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LCM of 230, 115, 515, 575

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


Find the LCM of 230, 115, 515, 575 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 230, 115, 515, 575. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 230,115,515,575

Given numbers are 230,115,515,575

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

The LCM of 230,115,515,575 is 118450.

Find LCM of 230,115,515,575 with Prime Factorization


5 230, 115, 515, 575
23 46, 23, 103, 115
2, 1, 103, 5

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

5 x 23 x 2 x 1 x 103 x 5 = 118450

Therefore, the lowest common multiple of 230,115,515,575 is 118450.

LCM Formula to Find Lowest Common Multiple of 230,115,515,575

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.

230 x 115 x 515 x 575 = 7832506250

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

115 : 1, 5, 23, 115

515 : 1, 5, 103, 515

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

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,115,515,575, is 5.

Now, the common factors can be found like this.

230:2x 5x 23

115:5x 23

515:5x 103

575:5x 5x 23

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

5x 5x 23x 23 = 13225

Therefore, the value for common factors is 13225.

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 = 7832506250/(5x13225)

LCM = 7832506250/66125

LCM = 118450

Thus, we can understand that the LCM of 230,115,515,575 is 118450.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 230, 115, 515, 575

1. What is the LCM of 230, 115, 515, 575?

Answer: LCM of 230, 115, 515, 575 is 118450.

2. How to calculate the LCM of 230, 115, 515, 575?

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 230, 115, 515, 575.

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}.