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LCM of 192, 789, 326, 815

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


Find the LCM of 192, 789, 326, 815 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 192, 789, 326, 815. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 192,789,326,815

Given numbers are 192,789,326,815

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

The LCM of 192,789,326,815 is 41154240.

Find LCM of 192,789,326,815 with Prime Factorization


2 192, 789, 326, 815
3 96, 789, 163, 815
163 32, 263, 163, 815
32, 263, 1, 5

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

2 x 3 x 163 x 32 x 263 x 1 x 5 = 41154240

Therefore, the lowest common multiple of 192,789,326,815 is 41154240.

LCM Formula to Find Lowest Common Multiple of 192,789,326,815

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.

192 x 789 x 326 x 815 = 40248846720

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.

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

789 : 1, 3, 263, 789

326 : 1, 2, 163, 326

815 : 1, 5, 163, 815

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,789,326,815, is 1.

Now, the common factors can be found like this.

192:2x 2x 2x 2x 2x 2x 3

789:3x 263

326:2x 163

815:5x 163

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

2x 3x 163 = 978

Therefore, the value for common factors is 978.

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 = 40248846720/(1x978)

LCM = 40248846720/978

LCM = 41154240

Thus, we can understand that the LCM of 192,789,326,815 is 41154240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 192, 789, 326, 815

1. What is the LCM of 192, 789, 326, 815?

Answer: LCM of 192, 789, 326, 815 is 41154240.

2. How to calculate the LCM of 192, 789, 326, 815?

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 192, 789, 326, 815.

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}.