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LCM of 344, 444, 646, 908

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


Find the LCM of 344, 444, 646, 908 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 344, 444, 646, 908. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 344,444,646,908

Given numbers are 344,444,646,908

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

The LCM of 344,444,646,908 is 2799689064.

Find LCM of 344,444,646,908 with Prime Factorization


2 344, 444, 646, 908
2 172, 222, 323, 454
86, 111, 323, 227

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

2 x 2 x 86 x 111 x 323 x 227 = 2799689064

Therefore, the lowest common multiple of 344,444,646,908 is 2799689064.

LCM Formula to Find Lowest Common Multiple of 344,444,646,908

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.

344 x 444 x 646 x 908 = 89590050048

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.

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

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

646 : 1, 2, 17, 19, 34, 38, 323, 646

908 : 1, 2, 4, 227, 454, 908

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,444,646,908, is 2.

Now, the common factors can be found like this.

344:2x 2x 2x 43

444:2x 2x 3x 37

646:2x 17x 19

908:2x 2x 227

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 2 = 16

Therefore, the value for common factors is 16.

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 = 89590050048/(2x16)

LCM = 89590050048/32

LCM = 2799689064

Thus, we can understand that the LCM of 344,444,646,908 is 2799689064.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 344, 444, 646, 908

1. What is the LCM of 344, 444, 646, 908?

Answer: LCM of 344, 444, 646, 908 is 2799689064.

2. How to calculate the LCM of 344, 444, 646, 908?

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 344, 444, 646, 908.

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}.