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LCM of 481, 447, 333, 718

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


Find the LCM of 481, 447, 333, 718 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, 447, 333, 718. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 481,447,333,718

Given numbers are 481,447,333,718

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

The LCM of 481,447,333,718 is 463125078.

Find LCM of 481,447,333,718 with Prime Factorization


3 481, 447, 333, 718
37 481, 149, 111, 718
13, 149, 3, 718

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

3 x 37 x 13 x 149 x 3 x 718 = 463125078

Therefore, the lowest common multiple of 481,447,333,718 is 463125078.

LCM Formula to Find Lowest Common Multiple of 481,447,333,718

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 447 x 333 x 718 = 51406883658

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

447 : 1, 3, 149, 447

333 : 1, 3, 9, 37, 111, 333

718 : 1, 2, 359, 718

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,447,333,718, is 1.

Now, the common factors can be found like this.

481:13x 37

447:3x 149

333:3x 3x 37

718:2x 359

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

3x 37 = 111

Therefore, the value for common factors is 111.

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 = 51406883658/(1x111)

LCM = 51406883658/111

LCM = 463125078

Thus, we can understand that the LCM of 481,447,333,718 is 463125078.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 481, 447, 333, 718

1. What is the LCM of 481, 447, 333, 718?

Answer: LCM of 481, 447, 333, 718 is 463125078.

2. How to calculate the LCM of 481, 447, 333, 718?

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, 447, 333, 718.

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}.