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LCM of 324, 422, 646, 305, 270

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


Find the LCM of 324, 422, 646, 305, 270 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 324, 422, 646, 305, 270. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 324,422,646,305,270

Given numbers are 324,422,646,305,270

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

The LCM of 324,422,646,305,270 is 6734879460.

Find LCM of 324,422,646,305,270 with Prime Factorization


2 324, 422, 646, 305, 270
3 162, 211, 323, 305, 135
3 54, 211, 323, 305, 45
3 18, 211, 323, 305, 15
5 6, 211, 323, 305, 5
6, 211, 323, 61, 1

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

2 x 3 x 3 x 3 x 5 x 6 x 211 x 323 x 61 x 1 = 6734879460

Therefore, the lowest common multiple of 324,422,646,305,270 is 6734879460.

LCM Formula to Find Lowest Common Multiple of 324,422,646,305,270

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.

324 x 422 x 646 x 305 x 270 = 7273669816800

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.

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

422 : 1, 2, 211, 422

646 : 1, 2, 17, 19, 34, 38, 323, 646

305 : 1, 5, 61, 305

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,422,646,305,270, is 1.

Now, the common factors can be found like this.

324:2x 2x 3x 3x 3x 3

422:2x 211

646:2x 17x 19

305:5x 61

270:2x 3x 3x 3x 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 2x 2x 3x 3x 3x 5 = 1080

Therefore, the value for common factors is 1080.

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 = 7273669816800/(1x1080)

LCM = 7273669816800/1080

LCM = 6734879460

Thus, we can understand that the LCM of 324,422,646,305,270 is 6734879460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 324, 422, 646, 305, 270

1. What is the LCM of 324, 422, 646, 305, 270?

Answer: LCM of 324, 422, 646, 305, 270 is 6734879460.

2. How to calculate the LCM of 324, 422, 646, 305, 270?

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 324, 422, 646, 305, 270.

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}.