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LCM of 677, 422, 422, 509

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


Find the LCM of 677, 422, 422, 509 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 677, 422, 422, 509. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 677,422,422,509

Given numbers are 677,422,422,509

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

The LCM of 677,422,422,509 is 145418246.

Find LCM of 677,422,422,509 with Prime Factorization


2 677, 422, 422, 509
211 677, 211, 211, 509
677, 1, 1, 509

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

2 x 211 x 677 x 1 x 1 x 509 = 145418246

Therefore, the lowest common multiple of 677,422,422,509 is 145418246.

LCM Formula to Find Lowest Common Multiple of 677,422,422,509

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.

677 x 422 x 422 x 509 = 61366499812

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.

677 : 1, 677

422 : 1, 2, 211, 422

422 : 1, 2, 211, 422

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,422,422,509, is 1.

Now, the common factors can be found like this.

677:677

422:2x 211

422:2x 211

509:509

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

2x 211 = 422

Therefore, the value for common factors is 422.

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 = 61366499812/(1x422)

LCM = 61366499812/422

LCM = 145418246

Thus, we can understand that the LCM of 677,422,422,509 is 145418246.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 677, 422, 422, 509

1. What is the LCM of 677, 422, 422, 509?

Answer: LCM of 677, 422, 422, 509 is 145418246.

2. How to calculate the LCM of 677, 422, 422, 509?

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 677, 422, 422, 509.

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}.