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LCM of 338, 642, 212, 115

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


Find the LCM of 338, 642, 212, 115 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 338, 642, 212, 115. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 338,642,212,115

Given numbers are 338,642,212,115

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

The LCM of 338,642,212,115 is 1322590620.

Find LCM of 338,642,212,115 with Prime Factorization


2 338, 642, 212, 115
169, 321, 106, 115

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

2 x 169 x 321 x 106 x 115 = 1322590620

Therefore, the lowest common multiple of 338,642,212,115 is 1322590620.

LCM Formula to Find Lowest Common Multiple of 338,642,212,115

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.

338 x 642 x 212 x 115 = 5290362480

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.

338 : 1, 2, 13, 26, 169, 338

642 : 1, 2, 3, 6, 107, 214, 321, 642

212 : 1, 2, 4, 53, 106, 212

115 : 1, 5, 23, 115

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,642,212,115, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

642:2x 3x 107

212:2x 2x 53

115:5x 23

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 5290362480/(1x4)

LCM = 5290362480/4

LCM = 1322590620

Thus, we can understand that the LCM of 338,642,212,115 is 1322590620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 338, 642, 212, 115

1. What is the LCM of 338, 642, 212, 115?

Answer: LCM of 338, 642, 212, 115 is 1322590620.

2. How to calculate the LCM of 338, 642, 212, 115?

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 338, 642, 212, 115.

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}.