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LCM of 309, 526, 513, 289

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


Find the LCM of 309, 526, 513, 289 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, 526, 513, 289. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 309,526,513,289

Given numbers are 309,526,513,289

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

The LCM of 309,526,513,289 is 8032267746.

Find LCM of 309,526,513,289 with Prime Factorization


3 309, 526, 513, 289
103, 526, 171, 289

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

3 x 103 x 526 x 171 x 289 = 8032267746

Therefore, the lowest common multiple of 309,526,513,289 is 8032267746.

LCM Formula to Find Lowest Common Multiple of 309,526,513,289

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 526 x 513 x 289 = 24096803238

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

526 : 1, 2, 263, 526

513 : 1, 3, 9, 19, 27, 57, 171, 513

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,526,513,289, is 1.

Now, the common factors can be found like this.

309:3x 103

526:2x 263

513:3x 3x 3x 19

289:17x 17

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

3 = 3

Therefore, the value for common factors is 3.

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 = 24096803238/(1x3)

LCM = 24096803238/3

LCM = 8032267746

Thus, we can understand that the LCM of 309,526,513,289 is 8032267746.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 309, 526, 513, 289

1. What is the LCM of 309, 526, 513, 289?

Answer: LCM of 309, 526, 513, 289 is 8032267746.

2. How to calculate the LCM of 309, 526, 513, 289?

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, 526, 513, 289.

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}.