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LCM of 231, 487, 517, 487

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


Find the LCM of 231, 487, 517, 487 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 231, 487, 517, 487. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 231,487,517,487

Given numbers are 231,487,517,487

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

The LCM of 231,487,517,487 is 5287359.

Find LCM of 231,487,517,487 with Prime Factorization


11 231, 487, 517, 487
487 21, 487, 47, 487
21, 1, 47, 1

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

11 x 487 x 21 x 1 x 47 x 1 = 5287359

Therefore, the lowest common multiple of 231,487,517,487 is 5287359.

LCM Formula to Find Lowest Common Multiple of 231,487,517,487

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.

231 x 487 x 517 x 487 = 28324382163

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.

231 : 1, 3, 7, 11, 21, 33, 77, 231

487 : 1, 487

517 : 1, 11, 47, 517

487 : 1, 487

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 231,487,517,487, is 1.

Now, the common factors can be found like this.

231:3x 7x 11

487:487

517:11x 47

487:487

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

11x 487 = 5357

Therefore, the value for common factors is 5357.

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 = 28324382163/(1x5357)

LCM = 28324382163/5357

LCM = 5287359

Thus, we can understand that the LCM of 231,487,517,487 is 5287359.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 231, 487, 517, 487

1. What is the LCM of 231, 487, 517, 487?

Answer: LCM of 231, 487, 517, 487 is 5287359.

2. How to calculate the LCM of 231, 487, 517, 487?

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 231, 487, 517, 487.

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}.