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LCM of 928, 604, 200, 261

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


Find the LCM of 928, 604, 200, 261 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 928, 604, 200, 261. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 928,604,200,261

Given numbers are 928,604,200,261

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

The LCM of 928,604,200,261 is 31528800.

Find LCM of 928,604,200,261 with Prime Factorization


2 928, 604, 200, 261
2 464, 302, 100, 261
2 232, 151, 50, 261
29 116, 151, 25, 261
4, 151, 25, 9

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

2 x 2 x 2 x 29 x 4 x 151 x 25 x 9 = 31528800

Therefore, the lowest common multiple of 928,604,200,261 is 31528800.

LCM Formula to Find Lowest Common Multiple of 928,604,200,261

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.

928 x 604 x 200 x 261 = 29258726400

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.

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

604 : 1, 2, 4, 151, 302, 604

200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

261 : 1, 3, 9, 29, 87, 261

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,604,200,261, is 1.

Now, the common factors can be found like this.

928:2x 2x 2x 2x 2x 29

604:2x 2x 151

200:2x 2x 2x 5x 5

261:3x 3x 29

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 2x 2x 2x 29 = 928

Therefore, the value for common factors is 928.

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 = 29258726400/(1x928)

LCM = 29258726400/928

LCM = 31528800

Thus, we can understand that the LCM of 928,604,200,261 is 31528800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 928, 604, 200, 261

1. What is the LCM of 928, 604, 200, 261?

Answer: LCM of 928, 604, 200, 261 is 31528800.

2. How to calculate the LCM of 928, 604, 200, 261?

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 928, 604, 200, 261.

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}.