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LCM of 111, 304, 500, 404

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


Find the LCM of 111, 304, 500, 404 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 111, 304, 500, 404. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 111,304,500,404

Given numbers are 111,304,500,404

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

The LCM of 111,304,500,404 is 426018000.

Find LCM of 111,304,500,404 with Prime Factorization


2 111, 304, 500, 404
2 111, 152, 250, 202
111, 76, 125, 101

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

2 x 2 x 111 x 76 x 125 x 101 = 426018000

Therefore, the lowest common multiple of 111,304,500,404 is 426018000.

LCM Formula to Find Lowest Common Multiple of 111,304,500,404

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.

111 x 304 x 500 x 404 = 6816288000

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.

111 : 1, 3, 37, 111

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

404 : 1, 2, 4, 101, 202, 404

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 111,304,500,404, is 1.

Now, the common factors can be found like this.

111:3x 37

304:2x 2x 2x 2x 19

500:2x 2x 5x 5x 5

404:2x 2x 101

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 = 6816288000/(1x16)

LCM = 6816288000/16

LCM = 426018000

Thus, we can understand that the LCM of 111,304,500,404 is 426018000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 111, 304, 500, 404

1. What is the LCM of 111, 304, 500, 404?

Answer: LCM of 111, 304, 500, 404 is 426018000.

2. How to calculate the LCM of 111, 304, 500, 404?

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 111, 304, 500, 404.

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}.