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LCM of 577, 601, 798, 332, 415

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


Find the LCM of 577, 601, 798, 332, 415 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 577, 601, 798, 332, 415. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 577,601,798,332,415

Given numbers are 577,601,798,332,415

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

The LCM of 577,601,798,332,415 is 229684278180.

Find LCM of 577,601,798,332,415 with Prime Factorization


2 577, 601, 798, 332, 415
83 577, 601, 399, 166, 415
577, 601, 399, 2, 5

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

2 x 83 x 577 x 601 x 399 x 2 x 5 = 229684278180

Therefore, the lowest common multiple of 577,601,798,332,415 is 229684278180.

LCM Formula to Find Lowest Common Multiple of 577,601,798,332,415

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.

577 x 601 x 798 x 332 x 415 = 38127590177880

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.

577 : 1, 577

601 : 1, 601

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

332 : 1, 2, 4, 83, 166, 332

415 : 1, 5, 83, 415

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,601,798,332,415, is 1.

Now, the common factors can be found like this.

577:577

601:601

798:2x 3x 7x 19

332:2x 2x 83

415:5x 83

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

2x 83 = 166

Therefore, the value for common factors is 166.

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 = 38127590177880/(1x166)

LCM = 38127590177880/166

LCM = 229684278180

Thus, we can understand that the LCM of 577,601,798,332,415 is 229684278180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 577, 601, 798, 332, 415

1. What is the LCM of 577, 601, 798, 332, 415?

Answer: LCM of 577, 601, 798, 332, 415 is 229684278180.

2. How to calculate the LCM of 577, 601, 798, 332, 415?

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 577, 601, 798, 332, 415.

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}.