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LCM of 898, 874, 856, 338, 654

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


Find the LCM of 898, 874, 856, 338, 654 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, 874, 856, 338, 654. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 898,874,856,338,654

Given numbers are 898,874,856,338,654

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

The LCM of 898,874,856,338,654 is 9281881080264.

Find LCM of 898,874,856,338,654 with Prime Factorization


2 898, 874, 856, 338, 654
449, 437, 428, 169, 327

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

2 x 449 x 437 x 428 x 169 x 327 = 9281881080264

Therefore, the lowest common multiple of 898,874,856,338,654 is 9281881080264.

LCM Formula to Find Lowest Common Multiple of 898,874,856,338,654

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 874 x 856 x 338 x 654 = 148510097284224

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

874 : 1, 2, 19, 23, 38, 46, 437, 874

856 : 1, 2, 4, 8, 107, 214, 428, 856

338 : 1, 2, 13, 26, 169, 338

654 : 1, 2, 3, 6, 109, 218, 327, 654

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,874,856,338,654, is 2.

Now, the common factors can be found like this.

898:2x 449

874:2x 19x 23

856:2x 2x 2x 107

338:2x 13x 13

654:2x 3x 109

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 2 = 8

Therefore, the value for common factors is 8.

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 = 148510097284224/(2x8)

LCM = 148510097284224/16

LCM = 9281881080264

Thus, we can understand that the LCM of 898,874,856,338,654 is 9281881080264.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 898, 874, 856, 338, 654

1. What is the LCM of 898, 874, 856, 338, 654?

Answer: LCM of 898, 874, 856, 338, 654 is 9281881080264.

2. How to calculate the LCM of 898, 874, 856, 338, 654?

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, 874, 856, 338, 654.

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}.