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LCM of 308, 206, 834, 565

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


Find the LCM of 308, 206, 834, 565 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 308, 206, 834, 565. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 308,206,834,565

Given numbers are 308,206,834,565

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

The LCM of 308,206,834,565 is 7474333020.

Find LCM of 308,206,834,565 with Prime Factorization


2 308, 206, 834, 565
154, 103, 417, 565

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

2 x 154 x 103 x 417 x 565 = 7474333020

Therefore, the lowest common multiple of 308,206,834,565 is 7474333020.

LCM Formula to Find Lowest Common Multiple of 308,206,834,565

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.

308 x 206 x 834 x 565 = 29897332080

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.

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

206 : 1, 2, 103, 206

834 : 1, 2, 3, 6, 139, 278, 417, 834

565 : 1, 5, 113, 565

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,206,834,565, is 1.

Now, the common factors can be found like this.

308:2x 2x 7x 11

206:2x 103

834:2x 3x 139

565:5x 113

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 29897332080/(1x4)

LCM = 29897332080/4

LCM = 7474333020

Thus, we can understand that the LCM of 308,206,834,565 is 7474333020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 308, 206, 834, 565

1. What is the LCM of 308, 206, 834, 565?

Answer: LCM of 308, 206, 834, 565 is 7474333020.

2. How to calculate the LCM of 308, 206, 834, 565?

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 308, 206, 834, 565.

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}.