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LCM of 344, 412, 481, 859

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


Find the LCM of 344, 412, 481, 859 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, 412, 481, 859. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 344,412,481,859

Given numbers are 344,412,481,859

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

The LCM of 344,412,481,859 is 14639758328.

Find LCM of 344,412,481,859 with Prime Factorization


2 344, 412, 481, 859
2 172, 206, 481, 859
86, 103, 481, 859

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

2 x 2 x 86 x 103 x 481 x 859 = 14639758328

Therefore, the lowest common multiple of 344,412,481,859 is 14639758328.

LCM Formula to Find Lowest Common Multiple of 344,412,481,859

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 412 x 481 x 859 = 58559033312

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

412 : 1, 2, 4, 103, 206, 412

481 : 1, 13, 37, 481

859 : 1, 859

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,412,481,859, is 1.

Now, the common factors can be found like this.

344:2x 2x 2x 43

412:2x 2x 103

481:13x 37

859:859

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 58559033312/(1x4)

LCM = 58559033312/4

LCM = 14639758328

Thus, we can understand that the LCM of 344,412,481,859 is 14639758328.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 344, 412, 481, 859

1. What is the LCM of 344, 412, 481, 859?

Answer: LCM of 344, 412, 481, 859 is 14639758328.

2. How to calculate the LCM of 344, 412, 481, 859?

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, 412, 481, 859.

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}.