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LCM of 607, 195, 284, 923

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


Find the LCM of 607, 195, 284, 923 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 607, 195, 284, 923. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 607,195,284,923

Given numbers are 607,195,284,923

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

The LCM of 607,195,284,923 is 33615660.

Find LCM of 607,195,284,923 with Prime Factorization


13 607, 195, 284, 923
71 607, 15, 284, 71
607, 15, 4, 1

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

13 x 71 x 607 x 15 x 4 x 1 = 33615660

Therefore, the lowest common multiple of 607,195,284,923 is 33615660.

LCM Formula to Find Lowest Common Multiple of 607,195,284,923

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.

607 x 195 x 284 x 923 = 31027254180

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.

607 : 1, 607

195 : 1, 3, 5, 13, 15, 39, 65, 195

284 : 1, 2, 4, 71, 142, 284

923 : 1, 13, 71, 923

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 607,195,284,923, is 1.

Now, the common factors can be found like this.

607:607

195:3x 5x 13

284:2x 2x 71

923:13x 71

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

13x 71 = 923

Therefore, the value for common factors is 923.

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 = 31027254180/(1x923)

LCM = 31027254180/923

LCM = 33615660

Thus, we can understand that the LCM of 607,195,284,923 is 33615660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 607, 195, 284, 923

1. What is the LCM of 607, 195, 284, 923?

Answer: LCM of 607, 195, 284, 923 is 33615660.

2. How to calculate the LCM of 607, 195, 284, 923?

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 607, 195, 284, 923.

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}.