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LCM of 463, 810, 284

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


Find the LCM of 463, 810, 284 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 463, 810, 284. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 463,810,284

Given numbers are 463,810,284

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

The LCM of 463,810,284 is 53254260.

Find LCM of 463,810,284 with Prime Factorization


2 463, 810, 284
463, 405, 142

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

2 x 463 x 405 x 142 = 53254260

Therefore, the lowest common multiple of 463,810,284 is 53254260.

LCM Formula to Find Lowest Common Multiple of 463,810,284

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.

463 x 810 x 284 = 106508520

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.

463 : 1, 463

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

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,810,284, is 1.

Now, the common factors can be found like this.

463:463

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

284:2x 2x 71

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

2 = 2

Therefore, the value for common factors is 2.

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 = 106508520/(1x2)

LCM = 106508520/2

LCM = 53254260

Thus, we can understand that the LCM of 463,810,284 is 53254260.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 463, 810, 284

1. What is the LCM of 463, 810, 284?

Answer: LCM of 463, 810, 284 is 53254260.

2. How to calculate the LCM of 463, 810, 284?

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 463, 810, 284.

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}.