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LCM of 289, 338, 526, 849

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


Find the LCM of 289, 338, 526, 849 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 289, 338, 526, 849. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 289,338,526,849

Given numbers are 289,338,526,849

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

The LCM of 289,338,526,849 is 21811120734.

Find LCM of 289,338,526,849 with Prime Factorization


2 289, 338, 526, 849
289, 169, 263, 849

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

2 x 289 x 169 x 263 x 849 = 21811120734

Therefore, the lowest common multiple of 289,338,526,849 is 21811120734.

LCM Formula to Find Lowest Common Multiple of 289,338,526,849

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.

289 x 338 x 526 x 849 = 43622241468

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.

289 : 1, 17, 289

338 : 1, 2, 13, 26, 169, 338

526 : 1, 2, 263, 526

849 : 1, 3, 283, 849

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,338,526,849, is 1.

Now, the common factors can be found like this.

289:17x 17

338:2x 13x 13

526:2x 263

849:3x 283

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

2 = 2

Therefore, the value for common factors is 2.

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 = 43622241468/(1x2)

LCM = 43622241468/2

LCM = 21811120734

Thus, we can understand that the LCM of 289,338,526,849 is 21811120734.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 289, 338, 526, 849

1. What is the LCM of 289, 338, 526, 849?

Answer: LCM of 289, 338, 526, 849 is 21811120734.

2. How to calculate the LCM of 289, 338, 526, 849?

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 289, 338, 526, 849.

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}.