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LCM of 413, 296, 555, 574

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


Find the LCM of 413, 296, 555, 574 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 413, 296, 555, 574. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 413,296,555,574

Given numbers are 413,296,555,574

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

The LCM of 413,296,555,574 is 75182520.

Find LCM of 413,296,555,574 with Prime Factorization


2 413, 296, 555, 574
7 413, 148, 555, 287
37 59, 148, 555, 41
59, 4, 15, 41

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

2 x 7 x 37 x 59 x 4 x 15 x 41 = 75182520

Therefore, the lowest common multiple of 413,296,555,574 is 75182520.

LCM Formula to Find Lowest Common Multiple of 413,296,555,574

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.

413 x 296 x 555 x 574 = 38944545360

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.

413 : 1, 7, 59, 413

296 : 1, 2, 4, 8, 37, 74, 148, 296

555 : 1, 3, 5, 15, 37, 111, 185, 555

574 : 1, 2, 7, 14, 41, 82, 287, 574

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,296,555,574, is 1.

Now, the common factors can be found like this.

413:7x 59

296:2x 2x 2x 37

555:3x 5x 37

574:2x 7x 41

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

2x 7x 37 = 518

Therefore, the value for common factors is 518.

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 = 38944545360/(1x518)

LCM = 38944545360/518

LCM = 75182520

Thus, we can understand that the LCM of 413,296,555,574 is 75182520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 413, 296, 555, 574

1. What is the LCM of 413, 296, 555, 574?

Answer: LCM of 413, 296, 555, 574 is 75182520.

2. How to calculate the LCM of 413, 296, 555, 574?

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 413, 296, 555, 574.

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}.