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LCM of 265, 338, 390, 729

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


Find the LCM of 265, 338, 390, 729 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 265, 338, 390, 729. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 265,338,390,729

Given numbers are 265,338,390,729

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

The LCM of 265,338,390,729 is 65296530.

Find LCM of 265,338,390,729 with Prime Factorization


2 265, 338, 390, 729
3 265, 169, 195, 729
5 265, 169, 65, 243
13 53, 169, 13, 243
53, 1, 13, 243

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

2 x 3 x 5 x 13 x 53 x 1 x 13 x 243 = 65296530

Therefore, the lowest common multiple of 265,338,390,729 is 65296530.

LCM Formula to Find Lowest Common Multiple of 265,338,390,729

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.

265 x 338 x 390 x 729 = 25465646700

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.

265 : 1, 5, 53, 265

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

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

729 : 1, 3, 9, 27, 81, 243, 729

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 265,338,390,729, is 1.

Now, the common factors can be found like this.

265:5x 53

338:2x 13x 13

390:2x 3x 5x 13

729:3x 3x 3x 3x 3x 3

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

2x 3x 5x 13 = 390

Therefore, the value for common factors is 390.

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 = 25465646700/(1x390)

LCM = 25465646700/390

LCM = 65296530

Thus, we can understand that the LCM of 265,338,390,729 is 65296530.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 265, 338, 390, 729

1. What is the LCM of 265, 338, 390, 729?

Answer: LCM of 265, 338, 390, 729 is 65296530.

2. How to calculate the LCM of 265, 338, 390, 729?

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 265, 338, 390, 729.

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}.