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LCM of 461, 551, 323, 404

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


Find the LCM of 461, 551, 323, 404 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 461, 551, 323, 404. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 461,551,323,404

Given numbers are 461,551,323,404

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

The LCM of 461,551,323,404 is 1744547548.

Find LCM of 461,551,323,404 with Prime Factorization


19 461, 551, 323, 404
461, 29, 17, 404

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

19 x 461 x 29 x 17 x 404 = 1744547548

Therefore, the lowest common multiple of 461,551,323,404 is 1744547548.

LCM Formula to Find Lowest Common Multiple of 461,551,323,404

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.

461 x 551 x 323 x 404 = 33146403412

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.

461 : 1, 461

551 : 1, 19, 29, 551

323 : 1, 17, 19, 323

404 : 1, 2, 4, 101, 202, 404

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,551,323,404, is 1.

Now, the common factors can be found like this.

461:461

551:19x 29

323:17x 19

404:2x 2x 101

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

19 = 19

Therefore, the value for common factors is 19.

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 = 33146403412/(1x19)

LCM = 33146403412/19

LCM = 1744547548

Thus, we can understand that the LCM of 461,551,323,404 is 1744547548.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 461, 551, 323, 404

1. What is the LCM of 461, 551, 323, 404?

Answer: LCM of 461, 551, 323, 404 is 1744547548.

2. How to calculate the LCM of 461, 551, 323, 404?

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 461, 551, 323, 404.

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}.