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LCM of 582, 679, 583, 935

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


Find the LCM of 582, 679, 583, 935 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 582, 679, 583, 935. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 582,679,583,935

Given numbers are 582,679,583,935

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

The LCM of 582,679,583,935 is 201887070.

Find LCM of 582,679,583,935 with Prime Factorization


11 582, 679, 583, 935
97 582, 679, 53, 85
6, 7, 53, 85

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

11 x 97 x 6 x 7 x 53 x 85 = 201887070

Therefore, the lowest common multiple of 582,679,583,935 is 201887070.

LCM Formula to Find Lowest Common Multiple of 582,679,583,935

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.

582 x 679 x 583 x 935 = 215413503690

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.

582 : 1, 2, 3, 6, 97, 194, 291, 582

679 : 1, 7, 97, 679

583 : 1, 11, 53, 583

935 : 1, 5, 11, 17, 55, 85, 187, 935

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,679,583,935, is 1.

Now, the common factors can be found like this.

582:2x 3x 97

679:7x 97

583:11x 53

935:5x 11x 17

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

11x 97 = 1067

Therefore, the value for common factors is 1067.

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 = 215413503690/(1x1067)

LCM = 215413503690/1067

LCM = 201887070

Thus, we can understand that the LCM of 582,679,583,935 is 201887070.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 582, 679, 583, 935

1. What is the LCM of 582, 679, 583, 935?

Answer: LCM of 582, 679, 583, 935 is 201887070.

2. How to calculate the LCM of 582, 679, 583, 935?

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 582, 679, 583, 935.

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}.