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LCM of 584, 691, 982, 557

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


Find the LCM of 584, 691, 982, 557 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 584, 691, 982, 557. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 584,691,982,557

Given numbers are 584,691,982,557

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

The LCM of 584,691,982,557 is 110364037928.

Find LCM of 584,691,982,557 with Prime Factorization


2 584, 691, 982, 557
292, 691, 491, 557

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

2 x 292 x 691 x 491 x 557 = 110364037928

Therefore, the lowest common multiple of 584,691,982,557 is 110364037928.

LCM Formula to Find Lowest Common Multiple of 584,691,982,557

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.

584 x 691 x 982 x 557 = 220728075856

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.

584 : 1, 2, 4, 8, 73, 146, 292, 584

691 : 1, 691

982 : 1, 2, 491, 982

557 : 1, 557

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,691,982,557, is 1.

Now, the common factors can be found like this.

584:2x 2x 2x 73

691:691

982:2x 491

557:557

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

2 = 2

Therefore, the value for common factors is 2.

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 = 220728075856/(1x2)

LCM = 220728075856/2

LCM = 110364037928

Thus, we can understand that the LCM of 584,691,982,557 is 110364037928.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 584, 691, 982, 557

1. What is the LCM of 584, 691, 982, 557?

Answer: LCM of 584, 691, 982, 557 is 110364037928.

2. How to calculate the LCM of 584, 691, 982, 557?

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 584, 691, 982, 557.

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}.