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LCM of 557, 172, 684, 776

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


Find the LCM of 557, 172, 684, 776 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, 172, 684, 776. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 557,172,684,776

Given numbers are 557,172,684,776

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

The LCM of 557,172,684,776 is 3178201896.

Find LCM of 557,172,684,776 with Prime Factorization


2 557, 172, 684, 776
2 557, 86, 342, 388
557, 43, 171, 194

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

2 x 2 x 557 x 43 x 171 x 194 = 3178201896

Therefore, the lowest common multiple of 557,172,684,776 is 3178201896.

LCM Formula to Find Lowest Common Multiple of 557,172,684,776

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 172 x 684 x 776 = 50851230336

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

172 : 1, 2, 4, 43, 86, 172

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

776 : 1, 2, 4, 8, 97, 194, 388, 776

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,172,684,776, is 1.

Now, the common factors can be found like this.

557:557

172:2x 2x 43

684:2x 2x 3x 3x 19

776:2x 2x 2x 97

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 2 = 16

Therefore, the value for common factors is 16.

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 = 50851230336/(1x16)

LCM = 50851230336/16

LCM = 3178201896

Thus, we can understand that the LCM of 557,172,684,776 is 3178201896.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 557, 172, 684, 776

1. What is the LCM of 557, 172, 684, 776?

Answer: LCM of 557, 172, 684, 776 is 3178201896.

2. How to calculate the LCM of 557, 172, 684, 776?

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, 172, 684, 776.

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}.