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LCM of 321, 116, 784, 810

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


Find the LCM of 321, 116, 784, 810 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 321, 116, 784, 810. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 321,116,784,810

Given numbers are 321,116,784,810

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

The LCM of 321,116,784,810 is 985264560.

Find LCM of 321,116,784,810 with Prime Factorization


2 321, 116, 784, 810
2 321, 58, 392, 405
3 321, 29, 196, 405
107, 29, 196, 135

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

2 x 2 x 3 x 107 x 29 x 196 x 135 = 985264560

Therefore, the lowest common multiple of 321,116,784,810 is 985264560.

LCM Formula to Find Lowest Common Multiple of 321,116,784,810

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.

321 x 116 x 784 x 810 = 23646349440

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.

321 : 1, 3, 107, 321

116 : 1, 2, 4, 29, 58, 116

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,116,784,810, is 1.

Now, the common factors can be found like this.

321:3x 107

116:2x 2x 29

784:2x 2x 2x 2x 7x 7

810:2x 3x 3x 3x 3x 5

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

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 23646349440/(1x24)

LCM = 23646349440/24

LCM = 985264560

Thus, we can understand that the LCM of 321,116,784,810 is 985264560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 321, 116, 784, 810

1. What is the LCM of 321, 116, 784, 810?

Answer: LCM of 321, 116, 784, 810 is 985264560.

2. How to calculate the LCM of 321, 116, 784, 810?

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 321, 116, 784, 810.

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}.