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LCM of 443, 765, 104, 676, 389

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


Find the LCM of 443, 765, 104, 676, 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 443, 765, 104, 676, 389. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 443,765,104,676,389

Given numbers are 443,765,104,676,389

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

The LCM of 443,765,104,676,389 is 178234369560.

Find LCM of 443,765,104,676,389 with Prime Factorization


2 443, 765, 104, 676, 389
2 443, 765, 52, 338, 389
13 443, 765, 26, 169, 389
443, 765, 2, 13, 389

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

2 x 2 x 13 x 443 x 765 x 2 x 13 x 389 = 178234369560

Therefore, the lowest common multiple of 443,765,104,676,389 is 178234369560.

LCM Formula to Find Lowest Common Multiple of 443,765,104,676,389

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.

443 x 765 x 104 x 676 x 389 = 9268187217120

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.

443 : 1, 443

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

104 : 1, 2, 4, 8, 13, 26, 52, 104

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

389 : 1, 389

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 443,765,104,676,389, is 1.

Now, the common factors can be found like this.

443:443

765:3x 3x 5x 17

104:2x 2x 2x 13

676:2x 2x 13x 13

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.

2x 2x 13 = 52

Therefore, the value for common factors is 52.

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 = 9268187217120/(1x52)

LCM = 9268187217120/52

LCM = 178234369560

Thus, we can understand that the LCM of 443,765,104,676,389 is 178234369560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 443, 765, 104, 676, 389

1. What is the LCM of 443, 765, 104, 676, 389?

Answer: LCM of 443, 765, 104, 676, 389 is 178234369560.

2. How to calculate the LCM of 443, 765, 104, 676, 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 443, 765, 104, 676, 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}.