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LCM of 327, 466, 723, 355, 440

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


Find the LCM of 327, 466, 723, 355, 440 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 327, 466, 723, 355, 440. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 327,466,723,355,440

Given numbers are 327,466,723,355,440

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

The LCM of 327,466,723,355,440 is 573629848440.

Find LCM of 327,466,723,355,440 with Prime Factorization


2 327, 466, 723, 355, 440
3 327, 233, 723, 355, 220
5 109, 233, 241, 355, 220
109, 233, 241, 71, 44

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

2 x 3 x 5 x 109 x 233 x 241 x 71 x 44 = 573629848440

Therefore, the lowest common multiple of 327,466,723,355,440 is 573629848440.

LCM Formula to Find Lowest Common Multiple of 327,466,723,355,440

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.

327 x 466 x 723 x 355 x 440 = 17208895453200

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.

327 : 1, 3, 109, 327

466 : 1, 2, 233, 466

723 : 1, 3, 241, 723

355 : 1, 5, 71, 355

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,466,723,355,440, is 1.

Now, the common factors can be found like this.

327:3x 109

466:2x 233

723:3x 241

355:5x 71

440:2x 2x 2x 5x 11

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

2x 3x 5 = 30

Therefore, the value for common factors is 30.

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 = 17208895453200/(1x30)

LCM = 17208895453200/30

LCM = 573629848440

Thus, we can understand that the LCM of 327,466,723,355,440 is 573629848440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 327, 466, 723, 355, 440

1. What is the LCM of 327, 466, 723, 355, 440?

Answer: LCM of 327, 466, 723, 355, 440 is 573629848440.

2. How to calculate the LCM of 327, 466, 723, 355, 440?

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 327, 466, 723, 355, 440.

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}.