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LCM of 515, 404, 247, 303

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


Find the LCM of 515, 404, 247, 303 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 515, 404, 247, 303. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 515,404,247,303

Given numbers are 515,404,247,303

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

The LCM of 515,404,247,303 is 154172460.

Find LCM of 515,404,247,303 with Prime Factorization


101 515, 404, 247, 303
515, 4, 247, 3

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

101 x 515 x 4 x 247 x 3 = 154172460

Therefore, the lowest common multiple of 515,404,247,303 is 154172460.

LCM Formula to Find Lowest Common Multiple of 515,404,247,303

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.

515 x 404 x 247 x 303 = 15571418460

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.

515 : 1, 5, 103, 515

404 : 1, 2, 4, 101, 202, 404

247 : 1, 13, 19, 247

303 : 1, 3, 101, 303

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,404,247,303, is 1.

Now, the common factors can be found like this.

515:5x 103

404:2x 2x 101

247:13x 19

303:3x 101

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

101 = 101

Therefore, the value for common factors is 101.

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 = 15571418460/(1x101)

LCM = 15571418460/101

LCM = 154172460

Thus, we can understand that the LCM of 515,404,247,303 is 154172460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 515, 404, 247, 303

1. What is the LCM of 515, 404, 247, 303?

Answer: LCM of 515, 404, 247, 303 is 154172460.

2. How to calculate the LCM of 515, 404, 247, 303?

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 515, 404, 247, 303.

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}.