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LCM of 125, 240, 413

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


Find the LCM of 125, 240, 413 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 125, 240, 413. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 125,240,413

Given numbers are 125,240,413

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

The LCM of 125,240,413 is 2478000.

Find LCM of 125,240,413 with Prime Factorization


5 125, 240, 413
25, 48, 413

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

5 x 25 x 48 x 413 = 2478000

Therefore, the lowest common multiple of 125,240,413 is 2478000.

LCM Formula to Find Lowest Common Multiple of 125,240,413

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.

125 x 240 x 413 = 12390000

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.

125 : 1, 5, 25, 125

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 125,240,413, is 1.

Now, the common factors can be found like this.

125:5x 5x 5

240:2x 2x 2x 2x 3x 5

413:7x 59

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

5 = 5

Therefore, the value for common factors is 5.

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 = 12390000/(1x5)

LCM = 12390000/5

LCM = 2478000

Thus, we can understand that the LCM of 125,240,413 is 2478000.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 125, 240, 413

1. What is the LCM of 125, 240, 413?

Answer: LCM of 125, 240, 413 is 2478000.

2. How to calculate the LCM of 125, 240, 413?

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 125, 240, 413.

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}.