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LCM of 422, 849, 566

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


Find the LCM of 422, 849, 566 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, 849, 566. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 422,849,566

Given numbers are 422,849,566

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

The LCM of 422,849,566 is 358278.

Find LCM of 422,849,566 with Prime Factorization


2 422, 849, 566
283 211, 849, 283
211, 3, 1

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

2 x 283 x 211 x 3 x 1 = 358278

Therefore, the lowest common multiple of 422,849,566 is 358278.

LCM Formula to Find Lowest Common Multiple of 422,849,566

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 849 x 566 = 202785348

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

849 : 1, 3, 283, 849

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,849,566, is 1.

Now, the common factors can be found like this.

422:2x 211

849:3x 283

566:2x 283

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

2x 283 = 566

Therefore, the value for common factors is 566.

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 = 202785348/(1x566)

LCM = 202785348/566

LCM = 358278

Thus, we can understand that the LCM of 422,849,566 is 358278.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 422, 849, 566

1. What is the LCM of 422, 849, 566?

Answer: LCM of 422, 849, 566 is 358278.

2. How to calculate the LCM of 422, 849, 566?

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, 849, 566.

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}.