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LCM of 559, 375, 455, 415

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


Find the LCM of 559, 375, 455, 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 559, 375, 455, 415. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 559,375,455,415

Given numbers are 559,375,455,415

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

The LCM of 559,375,455,415 is 121792125.

Find LCM of 559,375,455,415 with Prime Factorization


5 559, 375, 455, 415
13 559, 75, 91, 83
43, 75, 7, 83

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

5 x 13 x 43 x 75 x 7 x 83 = 121792125

Therefore, the lowest common multiple of 559,375,455,415 is 121792125.

LCM Formula to Find Lowest Common Multiple of 559,375,455,415

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.

559 x 375 x 455 x 415 = 39582440625

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.

559 : 1, 13, 43, 559

375 : 1, 3, 5, 15, 25, 75, 125, 375

455 : 1, 5, 7, 13, 35, 65, 91, 455

415 : 1, 5, 83, 415

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 559,375,455,415, is 1.

Now, the common factors can be found like this.

559:13x 43

375:3x 5x 5x 5

455:5x 7x 13

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.

5x 5x 13 = 325

Therefore, the value for common factors is 325.

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 = 39582440625/(1x325)

LCM = 39582440625/325

LCM = 121792125

Thus, we can understand that the LCM of 559,375,455,415 is 121792125.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 559, 375, 455, 415

1. What is the LCM of 559, 375, 455, 415?

Answer: LCM of 559, 375, 455, 415 is 121792125.

2. How to calculate the LCM of 559, 375, 455, 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 559, 375, 455, 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}.