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LCM of 204, 340, 794, 334, 790

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


Find the LCM of 204, 340, 794, 334, 790 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 204, 340, 794, 334, 790. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 204,340,794,334,790

Given numbers are 204,340,794,334,790

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

The LCM of 204,340,794,334,790 is 5342373420.

Find LCM of 204,340,794,334,790 with Prime Factorization


2 204, 340, 794, 334, 790
2 102, 170, 397, 167, 395
5 51, 85, 397, 167, 395
17 51, 17, 397, 167, 79
3, 1, 397, 167, 79

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

2 x 2 x 5 x 17 x 3 x 1 x 397 x 167 x 79 = 5342373420

Therefore, the lowest common multiple of 204,340,794,334,790 is 5342373420.

LCM Formula to Find Lowest Common Multiple of 204,340,794,334,790

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.

204 x 340 x 794 x 334 x 790 = 14531255702400

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.

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

794 : 1, 2, 397, 794

334 : 1, 2, 167, 334

790 : 1, 2, 5, 10, 79, 158, 395, 790

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,340,794,334,790, is 2.

Now, the common factors can be found like this.

204:2x 2x 3x 17

340:2x 2x 5x 17

794:2x 397

334:2x 167

790:2x 5x 79

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 2x 2x 5x 17 = 1360

Therefore, the value for common factors is 1360.

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 = 14531255702400/(2x1360)

LCM = 14531255702400/2720

LCM = 5342373420

Thus, we can understand that the LCM of 204,340,794,334,790 is 5342373420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 204, 340, 794, 334, 790

1. What is the LCM of 204, 340, 794, 334, 790?

Answer: LCM of 204, 340, 794, 334, 790 is 5342373420.

2. How to calculate the LCM of 204, 340, 794, 334, 790?

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 204, 340, 794, 334, 790.

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}.