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LCM of 441, 910, 729, 344

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


Find the LCM of 441, 910, 729, 344 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, 910, 729, 344. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 441,910,729,344

Given numbers are 441,910,729,344

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

The LCM of 441,910,729,344 is 798721560.

Find LCM of 441,910,729,344 with Prime Factorization


2 441, 910, 729, 344
3 441, 455, 729, 172
3 147, 455, 243, 172
7 49, 455, 81, 172
7, 65, 81, 172

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

2 x 3 x 3 x 7 x 7 x 65 x 81 x 172 = 798721560

Therefore, the lowest common multiple of 441,910,729,344 is 798721560.

LCM Formula to Find Lowest Common Multiple of 441,910,729,344

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 910 x 729 x 344 = 100638916560

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

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

729 : 1, 3, 9, 27, 81, 243, 729

344 : 1, 2, 4, 8, 43, 86, 172, 344

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,910,729,344, is 1.

Now, the common factors can be found like this.

441:3x 3x 7x 7

910:2x 5x 7x 13

729:3x 3x 3x 3x 3x 3

344:2x 2x 2x 43

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

2x 3x 3x 7 = 126

Therefore, the value for common factors is 126.

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 = 100638916560/(1x126)

LCM = 100638916560/126

LCM = 798721560

Thus, we can understand that the LCM of 441,910,729,344 is 798721560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 441, 910, 729, 344

1. What is the LCM of 441, 910, 729, 344?

Answer: LCM of 441, 910, 729, 344 is 798721560.

2. How to calculate the LCM of 441, 910, 729, 344?

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, 910, 729, 344.

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}.