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LCM of 206, 290, 232, 941, 868

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


Find the LCM of 206, 290, 232, 941, 868 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 206, 290, 232, 941, 868. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 206,290,232,941,868

Given numbers are 206,290,232,941,868

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

The LCM of 206,290,232,941,868 is 24397457560.

Find LCM of 206,290,232,941,868 with Prime Factorization


2 206, 290, 232, 941, 868
2 103, 145, 116, 941, 434
29 103, 145, 58, 941, 217
103, 5, 2, 941, 217

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

2 x 2 x 29 x 103 x 5 x 2 x 941 x 217 = 24397457560

Therefore, the lowest common multiple of 206,290,232,941,868 is 24397457560.

LCM Formula to Find Lowest Common Multiple of 206,290,232,941,868

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.

206 x 290 x 232 x 941 x 868 = 11320420307840

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.

206 : 1, 2, 103, 206

290 : 1, 2, 5, 10, 29, 58, 145, 290

232 : 1, 2, 4, 8, 29, 58, 116, 232

941 : 1, 941

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,290,232,941,868, is 1.

Now, the common factors can be found like this.

206:2x 103

290:2x 5x 29

232:2x 2x 2x 29

941:941

868:2x 2x 7x 31

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 29 = 464

Therefore, the value for common factors is 464.

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 = 11320420307840/(1x464)

LCM = 11320420307840/464

LCM = 24397457560

Thus, we can understand that the LCM of 206,290,232,941,868 is 24397457560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 206, 290, 232, 941, 868

1. What is the LCM of 206, 290, 232, 941, 868?

Answer: LCM of 206, 290, 232, 941, 868 is 24397457560.

2. How to calculate the LCM of 206, 290, 232, 941, 868?

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 206, 290, 232, 941, 868.

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}.