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LCM of 893, 489, 460, 266, 395

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


Find the LCM of 893, 489, 460, 266, 395 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 893, 489, 460, 266, 395. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 893,489,460,266,395

Given numbers are 893,489,460,266,395

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

The LCM of 893,489,460,266,395 is 111081895260.

Find LCM of 893,489,460,266,395 with Prime Factorization


2 893, 489, 460, 266, 395
5 893, 489, 230, 133, 395
19 893, 489, 46, 133, 79
47, 489, 46, 7, 79

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

2 x 5 x 19 x 47 x 489 x 46 x 7 x 79 = 111081895260

Therefore, the lowest common multiple of 893,489,460,266,395 is 111081895260.

LCM Formula to Find Lowest Common Multiple of 893,489,460,266,395

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.

893 x 489 x 460 x 266 x 395 = 21105560099400

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.

893 : 1, 19, 47, 893

489 : 1, 3, 163, 489

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

266 : 1, 2, 7, 14, 19, 38, 133, 266

395 : 1, 5, 79, 395

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,489,460,266,395, is 1.

Now, the common factors can be found like this.

893:19x 47

489:3x 163

460:2x 2x 5x 23

266:2x 7x 19

395:5x 79

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

2x 5x 19 = 190

Therefore, the value for common factors is 190.

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 = 21105560099400/(1x190)

LCM = 21105560099400/190

LCM = 111081895260

Thus, we can understand that the LCM of 893,489,460,266,395 is 111081895260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 893, 489, 460, 266, 395

1. What is the LCM of 893, 489, 460, 266, 395?

Answer: LCM of 893, 489, 460, 266, 395 is 111081895260.

2. How to calculate the LCM of 893, 489, 460, 266, 395?

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 893, 489, 460, 266, 395.

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}.