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LCM of 405, 864, 138, 353, 422

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


Find the LCM of 405, 864, 138, 353, 422 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 405, 864, 138, 353, 422. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 405,864,138,353,422

Given numbers are 405,864,138,353,422

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

The LCM of 405,864,138,353,422 is 22201892640.

Find LCM of 405,864,138,353,422 with Prime Factorization


2 405, 864, 138, 353, 422
3 405, 432, 69, 353, 211
3 135, 144, 23, 353, 211
3 45, 48, 23, 353, 211
15, 16, 23, 353, 211

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

2 x 3 x 3 x 3 x 15 x 16 x 23 x 353 x 211 = 22201892640

Therefore, the lowest common multiple of 405,864,138,353,422 is 22201892640.

LCM Formula to Find Lowest Common Multiple of 405,864,138,353,422

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.

405 x 864 x 138 x 353 x 422 = 7193413215360

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.

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

138 : 1, 2, 3, 6, 23, 46, 69, 138

353 : 1, 353

422 : 1, 2, 211, 422

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,864,138,353,422, is 1.

Now, the common factors can be found like this.

405:3x 3x 3x 3x 5

864:2x 2x 2x 2x 2x 3x 3x 3

138:2x 3x 23

353:353

422:2x 211

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 3x 3x 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 7193413215360/(1x324)

LCM = 7193413215360/324

LCM = 22201892640

Thus, we can understand that the LCM of 405,864,138,353,422 is 22201892640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 405, 864, 138, 353, 422

1. What is the LCM of 405, 864, 138, 353, 422?

Answer: LCM of 405, 864, 138, 353, 422 is 22201892640.

2. How to calculate the LCM of 405, 864, 138, 353, 422?

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 405, 864, 138, 353, 422.

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}.