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LCM of 883, 342, 728, 887, 887

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


Find the LCM of 883, 342, 728, 887, 887 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 883, 342, 728, 887, 887. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 883,342,728,887,887

Given numbers are 883,342,728,887,887

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

The LCM of 883,342,728,887,887 is 97501615848.

Find LCM of 883,342,728,887,887 with Prime Factorization


2 883, 342, 728, 887, 887
887 883, 171, 364, 887, 887
883, 171, 364, 1, 1

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

2 x 887 x 883 x 171 x 364 x 1 x 1 = 97501615848

Therefore, the lowest common multiple of 883,342,728,887,887 is 97501615848.

LCM Formula to Find Lowest Common Multiple of 883,342,728,887,887

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.

883 x 342 x 728 x 887 x 887 = 172967866514352

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.

883 : 1, 883

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

887 : 1, 887

887 : 1, 887

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 883,342,728,887,887, is 1.

Now, the common factors can be found like this.

883:883

342:2x 3x 3x 19

728:2x 2x 2x 7x 13

887:887

887:887

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

2x 887 = 1774

Therefore, the value for common factors is 1774.

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 = 172967866514352/(1x1774)

LCM = 172967866514352/1774

LCM = 97501615848

Thus, we can understand that the LCM of 883,342,728,887,887 is 97501615848.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 883, 342, 728, 887, 887

1. What is the LCM of 883, 342, 728, 887, 887?

Answer: LCM of 883, 342, 728, 887, 887 is 97501615848.

2. How to calculate the LCM of 883, 342, 728, 887, 887?

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 883, 342, 728, 887, 887.

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}.