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LCM of 568, 577, 949, 325

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


Find the LCM of 568, 577, 949, 325 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 568, 577, 949, 325. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 568,577,949,325

Given numbers are 568,577,949,325

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

The LCM of 568,577,949,325 is 7775536600.

Find LCM of 568,577,949,325 with Prime Factorization


13 568, 577, 949, 325
568, 577, 73, 25

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

13 x 568 x 577 x 73 x 25 = 7775536600

Therefore, the lowest common multiple of 568,577,949,325 is 7775536600.

LCM Formula to Find Lowest Common Multiple of 568,577,949,325

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.

568 x 577 x 949 x 325 = 101081975800

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.

568 : 1, 2, 4, 8, 71, 142, 284, 568

577 : 1, 577

949 : 1, 13, 73, 949

325 : 1, 5, 13, 25, 65, 325

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,577,949,325, is 1.

Now, the common factors can be found like this.

568:2x 2x 2x 71

577:577

949:13x 73

325:5x 5x 13

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

13 = 13

Therefore, the value for common factors is 13.

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 = 101081975800/(1x13)

LCM = 101081975800/13

LCM = 7775536600

Thus, we can understand that the LCM of 568,577,949,325 is 7775536600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 568, 577, 949, 325

1. What is the LCM of 568, 577, 949, 325?

Answer: LCM of 568, 577, 949, 325 is 7775536600.

2. How to calculate the LCM of 568, 577, 949, 325?

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 568, 577, 949, 325.

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}.