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LCM of 225, 767, 499, 441, 559

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


Find the LCM of 225, 767, 499, 441, 559 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 225, 767, 499, 441, 559. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 225,767,499,441,559

Given numbers are 225,767,499,441,559

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

The LCM of 225,767,499,441,559 is 181444146975.

Find LCM of 225,767,499,441,559 with Prime Factorization


3 225, 767, 499, 441, 559
3 75, 767, 499, 147, 559
13 25, 767, 499, 49, 559
25, 59, 499, 49, 43

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

3 x 3 x 13 x 25 x 59 x 499 x 49 x 43 = 181444146975

Therefore, the lowest common multiple of 225,767,499,441,559 is 181444146975.

LCM Formula to Find Lowest Common Multiple of 225,767,499,441,559

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.

225 x 767 x 499 x 441 x 559 = 21228965196075

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.

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

767 : 1, 13, 59, 767

499 : 1, 499

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

559 : 1, 13, 43, 559

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 225,767,499,441,559, is 1.

Now, the common factors can be found like this.

225:3x 3x 5x 5

767:13x 59

499:499

441:3x 3x 7x 7

559:13x 43

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

3x 3x 13 = 117

Therefore, the value for common factors is 117.

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 = 21228965196075/(1x117)

LCM = 21228965196075/117

LCM = 181444146975

Thus, we can understand that the LCM of 225,767,499,441,559 is 181444146975.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 225, 767, 499, 441, 559

1. What is the LCM of 225, 767, 499, 441, 559?

Answer: LCM of 225, 767, 499, 441, 559 is 181444146975.

2. How to calculate the LCM of 225, 767, 499, 441, 559?

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 225, 767, 499, 441, 559.

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}.