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LCM of 254, 723, 415, 415

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


Find the LCM of 254, 723, 415, 415 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 254, 723, 415, 415. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 254,723,415,415

Given numbers are 254,723,415,415

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

The LCM of 254,723,415,415 is 76211430.

Find LCM of 254,723,415,415 with Prime Factorization


5 254, 723, 415, 415
83 254, 723, 83, 83
254, 723, 1, 1

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

5 x 83 x 254 x 723 x 1 x 1 = 76211430

Therefore, the lowest common multiple of 254,723,415,415 is 76211430.

LCM Formula to Find Lowest Common Multiple of 254,723,415,415

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.

254 x 723 x 415 x 415 = 31627743450

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.

254 : 1, 2, 127, 254

723 : 1, 3, 241, 723

415 : 1, 5, 83, 415

415 : 1, 5, 83, 415

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,723,415,415, is 1.

Now, the common factors can be found like this.

254:2x 127

723:3x 241

415:5x 83

415:5x 83

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

5x 83 = 415

Therefore, the value for common factors is 415.

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 = 31627743450/(1x415)

LCM = 31627743450/415

LCM = 76211430

Thus, we can understand that the LCM of 254,723,415,415 is 76211430.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 254, 723, 415, 415

1. What is the LCM of 254, 723, 415, 415?

Answer: LCM of 254, 723, 415, 415 is 76211430.

2. How to calculate the LCM of 254, 723, 415, 415?

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 254, 723, 415, 415.

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}.