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LCM of 816, 405, 187, 325

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


Find the LCM of 816, 405, 187, 325 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 816, 405, 187, 325. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 816,405,187,325

Given numbers are 816,405,187,325

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

The LCM of 816,405,187,325 is 78764400.

Find LCM of 816,405,187,325 with Prime Factorization


3 816, 405, 187, 325
5 272, 135, 187, 325
17 272, 27, 187, 65
16, 27, 11, 65

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

3 x 5 x 17 x 16 x 27 x 11 x 65 = 78764400

Therefore, the lowest common multiple of 816,405,187,325 is 78764400.

LCM Formula to Find Lowest Common Multiple of 816,405,187,325

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.

816 x 405 x 187 x 325 = 20084922000

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.

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

187 : 1, 11, 17, 187

325 : 1, 5, 13, 25, 65, 325

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,405,187,325, is 1.

Now, the common factors can be found like this.

816:2x 2x 2x 2x 3x 17

405:3x 3x 3x 3x 5

187:11x 17

325:5x 5x 13

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

3x 5x 17 = 255

Therefore, the value for common factors is 255.

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 = 20084922000/(1x255)

LCM = 20084922000/255

LCM = 78764400

Thus, we can understand that the LCM of 816,405,187,325 is 78764400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 816, 405, 187, 325

1. What is the LCM of 816, 405, 187, 325?

Answer: LCM of 816, 405, 187, 325 is 78764400.

2. How to calculate the LCM of 816, 405, 187, 325?

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 816, 405, 187, 325.

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}.