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LCM of 441, 377, 561, 678, 327

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


Find the LCM of 441, 377, 561, 678, 327 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 441, 377, 561, 678, 327. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 441,377,561,678,327

Given numbers are 441,377,561,678,327

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

The LCM of 441,377,561,678,327 is 765872513406.

Find LCM of 441,377,561,678,327 with Prime Factorization


3 441, 377, 561, 678, 327
147, 377, 187, 226, 109

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

3 x 147 x 377 x 187 x 226 x 109 = 765872513406

Therefore, the lowest common multiple of 441,377,561,678,327 is 765872513406.

LCM Formula to Find Lowest Common Multiple of 441,377,561,678,327

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.

441 x 377 x 561 x 678 x 327 = 20678557861962

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.

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

377 : 1, 13, 29, 377

561 : 1, 3, 11, 17, 33, 51, 187, 561

678 : 1, 2, 3, 6, 113, 226, 339, 678

327 : 1, 3, 109, 327

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,377,561,678,327, is 1.

Now, the common factors can be found like this.

441:3x 3x 7x 7

377:13x 29

561:3x 11x 17

678:2x 3x 113

327:3x 109

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 20678557861962/(1x27)

LCM = 20678557861962/27

LCM = 765872513406

Thus, we can understand that the LCM of 441,377,561,678,327 is 765872513406.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 441, 377, 561, 678, 327

1. What is the LCM of 441, 377, 561, 678, 327?

Answer: LCM of 441, 377, 561, 678, 327 is 765872513406.

2. How to calculate the LCM of 441, 377, 561, 678, 327?

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 441, 377, 561, 678, 327.

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}.