851 is 77815440.

2. How to calculate the LCM of 720, 508, 851?

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 720, 508, 851.

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}.