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LCM of 725, 226, 339, 487

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


Find the LCM of 725, 226, 339, 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 725, 226, 339, 487. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 725,226,339,487

Given numbers are 725,226,339,487

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

The LCM of 725,226,339,487 is 239384850.

Find LCM of 725,226,339,487 with Prime Factorization


113 725, 226, 339, 487
725, 2, 3, 487

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

113 x 725 x 2 x 3 x 487 = 239384850

Therefore, the lowest common multiple of 725,226,339,487 is 239384850.

LCM Formula to Find Lowest Common Multiple of 725,226,339,487

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.

725 x 226 x 339 x 487 = 27050488050

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.

725 : 1, 5, 25, 29, 145, 725

226 : 1, 2, 113, 226

339 : 1, 3, 113, 339

487 : 1, 487

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,226,339,487, is 1.

Now, the common factors can be found like this.

725:5x 5x 29

226:2x 113

339:3x 113

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.

113 = 113

Therefore, the value for common factors is 113.

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 = 27050488050/(1x113)

LCM = 27050488050/113

LCM = 239384850

Thus, we can understand that the LCM of 725,226,339,487 is 239384850.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 725, 226, 339, 487

1. What is the LCM of 725, 226, 339, 487?

Answer: LCM of 725, 226, 339, 487 is 239384850.

2. How to calculate the LCM of 725, 226, 339, 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 725, 226, 339, 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}.