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LCM of 220, 511, 803, 389

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


Find the LCM of 220, 511, 803, 389 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 220, 511, 803, 389. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 220,511,803,389

Given numbers are 220,511,803,389

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

The LCM of 220,511,803,389 is 43731380.

Find LCM of 220,511,803,389 with Prime Factorization


11 220, 511, 803, 389
73 20, 511, 73, 389
20, 7, 1, 389

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

11 x 73 x 20 x 7 x 1 x 389 = 43731380

Therefore, the lowest common multiple of 220,511,803,389 is 43731380.

LCM Formula to Find Lowest Common Multiple of 220,511,803,389

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.

220 x 511 x 803 x 389 = 35116298140

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.

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

511 : 1, 7, 73, 511

803 : 1, 11, 73, 803

389 : 1, 389

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,511,803,389, is 1.

Now, the common factors can be found like this.

220:2x 2x 5x 11

511:7x 73

803:11x 73

389:389

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

11x 73 = 803

Therefore, the value for common factors is 803.

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 = 35116298140/(1x803)

LCM = 35116298140/803

LCM = 43731380

Thus, we can understand that the LCM of 220,511,803,389 is 43731380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 220, 511, 803, 389

1. What is the LCM of 220, 511, 803, 389?

Answer: LCM of 220, 511, 803, 389 is 43731380.

2. How to calculate the LCM of 220, 511, 803, 389?

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 220, 511, 803, 389.

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}.