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LCM of 326, 180, 680, 439, 957

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


Find the LCM of 326, 180, 680, 439, 957 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 326, 180, 680, 439, 957. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 326,180,680,439,957

Given numbers are 326,180,680,439,957

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

The LCM of 326,180,680,439,957 is 139699299960.

Find LCM of 326,180,680,439,957 with Prime Factorization


2 326, 180, 680, 439, 957
2 163, 90, 340, 439, 957
3 163, 45, 170, 439, 957
5 163, 15, 170, 439, 319
163, 3, 34, 439, 319

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

2 x 2 x 3 x 5 x 163 x 3 x 34 x 439 x 319 = 139699299960

Therefore, the lowest common multiple of 326,180,680,439,957 is 139699299960.

LCM Formula to Find Lowest Common Multiple of 326,180,680,439,957

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.

326 x 180 x 680 x 439 x 957 = 16763915995200

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.

326 : 1, 2, 163, 326

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

439 : 1, 439

957 : 1, 3, 11, 29, 33, 87, 319, 957

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,180,680,439,957, is 1.

Now, the common factors can be found like this.

326:2x 163

180:2x 2x 3x 3x 5

680:2x 2x 2x 5x 17

439:439

957:3x 11x 29

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 3x 5 = 120

Therefore, the value for common factors is 120.

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 = 16763915995200/(1x120)

LCM = 16763915995200/120

LCM = 139699299960

Thus, we can understand that the LCM of 326,180,680,439,957 is 139699299960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 326, 180, 680, 439, 957

1. What is the LCM of 326, 180, 680, 439, 957?

Answer: LCM of 326, 180, 680, 439, 957 is 139699299960.

2. How to calculate the LCM of 326, 180, 680, 439, 957?

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 326, 180, 680, 439, 957.

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}.