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LCM of 583, 338, 154, 830

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


Find the LCM of 583, 338, 154, 830 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 583, 338, 154, 830. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 583,338,154,830

Given numbers are 583,338,154,830

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

The LCM of 583,338,154,830 is 572441870.

Find LCM of 583,338,154,830 with Prime Factorization


2 583, 338, 154, 830
11 583, 169, 77, 415
53, 169, 7, 415

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

2 x 11 x 53 x 169 x 7 x 415 = 572441870

Therefore, the lowest common multiple of 583,338,154,830 is 572441870.

LCM Formula to Find Lowest Common Multiple of 583,338,154,830

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.

583 x 338 x 154 x 830 = 25187442280

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.

583 : 1, 11, 53, 583

338 : 1, 2, 13, 26, 169, 338

154 : 1, 2, 7, 11, 14, 22, 77, 154

830 : 1, 2, 5, 10, 83, 166, 415, 830

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,338,154,830, is 1.

Now, the common factors can be found like this.

583:11x 53

338:2x 13x 13

154:2x 7x 11

830:2x 5x 83

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 11 = 44

Therefore, the value for common factors is 44.

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 = 25187442280/(1x44)

LCM = 25187442280/44

LCM = 572441870

Thus, we can understand that the LCM of 583,338,154,830 is 572441870.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 583, 338, 154, 830

1. What is the LCM of 583, 338, 154, 830?

Answer: LCM of 583, 338, 154, 830 is 572441870.

2. How to calculate the LCM of 583, 338, 154, 830?

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 583, 338, 154, 830.

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}.