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LCM of 780, 268, 212, 809

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


Find the LCM of 780, 268, 212, 809 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 780, 268, 212, 809. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 780,268,212,809

Given numbers are 780,268,212,809

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

The LCM of 780,268,212,809 is 2240752020.

Find LCM of 780,268,212,809 with Prime Factorization


2 780, 268, 212, 809
2 390, 134, 106, 809
195, 67, 53, 809

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

2 x 2 x 195 x 67 x 53 x 809 = 2240752020

Therefore, the lowest common multiple of 780,268,212,809 is 2240752020.

LCM Formula to Find Lowest Common Multiple of 780,268,212,809

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.

780 x 268 x 212 x 809 = 35852032320

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.

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

268 : 1, 2, 4, 67, 134, 268

212 : 1, 2, 4, 53, 106, 212

809 : 1, 809

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,268,212,809, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

268:2x 2x 67

212:2x 2x 53

809:809

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 35852032320/(1x16)

LCM = 35852032320/16

LCM = 2240752020

Thus, we can understand that the LCM of 780,268,212,809 is 2240752020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 780, 268, 212, 809

1. What is the LCM of 780, 268, 212, 809?

Answer: LCM of 780, 268, 212, 809 is 2240752020.

2. How to calculate the LCM of 780, 268, 212, 809?

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 780, 268, 212, 809.

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}.