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LCM of 812, 580, 726, 298

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


Find the LCM of 812, 580, 726, 298 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 812, 580, 726, 298. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 812,580,726,298

Given numbers are 812,580,726,298

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

The LCM of 812,580,726,298 is 219593220.

Find LCM of 812,580,726,298 with Prime Factorization


2 812, 580, 726, 298
2 406, 290, 363, 149
29 203, 145, 363, 149
7, 5, 363, 149

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

2 x 2 x 29 x 7 x 5 x 363 x 149 = 219593220

Therefore, the lowest common multiple of 812,580,726,298 is 219593220.

LCM Formula to Find Lowest Common Multiple of 812,580,726,298

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.

812 x 580 x 726 x 298 = 101891254080

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.

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

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

298 : 1, 2, 149, 298

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,580,726,298, is 2.

Now, the common factors can be found like this.

812:2x 2x 7x 29

580:2x 2x 5x 29

726:2x 3x 11x 11

298:2x 149

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

2x 2x 2x 29 = 232

Therefore, the value for common factors is 232.

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 = 101891254080/(2x232)

LCM = 101891254080/464

LCM = 219593220

Thus, we can understand that the LCM of 812,580,726,298 is 219593220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 812, 580, 726, 298

1. What is the LCM of 812, 580, 726, 298?

Answer: LCM of 812, 580, 726, 298 is 219593220.

2. How to calculate the LCM of 812, 580, 726, 298?

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 812, 580, 726, 298.

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}.