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LCM of 557, 611, 384, 481

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


Find the LCM of 557, 611, 384, 481 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 557, 611, 384, 481. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 557,611,384,481

Given numbers are 557,611,384,481

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

The LCM of 557,611,384,481 is 4835366016.

Find LCM of 557,611,384,481 with Prime Factorization


13 557, 611, 384, 481
557, 47, 384, 37

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

13 x 557 x 47 x 384 x 37 = 4835366016

Therefore, the lowest common multiple of 557,611,384,481 is 4835366016.

LCM Formula to Find Lowest Common Multiple of 557,611,384,481

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.

557 x 611 x 384 x 481 = 62859758208

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.

557 : 1, 557

611 : 1, 13, 47, 611

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

481 : 1, 13, 37, 481

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,611,384,481, is 1.

Now, the common factors can be found like this.

557:557

611:13x 47

384:2x 2x 2x 2x 2x 2x 2x 3

481:13x 37

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

13 = 13

Therefore, the value for common factors is 13.

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 = 62859758208/(1x13)

LCM = 62859758208/13

LCM = 4835366016

Thus, we can understand that the LCM of 557,611,384,481 is 4835366016.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 557, 611, 384, 481

1. What is the LCM of 557, 611, 384, 481?

Answer: LCM of 557, 611, 384, 481 is 4835366016.

2. How to calculate the LCM of 557, 611, 384, 481?

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 557, 611, 384, 481.

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}.