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LCM of 721, 440, 362, 439

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


Find the LCM of 721, 440, 362, 439 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 721, 440, 362, 439. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 721,440,362,439

Given numbers are 721,440,362,439

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

The LCM of 721,440,362,439 is 25207573160.

Find LCM of 721,440,362,439 with Prime Factorization


2 721, 440, 362, 439
721, 220, 181, 439

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

2 x 721 x 220 x 181 x 439 = 25207573160

Therefore, the lowest common multiple of 721,440,362,439 is 25207573160.

LCM Formula to Find Lowest Common Multiple of 721,440,362,439

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.

721 x 440 x 362 x 439 = 50415146320

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.

721 : 1, 7, 103, 721

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

362 : 1, 2, 181, 362

439 : 1, 439

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,440,362,439, is 1.

Now, the common factors can be found like this.

721:7x 103

440:2x 2x 2x 5x 11

362:2x 181

439:439

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

2 = 2

Therefore, the value for common factors is 2.

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 = 50415146320/(1x2)

LCM = 50415146320/2

LCM = 25207573160

Thus, we can understand that the LCM of 721,440,362,439 is 25207573160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 721, 440, 362, 439

1. What is the LCM of 721, 440, 362, 439?

Answer: LCM of 721, 440, 362, 439 is 25207573160.

2. How to calculate the LCM of 721, 440, 362, 439?

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 721, 440, 362, 439.

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}.