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LCM of 115, 540, 309, 363

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


Find the LCM of 115, 540, 309, 363 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 115, 540, 309, 363. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 115,540,309,363

Given numbers are 115,540,309,363

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

The LCM of 115,540,309,363 is 154790460.

Find LCM of 115,540,309,363 with Prime Factorization


3 115, 540, 309, 363
5 115, 180, 103, 121
23, 36, 103, 121

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

3 x 5 x 23 x 36 x 103 x 121 = 154790460

Therefore, the lowest common multiple of 115,540,309,363 is 154790460.

LCM Formula to Find Lowest Common Multiple of 115,540,309,363

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.

115 x 540 x 309 x 363 = 6965570700

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.

115 : 1, 5, 23, 115

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

309 : 1, 3, 103, 309

363 : 1, 3, 11, 33, 121, 363

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,540,309,363, is 1.

Now, the common factors can be found like this.

115:5x 23

540:2x 2x 3x 3x 3x 5

309:3x 103

363:3x 11x 11

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

3x 3x 5 = 45

Therefore, the value for common factors is 45.

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 = 6965570700/(1x45)

LCM = 6965570700/45

LCM = 154790460

Thus, we can understand that the LCM of 115,540,309,363 is 154790460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 115, 540, 309, 363

1. What is the LCM of 115, 540, 309, 363?

Answer: LCM of 115, 540, 309, 363 is 154790460.

2. How to calculate the LCM of 115, 540, 309, 363?

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 115, 540, 309, 363.

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}.