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LCM of 483, 583, 933, 130

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


Find the LCM of 483, 583, 933, 130 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 483, 583, 933, 130. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 483,583,933,130

Given numbers are 483,583,933,130

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

The LCM of 483,583,933,130 is 11384643270.

Find LCM of 483,583,933,130 with Prime Factorization


3 483, 583, 933, 130
161, 583, 311, 130

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

3 x 161 x 583 x 311 x 130 = 11384643270

Therefore, the lowest common multiple of 483,583,933,130 is 11384643270.

LCM Formula to Find Lowest Common Multiple of 483,583,933,130

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.

483 x 583 x 933 x 130 = 34153929810

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.

483 : 1, 3, 7, 21, 23, 69, 161, 483

583 : 1, 11, 53, 583

933 : 1, 3, 311, 933

130 : 1, 2, 5, 10, 13, 26, 65, 130

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 483,583,933,130, is 1.

Now, the common factors can be found like this.

483:3x 7x 23

583:11x 53

933:3x 311

130:2x 5x 13

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

3 = 3

Therefore, the value for common factors is 3.

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 = 34153929810/(1x3)

LCM = 34153929810/3

LCM = 11384643270

Thus, we can understand that the LCM of 483,583,933,130 is 11384643270.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 483, 583, 933, 130

1. What is the LCM of 483, 583, 933, 130?

Answer: LCM of 483, 583, 933, 130 is 11384643270.

2. How to calculate the LCM of 483, 583, 933, 130?

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 483, 583, 933, 130.

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}.