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LCM of 575, 952, 799, 323

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


Find the LCM of 575, 952, 799, 323 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, 952, 799, 323. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 575,952,799,323

Given numbers are 575,952,799,323

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

The LCM of 575,952,799,323 is 488828200.

Find LCM of 575,952,799,323 with Prime Factorization


17 575, 952, 799, 323
575, 56, 47, 19

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

17 x 575 x 56 x 47 x 19 = 488828200

Therefore, the lowest common multiple of 575,952,799,323 is 488828200.

LCM Formula to Find Lowest Common Multiple of 575,952,799,323

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 952 x 799 x 323 = 141271349800

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

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

799 : 1, 17, 47, 799

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 575,952,799,323, is 1.

Now, the common factors can be found like this.

575:5x 5x 23

952:2x 2x 2x 7x 17

799:17x 47

323:17x 19

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

17x 17 = 289

Therefore, the value for common factors is 289.

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 = 141271349800/(1x289)

LCM = 141271349800/289

LCM = 488828200

Thus, we can understand that the LCM of 575,952,799,323 is 488828200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 575, 952, 799, 323

1. What is the LCM of 575, 952, 799, 323?

Answer: LCM of 575, 952, 799, 323 is 488828200.

2. How to calculate the LCM of 575, 952, 799, 323?

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, 952, 799, 323.

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}.