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LCM of 497, 579, 386, 225

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


Find the LCM of 497, 579, 386, 225 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 497, 579, 386, 225. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 497,579,386,225

Given numbers are 497,579,386,225

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

The LCM of 497,579,386,225 is 43164450.

Find LCM of 497,579,386,225 with Prime Factorization


3 497, 579, 386, 225
193 497, 193, 386, 75
497, 1, 2, 75

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

3 x 193 x 497 x 1 x 2 x 75 = 43164450

Therefore, the lowest common multiple of 497,579,386,225 is 43164450.

LCM Formula to Find Lowest Common Multiple of 497,579,386,225

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.

497 x 579 x 386 x 225 = 24992216550

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.

497 : 1, 7, 71, 497

579 : 1, 3, 193, 579

386 : 1, 2, 193, 386

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,579,386,225, is 1.

Now, the common factors can be found like this.

497:7x 71

579:3x 193

386:2x 193

225:3x 3x 5x 5

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

3x 193 = 579

Therefore, the value for common factors is 579.

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 = 24992216550/(1x579)

LCM = 24992216550/579

LCM = 43164450

Thus, we can understand that the LCM of 497,579,386,225 is 43164450.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 497, 579, 386, 225

1. What is the LCM of 497, 579, 386, 225?

Answer: LCM of 497, 579, 386, 225 is 43164450.

2. How to calculate the LCM of 497, 579, 386, 225?

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 497, 579, 386, 225.

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}.