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LCM of 341, 878, 352, 755, 835

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


Find the LCM of 341, 878, 352, 755, 835 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 341, 878, 352, 755, 835. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 341,878,352,755,835

Given numbers are 341,878,352,755,835

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

The LCM of 341,878,352,755,835 is 603993549280.

Find LCM of 341,878,352,755,835 with Prime Factorization


2 341, 878, 352, 755, 835
5 341, 439, 176, 755, 835
11 341, 439, 176, 151, 167
31, 439, 16, 151, 167

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

2 x 5 x 11 x 31 x 439 x 16 x 151 x 167 = 603993549280

Therefore, the lowest common multiple of 341,878,352,755,835 is 603993549280.

LCM Formula to Find Lowest Common Multiple of 341,878,352,755,835

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.

341 x 878 x 352 x 755 x 835 = 66439290420800

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.

341 : 1, 11, 31, 341

878 : 1, 2, 439, 878

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

755 : 1, 5, 151, 755

835 : 1, 5, 167, 835

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,878,352,755,835, is 1.

Now, the common factors can be found like this.

341:11x 31

878:2x 439

352:2x 2x 2x 2x 2x 11

755:5x 151

835:5x 167

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

2x 5x 11 = 110

Therefore, the value for common factors is 110.

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 = 66439290420800/(1x110)

LCM = 66439290420800/110

LCM = 603993549280

Thus, we can understand that the LCM of 341,878,352,755,835 is 603993549280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 341, 878, 352, 755, 835

1. What is the LCM of 341, 878, 352, 755, 835?

Answer: LCM of 341, 878, 352, 755, 835 is 603993549280.

2. How to calculate the LCM of 341, 878, 352, 755, 835?

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 341, 878, 352, 755, 835.

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}.