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LCM of 130, 195, 883, 200

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


Find the LCM of 130, 195, 883, 200 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 130, 195, 883, 200. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 130,195,883,200

Given numbers are 130,195,883,200

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

The LCM of 130,195,883,200 is 6887400.

Find LCM of 130,195,883,200 with Prime Factorization


2 130, 195, 883, 200
5 65, 195, 883, 100
13 13, 39, 883, 20
1, 3, 883, 20

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

2 x 5 x 13 x 1 x 3 x 883 x 20 = 6887400

Therefore, the lowest common multiple of 130,195,883,200 is 6887400.

LCM Formula to Find Lowest Common Multiple of 130,195,883,200

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.

130 x 195 x 883 x 200 = 4476810000

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.

130 : 1, 2, 5, 10, 13, 26, 65, 130

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

883 : 1, 883

200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,195,883,200, is 1.

Now, the common factors can be found like this.

130:2x 5x 13

195:3x 5x 13

883:883

200:2x 2x 2x 5x 5

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 5x 13 = 650

Therefore, the value for common factors is 650.

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 = 4476810000/(1x650)

LCM = 4476810000/650

LCM = 6887400

Thus, we can understand that the LCM of 130,195,883,200 is 6887400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 130, 195, 883, 200

1. What is the LCM of 130, 195, 883, 200?

Answer: LCM of 130, 195, 883, 200 is 6887400.

2. How to calculate the LCM of 130, 195, 883, 200?

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 130, 195, 883, 200.

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}.