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LCM of 898, 237, 466, 112, 559

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


Find the LCM of 898, 237, 466, 112, 559 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, 237, 466, 112, 559. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 898,237,466,112,559

Given numbers are 898,237,466,112,559

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

The LCM of 898,237,466,112,559 is 1552317089232.

Find LCM of 898,237,466,112,559 with Prime Factorization


2 898, 237, 466, 112, 559
449, 237, 233, 56, 559

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

2 x 449 x 237 x 233 x 56 x 559 = 1552317089232

Therefore, the lowest common multiple of 898,237,466,112,559 is 1552317089232.

LCM Formula to Find Lowest Common Multiple of 898,237,466,112,559

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 237 x 466 x 112 x 559 = 6209268356928

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

237 : 1, 3, 79, 237

466 : 1, 2, 233, 466

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

559 : 1, 13, 43, 559

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,237,466,112,559, is 1.

Now, the common factors can be found like this.

898:2x 449

237:3x 79

466:2x 233

112:2x 2x 2x 2x 7

559:13x 43

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 = 6209268356928/(1x4)

LCM = 6209268356928/4

LCM = 1552317089232

Thus, we can understand that the LCM of 898,237,466,112,559 is 1552317089232.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 898, 237, 466, 112, 559

1. What is the LCM of 898, 237, 466, 112, 559?

Answer: LCM of 898, 237, 466, 112, 559 is 1552317089232.

2. How to calculate the LCM of 898, 237, 466, 112, 559?

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, 237, 466, 112, 559.

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}.