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LCM of 379, 236, 556, 522

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


Find the LCM of 379, 236, 556, 522 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, 236, 556, 522. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 379,236,556,522

Given numbers are 379,236,556,522

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

The LCM of 379,236,556,522 is 3244938876.

Find LCM of 379,236,556,522 with Prime Factorization


2 379, 236, 556, 522
2 379, 118, 278, 261
379, 59, 139, 261

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

2 x 2 x 379 x 59 x 139 x 261 = 3244938876

Therefore, the lowest common multiple of 379,236,556,522 is 3244938876.

LCM Formula to Find Lowest Common Multiple of 379,236,556,522

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 236 x 556 x 522 = 25959511008

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

236 : 1, 2, 4, 59, 118, 236

556 : 1, 2, 4, 139, 278, 556

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,236,556,522, is 1.

Now, the common factors can be found like this.

379:379

236:2x 2x 59

556:2x 2x 139

522:2x 3x 3x 29

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 2 = 8

Therefore, the value for common factors is 8.

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 = 25959511008/(1x8)

LCM = 25959511008/8

LCM = 3244938876

Thus, we can understand that the LCM of 379,236,556,522 is 3244938876.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 379, 236, 556, 522

1. What is the LCM of 379, 236, 556, 522?

Answer: LCM of 379, 236, 556, 522 is 3244938876.

2. How to calculate the LCM of 379, 236, 556, 522?

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, 236, 556, 522.

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}.