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LCM of 379, 679, 225, 582

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


Find the LCM of 379, 679, 225, 582 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 379, 679, 225, 582. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 379,679,225,582

Given numbers are 379,679,225,582

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

The LCM of 379,679,225,582 is 115803450.

Find LCM of 379,679,225,582 with Prime Factorization


3 379, 679, 225, 582
97 379, 679, 75, 194
379, 7, 75, 2

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

3 x 97 x 379 x 7 x 75 x 2 = 115803450

Therefore, the lowest common multiple of 379,679,225,582 is 115803450.

LCM Formula to Find Lowest Common Multiple of 379,679,225,582

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.

379 x 679 x 225 x 582 = 33698803950

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.

379 : 1, 379

679 : 1, 7, 97, 679

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

582 : 1, 2, 3, 6, 97, 194, 291, 582

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,679,225,582, is 1.

Now, the common factors can be found like this.

379:379

679:7x 97

225:3x 3x 5x 5

582:2x 3x 97

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

3x 97 = 291

Therefore, the value for common factors is 291.

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 = 33698803950/(1x291)

LCM = 33698803950/291

LCM = 115803450

Thus, we can understand that the LCM of 379,679,225,582 is 115803450.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 379, 679, 225, 582

1. What is the LCM of 379, 679, 225, 582?

Answer: LCM of 379, 679, 225, 582 is 115803450.

2. How to calculate the LCM of 379, 679, 225, 582?

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 379, 679, 225, 582.

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}.