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LCM of 455, 361, 719, 719, 351

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


Find the LCM of 455, 361, 719, 719, 351 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 455, 361, 719, 719, 351. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 455,361,719,719,351

Given numbers are 455,361,719,719,351

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

The LCM of 455,361,719,719,351 is 3188682315.

Find LCM of 455,361,719,719,351 with Prime Factorization


13 455, 361, 719, 719, 351
719 35, 361, 719, 719, 27
35, 361, 1, 1, 27

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

13 x 719 x 35 x 361 x 1 x 1 x 27 = 3188682315

Therefore, the lowest common multiple of 455,361,719,719,351 is 3188682315.

LCM Formula to Find Lowest Common Multiple of 455,361,719,719,351

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.

455 x 361 x 719 x 719 x 351 = 29804613598305

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.

455 : 1, 5, 7, 13, 35, 65, 91, 455

361 : 1, 19, 361

719 : 1, 719

719 : 1, 719

351 : 1, 3, 9, 13, 27, 39, 117, 351

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 455,361,719,719,351, is 1.

Now, the common factors can be found like this.

455:5x 7x 13

361:19x 19

719:719

719:719

351:3x 3x 3x 13

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

13x 719 = 9347

Therefore, the value for common factors is 9347.

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 = 29804613598305/(1x9347)

LCM = 29804613598305/9347

LCM = 3188682315

Thus, we can understand that the LCM of 455,361,719,719,351 is 3188682315.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 455, 361, 719, 719, 351

1. What is the LCM of 455, 361, 719, 719, 351?

Answer: LCM of 455, 361, 719, 719, 351 is 3188682315.

2. How to calculate the LCM of 455, 361, 719, 719, 351?

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 455, 361, 719, 719, 351.

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}.