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LCM of 301, 793, 170, 272, 377

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


Find the LCM of 301, 793, 170, 272, 377 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 301, 793, 170, 272, 377. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 301,793,170,272,377

Given numbers are 301,793,170,272,377

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

The LCM of 301,793,170,272,377 is 9414051920.

Find LCM of 301,793,170,272,377 with Prime Factorization


2 301, 793, 170, 272, 377
13 301, 793, 85, 136, 377
17 301, 61, 85, 136, 29
301, 61, 5, 8, 29

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

2 x 13 x 17 x 301 x 61 x 5 x 8 x 29 = 9414051920

Therefore, the lowest common multiple of 301,793,170,272,377 is 9414051920.

LCM Formula to Find Lowest Common Multiple of 301,793,170,272,377

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.

301 x 793 x 170 x 272 x 377 = 4161010948640

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.

301 : 1, 7, 43, 301

793 : 1, 13, 61, 793

170 : 1, 2, 5, 10, 17, 34, 85, 170

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,793,170,272,377, is 1.

Now, the common factors can be found like this.

301:7x 43

793:13x 61

170:2x 5x 17

272:2x 2x 2x 2x 17

377:13x 29

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

2x 13x 17 = 442

Therefore, the value for common factors is 442.

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 = 4161010948640/(1x442)

LCM = 4161010948640/442

LCM = 9414051920

Thus, we can understand that the LCM of 301,793,170,272,377 is 9414051920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 301, 793, 170, 272, 377

1. What is the LCM of 301, 793, 170, 272, 377?

Answer: LCM of 301, 793, 170, 272, 377 is 9414051920.

2. How to calculate the LCM of 301, 793, 170, 272, 377?

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 301, 793, 170, 272, 377.

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}.