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LCM of 83, 194, 388

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


Find the LCM of 83, 194, 388 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 83, 194, 388. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 83,194,388

Given numbers are 83,194,388

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

The LCM of 83,194,388 is 32204.

Find LCM of 83,194,388 with Prime Factorization


2 83, 194, 388
97 83, 97, 194
83, 1, 2

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

2 x 97 x 83 x 1 x 2 = 32204

Therefore, the lowest common multiple of 83,194,388 is 32204.

LCM Formula to Find Lowest Common Multiple of 83,194,388

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.

83 x 194 x 388 = 6247576

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.

83 : 1, 83

194 : 1, 2, 97, 194

388 : 1, 2, 4, 97, 194, 388

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 83,194,388, is 1.

Now, the common factors can be found like this.

83:83

194:2x 97

388:2x 2x 97

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

2x 97 = 194

Therefore, the value for common factors is 194.

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 = 6247576/(1x194)

LCM = 6247576/194

LCM = 32204

Thus, we can understand that the LCM of 83,194,388 is 32204.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 83, 194, 388

1. What is the LCM of 83, 194, 388?

Answer: LCM of 83, 194, 388 is 32204.

2. How to calculate the LCM of 83, 194, 388?

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 83, 194, 388.

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}.