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LCM of 455, 306, 143, 143, 871

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


Find the LCM of 455, 306, 143, 143, 871 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, 306, 143, 143, 871. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 455,306,143,143,871

Given numbers are 455,306,143,143,871

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

The LCM of 455,306,143,143,871 is 102612510.

Find LCM of 455,306,143,143,871 with Prime Factorization


11 455, 306, 143, 143, 871
13 455, 306, 13, 13, 871
35, 306, 1, 1, 67

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

11 x 13 x 35 x 306 x 1 x 1 x 67 = 102612510

Therefore, the lowest common multiple of 455,306,143,143,871 is 102612510.

LCM Formula to Find Lowest Common Multiple of 455,306,143,143,871

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 306 x 143 x 143 x 871 = 2479836529170

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

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

143 : 1, 11, 13, 143

143 : 1, 11, 13, 143

871 : 1, 13, 67, 871

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 455,306,143,143,871, is 1.

Now, the common factors can be found like this.

455:5x 7x 13

306:2x 3x 3x 17

143:11x 13

143:11x 13

871:13x 67

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

11x 13x 13x 13 = 24167

Therefore, the value for common factors is 24167.

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 = 2479836529170/(1x24167)

LCM = 2479836529170/24167

LCM = 102612510

Thus, we can understand that the LCM of 455,306,143,143,871 is 102612510.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 455, 306, 143, 143, 871

1. What is the LCM of 455, 306, 143, 143, 871?

Answer: LCM of 455, 306, 143, 143, 871 is 102612510.

2. How to calculate the LCM of 455, 306, 143, 143, 871?

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, 306, 143, 143, 871.

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}.