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LCM of 574, 385, 182, 725

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


Find the LCM of 574, 385, 182, 725 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 574, 385, 182, 725. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 574,385,182,725

Given numbers are 574,385,182,725

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

The LCM of 574,385,182,725 is 59509450.

Find LCM of 574,385,182,725 with Prime Factorization


2 574, 385, 182, 725
5 287, 385, 91, 725
7 287, 77, 91, 145
41, 11, 13, 145

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

2 x 5 x 7 x 41 x 11 x 13 x 145 = 59509450

Therefore, the lowest common multiple of 574,385,182,725 is 59509450.

LCM Formula to Find Lowest Common Multiple of 574,385,182,725

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.

574 x 385 x 182 x 725 = 29159630500

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.

574 : 1, 2, 7, 14, 41, 82, 287, 574

385 : 1, 5, 7, 11, 35, 55, 77, 385

182 : 1, 2, 7, 13, 14, 26, 91, 182

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,385,182,725, is 1.

Now, the common factors can be found like this.

574:2x 7x 41

385:5x 7x 11

182:2x 7x 13

725:5x 5x 29

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

2x 5x 7x 7 = 490

Therefore, the value for common factors is 490.

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 = 29159630500/(1x490)

LCM = 29159630500/490

LCM = 59509450

Thus, we can understand that the LCM of 574,385,182,725 is 59509450.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 574, 385, 182, 725

1. What is the LCM of 574, 385, 182, 725?

Answer: LCM of 574, 385, 182, 725 is 59509450.

2. How to calculate the LCM of 574, 385, 182, 725?

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 574, 385, 182, 725.

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}.