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LCM of 617, 512, 453, 908

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


Find the LCM of 617, 512, 453, 908 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 617, 512, 453, 908. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 617,512,453,908

Given numbers are 617,512,453,908

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

The LCM of 617,512,453,908 is 32484724224.

Find LCM of 617,512,453,908 with Prime Factorization


2 617, 512, 453, 908
2 617, 256, 453, 454
617, 128, 453, 227

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

2 x 2 x 617 x 128 x 453 x 227 = 32484724224

Therefore, the lowest common multiple of 617,512,453,908 is 32484724224.

LCM Formula to Find Lowest Common Multiple of 617,512,453,908

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.

617 x 512 x 453 x 908 = 129938896896

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.

617 : 1, 617

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

453 : 1, 3, 151, 453

908 : 1, 2, 4, 227, 454, 908

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,512,453,908, is 1.

Now, the common factors can be found like this.

617:617

512:2x 2x 2x 2x 2x 2x 2x 2x 2

453:3x 151

908:2x 2x 227

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 = 129938896896/(1x4)

LCM = 129938896896/4

LCM = 32484724224

Thus, we can understand that the LCM of 617,512,453,908 is 32484724224.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 617, 512, 453, 908

1. What is the LCM of 617, 512, 453, 908?

Answer: LCM of 617, 512, 453, 908 is 32484724224.

2. How to calculate the LCM of 617, 512, 453, 908?

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 617, 512, 453, 908.

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}.