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LCM of 827, 194, 272

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


Find the LCM of 827, 194, 272 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 827, 194, 272. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 827,194,272

Given numbers are 827,194,272

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

The LCM of 827,194,272 is 21819568.

Find LCM of 827,194,272 with Prime Factorization


2 827, 194, 272
827, 97, 136

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

2 x 827 x 97 x 136 = 21819568

Therefore, the lowest common multiple of 827,194,272 is 21819568.

LCM Formula to Find Lowest Common Multiple of 827,194,272

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.

827 x 194 x 272 = 43639136

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.

827 : 1, 827

194 : 1, 2, 97, 194

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,194,272, is 1.

Now, the common factors can be found like this.

827:827

194:2x 97

272:2x 2x 2x 2x 17

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 = 43639136/(1x2)

LCM = 43639136/2

LCM = 21819568

Thus, we can understand that the LCM of 827,194,272 is 21819568.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 827, 194, 272

1. What is the LCM of 827, 194, 272?

Answer: LCM of 827, 194, 272 is 21819568.

2. How to calculate the LCM of 827, 194, 272?

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 827, 194, 272.

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}.