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LCM of 709, 350, 389, 365

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


Find the LCM of 709, 350, 389, 365 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 709, 350, 389, 365. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 709,350,389,365

Given numbers are 709,350,389,365

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

The LCM of 709,350,389,365 is 7046715550.

Find LCM of 709,350,389,365 with Prime Factorization


5 709, 350, 389, 365
709, 70, 389, 73

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

5 x 709 x 70 x 389 x 73 = 7046715550

Therefore, the lowest common multiple of 709,350,389,365 is 7046715550.

LCM Formula to Find Lowest Common Multiple of 709,350,389,365

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.

709 x 350 x 389 x 365 = 35233577750

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.

709 : 1, 709

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

389 : 1, 389

365 : 1, 5, 73, 365

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,350,389,365, is 1.

Now, the common factors can be found like this.

709:709

350:2x 5x 5x 7

389:389

365:5x 73

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

5 = 5

Therefore, the value for common factors is 5.

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 = 35233577750/(1x5)

LCM = 35233577750/5

LCM = 7046715550

Thus, we can understand that the LCM of 709,350,389,365 is 7046715550.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 709, 350, 389, 365

1. What is the LCM of 709, 350, 389, 365?

Answer: LCM of 709, 350, 389, 365 is 7046715550.

2. How to calculate the LCM of 709, 350, 389, 365?

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 709, 350, 389, 365.

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}.