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LCM of 817, 404, 418, 323

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


Find the LCM of 817, 404, 418, 323 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 817, 404, 418, 323. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 817,404,418,323

Given numbers are 817,404,418,323

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

The LCM of 817,404,418,323 is 61722716.

Find LCM of 817,404,418,323 with Prime Factorization


2 817, 404, 418, 323
19 817, 202, 209, 323
43, 202, 11, 17

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

2 x 19 x 43 x 202 x 11 x 17 = 61722716

Therefore, the lowest common multiple of 817,404,418,323 is 61722716.

LCM Formula to Find Lowest Common Multiple of 817,404,418,323

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.

817 x 404 x 418 x 323 = 44563800952

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.

817 : 1, 19, 43, 817

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

418 : 1, 2, 11, 19, 22, 38, 209, 418

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 817,404,418,323, is 1.

Now, the common factors can be found like this.

817:19x 43

404:2x 2x 101

418:2x 11x 19

323:17x 19

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

2x 19x 19 = 722

Therefore, the value for common factors is 722.

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 = 44563800952/(1x722)

LCM = 44563800952/722

LCM = 61722716

Thus, we can understand that the LCM of 817,404,418,323 is 61722716.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 817, 404, 418, 323

1. What is the LCM of 817, 404, 418, 323?

Answer: LCM of 817, 404, 418, 323 is 61722716.

2. How to calculate the LCM of 817, 404, 418, 323?

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 817, 404, 418, 323.

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}.