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LCM of 575, 543, 543, 422

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


Find the LCM of 575, 543, 543, 422 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 575, 543, 543, 422. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 575,543,543,422

Given numbers are 575,543,543,422

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

The LCM of 575,543,543,422 is 131758950.

Find LCM of 575,543,543,422 with Prime Factorization


3 575, 543, 543, 422
181 575, 181, 181, 422
575, 1, 1, 422

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

3 x 181 x 575 x 1 x 1 x 422 = 131758950

Therefore, the lowest common multiple of 575,543,543,422 is 131758950.

LCM Formula to Find Lowest Common Multiple of 575,543,543,422

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.

575 x 543 x 543 x 422 = 71545109850

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.

575 : 1, 5, 23, 25, 115, 575

543 : 1, 3, 181, 543

543 : 1, 3, 181, 543

422 : 1, 2, 211, 422

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 575,543,543,422, is 1.

Now, the common factors can be found like this.

575:5x 5x 23

543:3x 181

543:3x 181

422:2x 211

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

3x 181 = 543

Therefore, the value for common factors is 543.

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 = 71545109850/(1x543)

LCM = 71545109850/543

LCM = 131758950

Thus, we can understand that the LCM of 575,543,543,422 is 131758950.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 575, 543, 543, 422

1. What is the LCM of 575, 543, 543, 422?

Answer: LCM of 575, 543, 543, 422 is 131758950.

2. How to calculate the LCM of 575, 543, 543, 422?

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 575, 543, 543, 422.

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}.