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LCM of 898, 725, 668, 284, 446

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


Find the LCM of 898, 725, 668, 284, 446 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 898, 725, 668, 284, 446. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 898,725,668,284,446

Given numbers are 898,725,668,284,446

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

The LCM of 898,725,668,284,446 is 3442896933100.

Find LCM of 898,725,668,284,446 with Prime Factorization


2 898, 725, 668, 284, 446
2 449, 725, 334, 142, 223
449, 725, 167, 71, 223

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

2 x 2 x 449 x 725 x 167 x 71 x 223 = 3442896933100

Therefore, the lowest common multiple of 898,725,668,284,446 is 3442896933100.

LCM Formula to Find Lowest Common Multiple of 898,725,668,284,446

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.

898 x 725 x 668 x 284 x 446 = 55086350929600

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.

898 : 1, 2, 449, 898

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

668 : 1, 2, 4, 167, 334, 668

284 : 1, 2, 4, 71, 142, 284

446 : 1, 2, 223, 446

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,725,668,284,446, is 1.

Now, the common factors can be found like this.

898:2x 449

725:5x 5x 29

668:2x 2x 167

284:2x 2x 71

446:2x 223

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 = 55086350929600/(1x16)

LCM = 55086350929600/16

LCM = 3442896933100

Thus, we can understand that the LCM of 898,725,668,284,446 is 3442896933100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 898, 725, 668, 284, 446

1. What is the LCM of 898, 725, 668, 284, 446?

Answer: LCM of 898, 725, 668, 284, 446 is 3442896933100.

2. How to calculate the LCM of 898, 725, 668, 284, 446?

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 898, 725, 668, 284, 446.

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}.