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LCM of 515, 545, 256, 395, 393

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


Find the LCM of 515, 545, 256, 395, 393 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, 545, 256, 395, 393. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 515,545,256,395,393

Given numbers are 515,545,256,395,393

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

The LCM of 515,545,256,395,393 is 446162776320.

Find LCM of 515,545,256,395,393 with Prime Factorization


5 515, 545, 256, 395, 393
103, 109, 256, 79, 393

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

5 x 103 x 109 x 256 x 79 x 393 = 446162776320

Therefore, the lowest common multiple of 515,545,256,395,393 is 446162776320.

LCM Formula to Find Lowest Common Multiple of 515,545,256,395,393

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 545 x 256 x 395 x 393 = 11154069408000

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

545 : 1, 5, 109, 545

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

395 : 1, 5, 79, 395

393 : 1, 3, 131, 393

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,545,256,395,393, is 1.

Now, the common factors can be found like this.

515:5x 103

545:5x 109

256:2x 2x 2x 2x 2x 2x 2x 2

395:5x 79

393:3x 131

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 11154069408000/(1x25)

LCM = 11154069408000/25

LCM = 446162776320

Thus, we can understand that the LCM of 515,545,256,395,393 is 446162776320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 515, 545, 256, 395, 393

1. What is the LCM of 515, 545, 256, 395, 393?

Answer: LCM of 515, 545, 256, 395, 393 is 446162776320.

2. How to calculate the LCM of 515, 545, 256, 395, 393?

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, 545, 256, 395, 393.

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}.