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LCM of 816, 337, 247, 519, 673

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


Find the LCM of 816, 337, 247, 519, 673 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, 337, 247, 519, 673. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 816,337,247,519,673

Given numbers are 816,337,247,519,673

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

The LCM of 816,337,247,519,673 is 7908209761296.

Find LCM of 816,337,247,519,673 with Prime Factorization


3 816, 337, 247, 519, 673
272, 337, 247, 173, 673

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

3 x 272 x 337 x 247 x 173 x 673 = 7908209761296

Therefore, the lowest common multiple of 816,337,247,519,673 is 7908209761296.

LCM Formula to Find Lowest Common Multiple of 816,337,247,519,673

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 337 x 247 x 519 x 673 = 23724629283888

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

337 : 1, 337

247 : 1, 13, 19, 247

519 : 1, 3, 173, 519

673 : 1, 673

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,337,247,519,673, is 1.

Now, the common factors can be found like this.

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

337:337

247:13x 19

519:3x 173

673:673

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

3 = 3

Therefore, the value for common factors is 3.

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 = 23724629283888/(1x3)

LCM = 23724629283888/3

LCM = 7908209761296

Thus, we can understand that the LCM of 816,337,247,519,673 is 7908209761296.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 816, 337, 247, 519, 673

1. What is the LCM of 816, 337, 247, 519, 673?

Answer: LCM of 816, 337, 247, 519, 673 is 7908209761296.

2. How to calculate the LCM of 816, 337, 247, 519, 673?

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, 337, 247, 519, 673.

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}.