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LCM of 556, 412, 412, 566

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


Find the LCM of 556, 412, 412, 566 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 556, 412, 412, 566. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 556,412,412,566

Given numbers are 556,412,412,566

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

The LCM of 556,412,412,566 is 16206844.

Find LCM of 556,412,412,566 with Prime Factorization


2 556, 412, 412, 566
2 278, 206, 206, 283
103 139, 103, 103, 283
139, 1, 1, 283

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

2 x 2 x 103 x 139 x 1 x 1 x 283 = 16206844

Therefore, the lowest common multiple of 556,412,412,566 is 16206844.

LCM Formula to Find Lowest Common Multiple of 556,412,412,566

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.

556 x 412 x 412 x 566 = 53417757824

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.

556 : 1, 2, 4, 139, 278, 556

412 : 1, 2, 4, 103, 206, 412

412 : 1, 2, 4, 103, 206, 412

566 : 1, 2, 283, 566

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,412,412,566, is 2.

Now, the common factors can be found like this.

556:2x 2x 139

412:2x 2x 103

412:2x 2x 103

566:2x 283

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

2x 2x 2x 2x 103 = 1648

Therefore, the value for common factors is 1648.

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 = 53417757824/(2x1648)

LCM = 53417757824/3296

LCM = 16206844

Thus, we can understand that the LCM of 556,412,412,566 is 16206844.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 556, 412, 412, 566

1. What is the LCM of 556, 412, 412, 566?

Answer: LCM of 556, 412, 412, 566 is 16206844.

2. How to calculate the LCM of 556, 412, 412, 566?

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 556, 412, 412, 566.

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}.