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LCM of 213, 725, 898, 224

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


Find the LCM of 213, 725, 898, 224 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 213, 725, 898, 224. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 213,725,898,224

Given numbers are 213,725,898,224

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

The LCM of 213,725,898,224 is 15531448800.

Find LCM of 213,725,898,224 with Prime Factorization


2 213, 725, 898, 224
213, 725, 449, 112

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

2 x 213 x 725 x 449 x 112 = 15531448800

Therefore, the lowest common multiple of 213,725,898,224 is 15531448800.

LCM Formula to Find Lowest Common Multiple of 213,725,898,224

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.

213 x 725 x 898 x 224 = 31062897600

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.

213 : 1, 3, 71, 213

725 : 1, 5, 25, 29, 145, 725

898 : 1, 2, 449, 898

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,725,898,224, is 1.

Now, the common factors can be found like this.

213:3x 71

725:5x 5x 29

898:2x 449

224:2x 2x 2x 2x 2x 7

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

2 = 2

Therefore, the value for common factors is 2.

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 = 31062897600/(1x2)

LCM = 31062897600/2

LCM = 15531448800

Thus, we can understand that the LCM of 213,725,898,224 is 15531448800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 213, 725, 898, 224

1. What is the LCM of 213, 725, 898, 224?

Answer: LCM of 213, 725, 898, 224 is 15531448800.

2. How to calculate the LCM of 213, 725, 898, 224?

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 213, 725, 898, 224.

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}.