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LCM of 311, 642, 543, 964, 455

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


Find the LCM of 311, 642, 543, 964, 455 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 311, 642, 543, 964, 455. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 311,642,543,964,455

Given numbers are 311,642,543,964,455

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

The LCM of 311,642,543,964,455 is 7925605052820.

Find LCM of 311,642,543,964,455 with Prime Factorization


2 311, 642, 543, 964, 455
3 311, 321, 543, 482, 455
311, 107, 181, 482, 455

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

2 x 3 x 311 x 107 x 181 x 482 x 455 = 7925605052820

Therefore, the lowest common multiple of 311,642,543,964,455 is 7925605052820.

LCM Formula to Find Lowest Common Multiple of 311,642,543,964,455

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.

311 x 642 x 543 x 964 x 455 = 47553630316920

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.

311 : 1, 311

642 : 1, 2, 3, 6, 107, 214, 321, 642

543 : 1, 3, 181, 543

964 : 1, 2, 4, 241, 482, 964

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,642,543,964,455, is 1.

Now, the common factors can be found like this.

311:311

642:2x 3x 107

543:3x 181

964:2x 2x 241

455:5x 7x 13

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 47553630316920/(1x6)

LCM = 47553630316920/6

LCM = 7925605052820

Thus, we can understand that the LCM of 311,642,543,964,455 is 7925605052820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 311, 642, 543, 964, 455

1. What is the LCM of 311, 642, 543, 964, 455?

Answer: LCM of 311, 642, 543, 964, 455 is 7925605052820.

2. How to calculate the LCM of 311, 642, 543, 964, 455?

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 311, 642, 543, 964, 455.

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}.