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LCM of 589, 693, 380, 775

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


Find the LCM of 589, 693, 380, 775 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 589, 693, 380, 775. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 589,693,380,775

Given numbers are 589,693,380,775

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

The LCM of 589,693,380,775 is 40817700.

Find LCM of 589,693,380,775 with Prime Factorization


5 589, 693, 380, 775
19 589, 693, 76, 155
31 31, 693, 4, 155
1, 693, 4, 5

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

5 x 19 x 31 x 1 x 693 x 4 x 5 = 40817700

Therefore, the lowest common multiple of 589,693,380,775 is 40817700.

LCM Formula to Find Lowest Common Multiple of 589,693,380,775

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.

589 x 693 x 380 x 775 = 120208126500

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.

589 : 1, 19, 31, 589

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

775 : 1, 5, 25, 31, 155, 775

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,693,380,775, is 1.

Now, the common factors can be found like this.

589:19x 31

693:3x 3x 7x 11

380:2x 2x 5x 19

775:5x 5x 31

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

5x 19x 31 = 2945

Therefore, the value for common factors is 2945.

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 = 120208126500/(1x2945)

LCM = 120208126500/2945

LCM = 40817700

Thus, we can understand that the LCM of 589,693,380,775 is 40817700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 589, 693, 380, 775

1. What is the LCM of 589, 693, 380, 775?

Answer: LCM of 589, 693, 380, 775 is 40817700.

2. How to calculate the LCM of 589, 693, 380, 775?

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 589, 693, 380, 775.

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}.