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LCM of 338, 566, 548, 249

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


Find the LCM of 338, 566, 548, 249 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 338, 566, 548, 249. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 338,566,548,249

Given numbers are 338,566,548,249

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

The LCM of 338,566,548,249 is 6526089804.

Find LCM of 338,566,548,249 with Prime Factorization


2 338, 566, 548, 249
169, 283, 274, 249

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

2 x 169 x 283 x 274 x 249 = 6526089804

Therefore, the lowest common multiple of 338,566,548,249 is 6526089804.

LCM Formula to Find Lowest Common Multiple of 338,566,548,249

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.

338 x 566 x 548 x 249 = 26104359216

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.

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

566 : 1, 2, 283, 566

548 : 1, 2, 4, 137, 274, 548

249 : 1, 3, 83, 249

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,566,548,249, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

566:2x 283

548:2x 2x 137

249:3x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 26104359216/(1x4)

LCM = 26104359216/4

LCM = 6526089804

Thus, we can understand that the LCM of 338,566,548,249 is 6526089804.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 338, 566, 548, 249

1. What is the LCM of 338, 566, 548, 249?

Answer: LCM of 338, 566, 548, 249 is 6526089804.

2. How to calculate the LCM of 338, 566, 548, 249?

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 338, 566, 548, 249.

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}.