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LCM of 220, 589, 385, 361

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


Find the LCM of 220, 589, 385, 361 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, 589, 385, 361. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 220,589,385,361

Given numbers are 220,589,385,361

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

The LCM of 220,589,385,361 is 17234140.

Find LCM of 220,589,385,361 with Prime Factorization


5 220, 589, 385, 361
11 44, 589, 77, 361
19 4, 589, 7, 361
4, 31, 7, 19

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

5 x 11 x 19 x 4 x 31 x 7 x 19 = 17234140

Therefore, the lowest common multiple of 220,589,385,361 is 17234140.

LCM Formula to Find Lowest Common Multiple of 220,589,385,361

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 589 x 385 x 361 = 18009676300

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

589 : 1, 19, 31, 589

385 : 1, 5, 7, 11, 35, 55, 77, 385

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,589,385,361, is 1.

Now, the common factors can be found like this.

220:2x 2x 5x 11

589:19x 31

385:5x 7x 11

361:19x 19

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

5x 11x 19 = 1045

Therefore, the value for common factors is 1045.

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 = 18009676300/(1x1045)

LCM = 18009676300/1045

LCM = 17234140

Thus, we can understand that the LCM of 220,589,385,361 is 17234140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 220, 589, 385, 361

1. What is the LCM of 220, 589, 385, 361?

Answer: LCM of 220, 589, 385, 361 is 17234140.

2. How to calculate the LCM of 220, 589, 385, 361?

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, 589, 385, 361.

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}.