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LCM of 303, 674, 909, 243

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


Find the LCM of 303, 674, 909, 243 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 303, 674, 909, 243. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 303,674,909,243

Given numbers are 303,674,909,243

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

The LCM of 303,674,909,243 is 16541982.

Find LCM of 303,674,909,243 with Prime Factorization


3 303, 674, 909, 243
3 101, 674, 303, 81
101 101, 674, 101, 27
1, 674, 1, 27

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

3 x 3 x 101 x 1 x 674 x 1 x 27 = 16541982

Therefore, the lowest common multiple of 303,674,909,243 is 16541982.

LCM Formula to Find Lowest Common Multiple of 303,674,909,243

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.

303 x 674 x 909 x 243 = 45109984914

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.

303 : 1, 3, 101, 303

674 : 1, 2, 337, 674

909 : 1, 3, 9, 101, 303, 909

243 : 1, 3, 9, 27, 81, 243

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,674,909,243, is 1.

Now, the common factors can be found like this.

303:3x 101

674:2x 337

909:3x 3x 101

243:3x 3x 3x 3x 3

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 3x 101 = 2727

Therefore, the value for common factors is 2727.

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 = 45109984914/(1x2727)

LCM = 45109984914/2727

LCM = 16541982

Thus, we can understand that the LCM of 303,674,909,243 is 16541982.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 303, 674, 909, 243

1. What is the LCM of 303, 674, 909, 243?

Answer: LCM of 303, 674, 909, 243 is 16541982.

2. How to calculate the LCM of 303, 674, 909, 243?

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 303, 674, 909, 243.

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}.