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LCM of 209, 538, 779, 421

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


Find the LCM of 209, 538, 779, 421 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 209, 538, 779, 421. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 209,538,779,421

Given numbers are 209,538,779,421

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

The LCM of 209,538,779,421 is 1940861362.

Find LCM of 209,538,779,421 with Prime Factorization


19 209, 538, 779, 421
11, 538, 41, 421

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

19 x 11 x 538 x 41 x 421 = 1940861362

Therefore, the lowest common multiple of 209,538,779,421 is 1940861362.

LCM Formula to Find Lowest Common Multiple of 209,538,779,421

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.

209 x 538 x 779 x 421 = 36876365878

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.

209 : 1, 11, 19, 209

538 : 1, 2, 269, 538

779 : 1, 19, 41, 779

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,538,779,421, is 1.

Now, the common factors can be found like this.

209:11x 19

538:2x 269

779:19x 41

421:421

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

19 = 19

Therefore, the value for common factors is 19.

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 = 36876365878/(1x19)

LCM = 36876365878/19

LCM = 1940861362

Thus, we can understand that the LCM of 209,538,779,421 is 1940861362.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 209, 538, 779, 421

1. What is the LCM of 209, 538, 779, 421?

Answer: LCM of 209, 538, 779, 421 is 1940861362.

2. How to calculate the LCM of 209, 538, 779, 421?

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 209, 538, 779, 421.

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}.