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LCM of 481, 457, 259

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


Find the LCM of 481, 457, 259 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 481, 457, 259. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 481,457,259

Given numbers are 481,457,259

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

The LCM of 481,457,259 is 1538719.

Find LCM of 481,457,259 with Prime Factorization


37 481, 457, 259
13, 457, 7

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

37 x 13 x 457 x 7 = 1538719

Therefore, the lowest common multiple of 481,457,259 is 1538719.

LCM Formula to Find Lowest Common Multiple of 481,457,259

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.

481 x 457 x 259 = 56932603

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.

481 : 1, 13, 37, 481

457 : 1, 457

259 : 1, 7, 37, 259

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,457,259, is 1.

Now, the common factors can be found like this.

481:13x 37

457:457

259:7x 37

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

37 = 37

Therefore, the value for common factors is 37.

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 = 56932603/(1x37)

LCM = 56932603/37

LCM = 1538719

Thus, we can understand that the LCM of 481,457,259 is 1538719.

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FAQs on LCM of 481, 457, 259

1. What is the LCM of 481, 457, 259?

Answer: LCM of 481, 457, 259 is 1538719.

2. How to calculate the LCM of 481, 457, 259?

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 481, 457, 259.

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}.