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LCM of 422, 659, 489, 286, 391

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


Find the LCM of 422, 659, 489, 286, 391 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 422, 659, 489, 286, 391. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 422,659,489,286,391

Given numbers are 422,659,489,286,391

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

The LCM of 422,659,489,286,391 is 7603604508786.

Find LCM of 422,659,489,286,391 with Prime Factorization


2 422, 659, 489, 286, 391
211, 659, 489, 143, 391

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

2 x 211 x 659 x 489 x 143 x 391 = 7603604508786

Therefore, the lowest common multiple of 422,659,489,286,391 is 7603604508786.

LCM Formula to Find Lowest Common Multiple of 422,659,489,286,391

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.

422 x 659 x 489 x 286 x 391 = 15207209017572

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.

422 : 1, 2, 211, 422

659 : 1, 659

489 : 1, 3, 163, 489

286 : 1, 2, 11, 13, 22, 26, 143, 286

391 : 1, 17, 23, 391

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,659,489,286,391, is 1.

Now, the common factors can be found like this.

422:2x 211

659:659

489:3x 163

286:2x 11x 13

391:17x 23

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

2 = 2

Therefore, the value for common factors is 2.

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 = 15207209017572/(1x2)

LCM = 15207209017572/2

LCM = 7603604508786

Thus, we can understand that the LCM of 422,659,489,286,391 is 7603604508786.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 422, 659, 489, 286, 391

1. What is the LCM of 422, 659, 489, 286, 391?

Answer: LCM of 422, 659, 489, 286, 391 is 7603604508786.

2. How to calculate the LCM of 422, 659, 489, 286, 391?

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 422, 659, 489, 286, 391.

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}.