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LCM of 309, 696, 869, 825

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


Find the LCM of 309, 696, 869, 825 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 309, 696, 869, 825. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 309,696,869,825

Given numbers are 309,696,869,825

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

The LCM of 309,696,869,825 is 1557421800.

Find LCM of 309,696,869,825 with Prime Factorization


3 309, 696, 869, 825
11 103, 232, 869, 275
103, 232, 79, 25

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

3 x 11 x 103 x 232 x 79 x 25 = 1557421800

Therefore, the lowest common multiple of 309,696,869,825 is 1557421800.

LCM Formula to Find Lowest Common Multiple of 309,696,869,825

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.

309 x 696 x 869 x 825 = 154184758200

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.

309 : 1, 3, 103, 309

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

869 : 1, 11, 79, 869

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,696,869,825, is 1.

Now, the common factors can be found like this.

309:3x 103

696:2x 2x 2x 3x 29

869:11x 79

825:3x 5x 5x 11

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 11 = 99

Therefore, the value for common factors is 99.

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 = 154184758200/(1x99)

LCM = 154184758200/99

LCM = 1557421800

Thus, we can understand that the LCM of 309,696,869,825 is 1557421800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 309, 696, 869, 825

1. What is the LCM of 309, 696, 869, 825?

Answer: LCM of 309, 696, 869, 825 is 1557421800.

2. How to calculate the LCM of 309, 696, 869, 825?

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 309, 696, 869, 825.

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}.