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LCM of 192, 354, 559, 394

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


Find the LCM of 192, 354, 559, 394 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 192, 354, 559, 394. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 192,354,559,394

Given numbers are 192,354,559,394

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

The LCM of 192,354,559,394 is 1247473344.

Find LCM of 192,354,559,394 with Prime Factorization


2 192, 354, 559, 394
3 96, 177, 559, 197
32, 59, 559, 197

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

2 x 3 x 32 x 59 x 559 x 197 = 1247473344

Therefore, the lowest common multiple of 192,354,559,394 is 1247473344.

LCM Formula to Find Lowest Common Multiple of 192,354,559,394

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.

192 x 354 x 559 x 394 = 14969680128

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.

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

354 : 1, 2, 3, 6, 59, 118, 177, 354

559 : 1, 13, 43, 559

394 : 1, 2, 197, 394

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,354,559,394, is 1.

Now, the common factors can be found like this.

192:2x 2x 2x 2x 2x 2x 3

354:2x 3x 59

559:13x 43

394:2x 197

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 3 = 12

Therefore, the value for common factors is 12.

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 = 14969680128/(1x12)

LCM = 14969680128/12

LCM = 1247473344

Thus, we can understand that the LCM of 192,354,559,394 is 1247473344.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 192, 354, 559, 394

1. What is the LCM of 192, 354, 559, 394?

Answer: LCM of 192, 354, 559, 394 is 1247473344.

2. How to calculate the LCM of 192, 354, 559, 394?

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 192, 354, 559, 394.

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}.