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LCM of 436, 774, 391, 422

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


Find the LCM of 436, 774, 391, 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 436, 774, 391, 422. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 436,774,391,422

Given numbers are 436,774,391,422

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

The LCM of 436,774,391,422 is 13920558732.

Find LCM of 436,774,391,422 with Prime Factorization


2 436, 774, 391, 422
218, 387, 391, 211

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

2 x 218 x 387 x 391 x 211 = 13920558732

Therefore, the lowest common multiple of 436,774,391,422 is 13920558732.

LCM Formula to Find Lowest Common Multiple of 436,774,391,422

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.

436 x 774 x 391 x 422 = 55682234928

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.

436 : 1, 2, 4, 109, 218, 436

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

391 : 1, 17, 23, 391

422 : 1, 2, 211, 422

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 436,774,391,422, is 1.

Now, the common factors can be found like this.

436:2x 2x 109

774:2x 3x 3x 43

391:17x 23

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 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 = 55682234928/(1x4)

LCM = 55682234928/4

LCM = 13920558732

Thus, we can understand that the LCM of 436,774,391,422 is 13920558732.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 436, 774, 391, 422

1. What is the LCM of 436, 774, 391, 422?

Answer: LCM of 436, 774, 391, 422 is 13920558732.

2. How to calculate the LCM of 436, 774, 391, 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 436, 774, 391, 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}.