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LCM of 189, 303, 882, 311

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


Find the LCM of 189, 303, 882, 311 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 189, 303, 882, 311. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 189,303,882,311

Given numbers are 189,303,882,311

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

The LCM of 189,303,882,311 is 83113506.

Find LCM of 189,303,882,311 with Prime Factorization


3 189, 303, 882, 311
3 63, 101, 294, 311
7 21, 101, 98, 311
3, 101, 14, 311

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

3 x 3 x 7 x 3 x 101 x 14 x 311 = 83113506

Therefore, the lowest common multiple of 189,303,882,311 is 83113506.

LCM Formula to Find Lowest Common Multiple of 189,303,882,311

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.

189 x 303 x 882 x 311 = 15708452634

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.

189 : 1, 3, 7, 9, 21, 27, 63, 189

303 : 1, 3, 101, 303

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

311 : 1, 311

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,303,882,311, is 1.

Now, the common factors can be found like this.

189:3x 3x 3x 7

303:3x 101

882:2x 3x 3x 7x 7

311:311

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 7 = 189

Therefore, the value for common factors is 189.

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 = 15708452634/(1x189)

LCM = 15708452634/189

LCM = 83113506

Thus, we can understand that the LCM of 189,303,882,311 is 83113506.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 189, 303, 882, 311

1. What is the LCM of 189, 303, 882, 311?

Answer: LCM of 189, 303, 882, 311 is 83113506.

2. How to calculate the LCM of 189, 303, 882, 311?

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 189, 303, 882, 311.

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}.