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LCM of 596, 578, 259, 721

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


Find the LCM of 596, 578, 259, 721 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 596, 578, 259, 721. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 596,578,259,721

Given numbers are 596,578,259,721

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

The LCM of 596,578,259,721 is 4594953188.

Find LCM of 596,578,259,721 with Prime Factorization


2 596, 578, 259, 721
7 298, 289, 259, 721
298, 289, 37, 103

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

2 x 7 x 298 x 289 x 37 x 103 = 4594953188

Therefore, the lowest common multiple of 596,578,259,721 is 4594953188.

LCM Formula to Find Lowest Common Multiple of 596,578,259,721

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.

596 x 578 x 259 x 721 = 64329344632

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.

596 : 1, 2, 4, 149, 298, 596

578 : 1, 2, 17, 34, 289, 578

259 : 1, 7, 37, 259

721 : 1, 7, 103, 721

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,578,259,721, is 1.

Now, the common factors can be found like this.

596:2x 2x 149

578:2x 17x 17

259:7x 37

721:7x 103

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 64329344632/(1x14)

LCM = 64329344632/14

LCM = 4594953188

Thus, we can understand that the LCM of 596,578,259,721 is 4594953188.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 596, 578, 259, 721

1. What is the LCM of 596, 578, 259, 721?

Answer: LCM of 596, 578, 259, 721 is 4594953188.

2. How to calculate the LCM of 596, 578, 259, 721?

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 596, 578, 259, 721.

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}.