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LCM of 195, 425, 381, 341, 874

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


Find the LCM of 195, 425, 381, 341, 874 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 195, 425, 381, 341, 874. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 195,425,381,341,874

Given numbers are 195,425,381,341,874

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

The LCM of 195,425,381,341,874 is 627369020850.

Find LCM of 195,425,381,341,874 with Prime Factorization


3 195, 425, 381, 341, 874
5 65, 425, 127, 341, 874
13, 85, 127, 341, 874

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

3 x 5 x 13 x 85 x 127 x 341 x 874 = 627369020850

Therefore, the lowest common multiple of 195,425,381,341,874 is 627369020850.

LCM Formula to Find Lowest Common Multiple of 195,425,381,341,874

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.

195 x 425 x 381 x 341 x 874 = 9410535312750

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.

195 : 1, 3, 5, 13, 15, 39, 65, 195

425 : 1, 5, 17, 25, 85, 425

381 : 1, 3, 127, 381

341 : 1, 11, 31, 341

874 : 1, 2, 19, 23, 38, 46, 437, 874

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 195,425,381,341,874, is 1.

Now, the common factors can be found like this.

195:3x 5x 13

425:5x 5x 17

381:3x 127

341:11x 31

874:2x 19x 23

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 9410535312750/(1x15)

LCM = 9410535312750/15

LCM = 627369020850

Thus, we can understand that the LCM of 195,425,381,341,874 is 627369020850.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 195, 425, 381, 341, 874

1. What is the LCM of 195, 425, 381, 341, 874?

Answer: LCM of 195, 425, 381, 341, 874 is 627369020850.

2. How to calculate the LCM of 195, 425, 381, 341, 874?

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 195, 425, 381, 341, 874.

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}.