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LCM of 487, 667, 667, 209, 538

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


Find the LCM of 487, 667, 667, 209, 538 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 487, 667, 667, 209, 538. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 487,667,667,209,538

Given numbers are 487,667,667,209,538

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

The LCM of 487,667,667,209,538 is 36524422418.

Find LCM of 487,667,667,209,538 with Prime Factorization


23 487, 667, 667, 209, 538
29 487, 29, 29, 209, 538
487, 1, 1, 209, 538

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

23 x 29 x 487 x 1 x 1 x 209 x 538 = 36524422418

Therefore, the lowest common multiple of 487,667,667,209,538 is 36524422418.

LCM Formula to Find Lowest Common Multiple of 487,667,667,209,538

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.

487 x 667 x 667 x 209 x 538 = 24361789752806

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.

487 : 1, 487

667 : 1, 23, 29, 667

667 : 1, 23, 29, 667

209 : 1, 11, 19, 209

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,667,667,209,538, is 1.

Now, the common factors can be found like this.

487:487

667:23x 29

667:23x 29

209:11x 19

538:2x 269

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

23x 29 = 667

Therefore, the value for common factors is 667.

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 = 24361789752806/(1x667)

LCM = 24361789752806/667

LCM = 36524422418

Thus, we can understand that the LCM of 487,667,667,209,538 is 36524422418.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 487, 667, 667, 209, 538

1. What is the LCM of 487, 667, 667, 209, 538?

Answer: LCM of 487, 667, 667, 209, 538 is 36524422418.

2. How to calculate the LCM of 487, 667, 667, 209, 538?

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 487, 667, 667, 209, 538.

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}.