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LCM of 413, 273, 812, 359, 323

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


Find the LCM of 413, 273, 812, 359, 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 413, 273, 812, 359, 323. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 413,273,812,359,323

Given numbers are 413,273,812,359,323

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

The LCM of 413,273,812,359,323 is 216655450284.

Find LCM of 413,273,812,359,323 with Prime Factorization


7 413, 273, 812, 359, 323
59, 39, 116, 359, 323

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

7 x 59 x 39 x 116 x 359 x 323 = 216655450284

Therefore, the lowest common multiple of 413,273,812,359,323 is 216655450284.

LCM Formula to Find Lowest Common Multiple of 413,273,812,359,323

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.

413 x 273 x 812 x 359 x 323 = 10616117063916

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.

413 : 1, 7, 59, 413

273 : 1, 3, 7, 13, 21, 39, 91, 273

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

359 : 1, 359

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,273,812,359,323, is 1.

Now, the common factors can be found like this.

413:7x 59

273:3x 7x 13

812:2x 2x 7x 29

359:359

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.

7x 7 = 49

Therefore, the value for common factors is 49.

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 = 10616117063916/(1x49)

LCM = 10616117063916/49

LCM = 216655450284

Thus, we can understand that the LCM of 413,273,812,359,323 is 216655450284.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 413, 273, 812, 359, 323

1. What is the LCM of 413, 273, 812, 359, 323?

Answer: LCM of 413, 273, 812, 359, 323 is 216655450284.

2. How to calculate the LCM of 413, 273, 812, 359, 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 413, 273, 812, 359, 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}.