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LCM of 679, 389, 389, 135

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


Find the LCM of 679, 389, 389, 135 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 679, 389, 389, 135. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 679,389,389,135

Given numbers are 679,389,389,135

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

The LCM of 679,389,389,135 is 35657685.

Find LCM of 679,389,389,135 with Prime Factorization


389 679, 389, 389, 135
679, 1, 1, 135

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

389 x 679 x 1 x 1 x 135 = 35657685

Therefore, the lowest common multiple of 679,389,389,135 is 35657685.

LCM Formula to Find Lowest Common Multiple of 679,389,389,135

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.

679 x 389 x 389 x 135 = 13870839465

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.

679 : 1, 7, 97, 679

389 : 1, 389

389 : 1, 389

135 : 1, 3, 5, 9, 15, 27, 45, 135

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 679,389,389,135, is 1.

Now, the common factors can be found like this.

679:7x 97

389:389

389:389

135:3x 3x 3x 5

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

389 = 389

Therefore, the value for common factors is 389.

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 = 13870839465/(1x389)

LCM = 13870839465/389

LCM = 35657685

Thus, we can understand that the LCM of 679,389,389,135 is 35657685.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 679, 389, 389, 135

1. What is the LCM of 679, 389, 389, 135?

Answer: LCM of 679, 389, 389, 135 is 35657685.

2. How to calculate the LCM of 679, 389, 389, 135?

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 679, 389, 389, 135.

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}.