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LCM of 265, 369, 323, 475, 801

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


Find the LCM of 265, 369, 323, 475, 801 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, 369, 323, 475, 801. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 265,369,323,475,801

Given numbers are 265,369,323,475,801

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

The LCM of 265,369,323,475,801 is 14055126975.

Find LCM of 265,369,323,475,801 with Prime Factorization


3 265, 369, 323, 475, 801
3 265, 123, 323, 475, 267
5 265, 41, 323, 475, 89
19 53, 41, 323, 95, 89
53, 41, 17, 5, 89

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

3 x 3 x 5 x 19 x 53 x 41 x 17 x 5 x 89 = 14055126975

Therefore, the lowest common multiple of 265,369,323,475,801 is 14055126975.

LCM Formula to Find Lowest Common Multiple of 265,369,323,475,801

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 369 x 323 x 475 x 801 = 12017133563625

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

369 : 1, 3, 9, 41, 123, 369

323 : 1, 17, 19, 323

475 : 1, 5, 19, 25, 95, 475

801 : 1, 3, 9, 89, 267, 801

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 265,369,323,475,801, is 1.

Now, the common factors can be found like this.

265:5x 53

369:3x 3x 41

323:17x 19

475:5x 5x 19

801:3x 3x 89

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 5x 19 = 855

Therefore, the value for common factors is 855.

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 = 12017133563625/(1x855)

LCM = 12017133563625/855

LCM = 14055126975

Thus, we can understand that the LCM of 265,369,323,475,801 is 14055126975.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 265, 369, 323, 475, 801

1. What is the LCM of 265, 369, 323, 475, 801?

Answer: LCM of 265, 369, 323, 475, 801 is 14055126975.

2. How to calculate the LCM of 265, 369, 323, 475, 801?

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, 369, 323, 475, 801.

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}.