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LCM of 515, 171, 415, 475

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


Find the LCM of 515, 171, 415, 475 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 515, 171, 415, 475. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 515,171,415,475

Given numbers are 515,171,415,475

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

The LCM of 515,171,415,475 is 36546975.

Find LCM of 515,171,415,475 with Prime Factorization


5 515, 171, 415, 475
19 103, 171, 83, 95
103, 9, 83, 5

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

5 x 19 x 103 x 9 x 83 x 5 = 36546975

Therefore, the lowest common multiple of 515,171,415,475 is 36546975.

LCM Formula to Find Lowest Common Multiple of 515,171,415,475

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.

515 x 171 x 415 x 475 = 17359813125

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.

515 : 1, 5, 103, 515

171 : 1, 3, 9, 19, 57, 171

415 : 1, 5, 83, 415

475 : 1, 5, 19, 25, 95, 475

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,171,415,475, is 1.

Now, the common factors can be found like this.

515:5x 103

171:3x 3x 19

415:5x 83

475:5x 5x 19

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 19 = 475

Therefore, the value for common factors is 475.

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 = 17359813125/(1x475)

LCM = 17359813125/475

LCM = 36546975

Thus, we can understand that the LCM of 515,171,415,475 is 36546975.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 515, 171, 415, 475

1. What is the LCM of 515, 171, 415, 475?

Answer: LCM of 515, 171, 415, 475 is 36546975.

2. How to calculate the LCM of 515, 171, 415, 475?

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 515, 171, 415, 475.

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}.