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LCM of 206, 308, 852, 861, 172

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


Find the LCM of 206, 308, 852, 861, 172 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, 308, 852, 861, 172. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 206,308,852,861,172

Given numbers are 206,308,852,861,172

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

The LCM of 206,308,852,861,172 is 11912964756.

Find LCM of 206,308,852,861,172 with Prime Factorization


2 206, 308, 852, 861, 172
2 103, 154, 426, 861, 86
3 103, 77, 213, 861, 43
7 103, 77, 71, 287, 43
103, 11, 71, 41, 43

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

2 x 2 x 3 x 7 x 103 x 11 x 71 x 41 x 43 = 11912964756

Therefore, the lowest common multiple of 206,308,852,861,172 is 11912964756.

LCM Formula to Find Lowest Common Multiple of 206,308,852,861,172

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 308 x 852 x 861 x 172 = 8005512316032

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

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

861 : 1, 3, 7, 21, 41, 123, 287, 861

172 : 1, 2, 4, 43, 86, 172

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,308,852,861,172, is 1.

Now, the common factors can be found like this.

206:2x 103

308:2x 2x 7x 11

852:2x 2x 3x 71

861:3x 7x 41

172:2x 2x 43

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 2x 3x 7 = 672

Therefore, the value for common factors is 672.

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 = 8005512316032/(1x672)

LCM = 8005512316032/672

LCM = 11912964756

Thus, we can understand that the LCM of 206,308,852,861,172 is 11912964756.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 206, 308, 852, 861, 172

1. What is the LCM of 206, 308, 852, 861, 172?

Answer: LCM of 206, 308, 852, 861, 172 is 11912964756.

2. How to calculate the LCM of 206, 308, 852, 861, 172?

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, 308, 852, 861, 172.

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}.