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LCM of 505, 598, 221, 404

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


Find the LCM of 505, 598, 221, 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 505, 598, 221, 404. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 505,598,221,404

Given numbers are 505,598,221,404

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

The LCM of 505,598,221,404 is 10267660.

Find LCM of 505,598,221,404 with Prime Factorization


2 505, 598, 221, 404
13 505, 299, 221, 202
101 505, 23, 17, 202
5, 23, 17, 2

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

2 x 13 x 101 x 5 x 23 x 17 x 2 = 10267660

Therefore, the lowest common multiple of 505,598,221,404 is 10267660.

LCM Formula to Find Lowest Common Multiple of 505,598,221,404

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.

505 x 598 x 221 x 404 = 26962875160

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.

505 : 1, 5, 101, 505

598 : 1, 2, 13, 23, 26, 46, 299, 598

221 : 1, 13, 17, 221

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 505,598,221,404, is 1.

Now, the common factors can be found like this.

505:5x 101

598:2x 13x 23

221:13x 17

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 13x 101 = 2626

Therefore, the value for common factors is 2626.

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 = 26962875160/(1x2626)

LCM = 26962875160/2626

LCM = 10267660

Thus, we can understand that the LCM of 505,598,221,404 is 10267660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 505, 598, 221, 404

1. What is the LCM of 505, 598, 221, 404?

Answer: LCM of 505, 598, 221, 404 is 10267660.

2. How to calculate the LCM of 505, 598, 221, 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 505, 598, 221, 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}.