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LCM of 481, 435, 435, 258

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


Find the LCM of 481, 435, 435, 258 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, 435, 435, 258. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 481,435,435,258

Given numbers are 481,435,435,258

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

The LCM of 481,435,435,258 is 17994210.

Find LCM of 481,435,435,258 with Prime Factorization


3 481, 435, 435, 258
5 481, 145, 145, 86
29 481, 29, 29, 86
481, 1, 1, 86

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

3 x 5 x 29 x 481 x 1 x 1 x 86 = 17994210

Therefore, the lowest common multiple of 481,435,435,258 is 17994210.

LCM Formula to Find Lowest Common Multiple of 481,435,435,258

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 435 x 435 x 258 = 23482444050

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

435 : 1, 3, 5, 15, 29, 87, 145, 435

435 : 1, 3, 5, 15, 29, 87, 145, 435

258 : 1, 2, 3, 6, 43, 86, 129, 258

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,435,435,258, is 1.

Now, the common factors can be found like this.

481:13x 37

435:3x 5x 29

435:3x 5x 29

258:2x 3x 43

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

3x 3x 5x 29 = 1305

Therefore, the value for common factors is 1305.

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 = 23482444050/(1x1305)

LCM = 23482444050/1305

LCM = 17994210

Thus, we can understand that the LCM of 481,435,435,258 is 17994210.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 481, 435, 435, 258

1. What is the LCM of 481, 435, 435, 258?

Answer: LCM of 481, 435, 435, 258 is 17994210.

2. How to calculate the LCM of 481, 435, 435, 258?

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, 435, 435, 258.

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}.