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LCM of 205, 349, 576, 410

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


Find the LCM of 205, 349, 576, 410 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 205, 349, 576, 410. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 205,349,576,410

Given numbers are 205,349,576,410

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

The LCM of 205,349,576,410 is 41209920.

Find LCM of 205,349,576,410 with Prime Factorization


2 205, 349, 576, 410
5 205, 349, 288, 205
41 41, 349, 288, 41
1, 349, 288, 1

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

2 x 5 x 41 x 1 x 349 x 288 x 1 = 41209920

Therefore, the lowest common multiple of 205,349,576,410 is 41209920.

LCM Formula to Find Lowest Common Multiple of 205,349,576,410

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.

205 x 349 x 576 x 410 = 16896067200

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.

205 : 1, 5, 41, 205

349 : 1, 349

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

410 : 1, 2, 5, 10, 41, 82, 205, 410

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,349,576,410, is 1.

Now, the common factors can be found like this.

205:5x 41

349:349

576:2x 2x 2x 2x 2x 2x 3x 3

410:2x 5x 41

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

2x 5x 41 = 410

Therefore, the value for common factors is 410.

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 = 16896067200/(1x410)

LCM = 16896067200/410

LCM = 41209920

Thus, we can understand that the LCM of 205,349,576,410 is 41209920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 205, 349, 576, 410

1. What is the LCM of 205, 349, 576, 410?

Answer: LCM of 205, 349, 576, 410 is 41209920.

2. How to calculate the LCM of 205, 349, 576, 410?

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 205, 349, 576, 410.

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}.