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LCM of 207, 165, 585, 962

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


Find the LCM of 207, 165, 585, 962 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 207, 165, 585, 962. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 207,165,585,962

Given numbers are 207,165,585,962

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

The LCM of 207,165,585,962 is 10952370.

Find LCM of 207,165,585,962 with Prime Factorization


3 207, 165, 585, 962
3 69, 55, 195, 962
5 23, 55, 65, 962
13 23, 11, 13, 962
23, 11, 1, 74

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

3 x 3 x 5 x 13 x 23 x 11 x 1 x 74 = 10952370

Therefore, the lowest common multiple of 207,165,585,962 is 10952370.

LCM Formula to Find Lowest Common Multiple of 207,165,585,962

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.

207 x 165 x 585 x 962 = 19221409350

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.

207 : 1, 3, 9, 23, 69, 207

165 : 1, 3, 5, 11, 15, 33, 55, 165

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

962 : 1, 2, 13, 26, 37, 74, 481, 962

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 207,165,585,962, is 1.

Now, the common factors can be found like this.

207:3x 3x 23

165:3x 5x 11

585:3x 3x 5x 13

962:2x 13x 37

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

3x 3x 3x 5x 13 = 1755

Therefore, the value for common factors is 1755.

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 = 19221409350/(1x1755)

LCM = 19221409350/1755

LCM = 10952370

Thus, we can understand that the LCM of 207,165,585,962 is 10952370.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 207, 165, 585, 962

1. What is the LCM of 207, 165, 585, 962?

Answer: LCM of 207, 165, 585, 962 is 10952370.

2. How to calculate the LCM of 207, 165, 585, 962?

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 207, 165, 585, 962.

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}.