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LCM of 422, 671, 671, 321

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


Find the LCM of 422, 671, 671, 321 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, 671, 671, 321. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 422,671,671,321

Given numbers are 422,671,671,321

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

The LCM of 422,671,671,321 is 90895002.

Find LCM of 422,671,671,321 with Prime Factorization


11 422, 671, 671, 321
61 422, 61, 61, 321
422, 1, 1, 321

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

11 x 61 x 422 x 1 x 1 x 321 = 90895002

Therefore, the lowest common multiple of 422,671,671,321 is 90895002.

LCM Formula to Find Lowest Common Multiple of 422,671,671,321

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 671 x 671 x 321 = 60990546342

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

671 : 1, 11, 61, 671

671 : 1, 11, 61, 671

321 : 1, 3, 107, 321

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,671,671,321, is 1.

Now, the common factors can be found like this.

422:2x 211

671:11x 61

671:11x 61

321:3x 107

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

11x 61 = 671

Therefore, the value for common factors is 671.

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 = 60990546342/(1x671)

LCM = 60990546342/671

LCM = 90895002

Thus, we can understand that the LCM of 422,671,671,321 is 90895002.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 422, 671, 671, 321

1. What is the LCM of 422, 671, 671, 321?

Answer: LCM of 422, 671, 671, 321 is 90895002.

2. How to calculate the LCM of 422, 671, 671, 321?

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, 671, 671, 321.

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}.