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LCM of 663, 672, 103, 938, 819

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


Find the LCM of 663, 672, 103, 938, 819 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 663, 672, 103, 938, 819. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 663,672,103,938,819

Given numbers are 663,672,103,938,819

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

The LCM of 663,672,103,938,819 is 3074643936.

Find LCM of 663,672,103,938,819 with Prime Factorization


2 663, 672, 103, 938, 819
3 663, 336, 103, 469, 819
7 221, 112, 103, 469, 273
13 221, 16, 103, 67, 39
17, 16, 103, 67, 3

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

2 x 3 x 7 x 13 x 17 x 16 x 103 x 67 x 3 = 3074643936

Therefore, the lowest common multiple of 663,672,103,938,819 is 3074643936.

LCM Formula to Find Lowest Common Multiple of 663,672,103,938,819

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.

663 x 672 x 103 x 938 x 819 = 35253867370176

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.

663 : 1, 3, 13, 17, 39, 51, 221, 663

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

103 : 1, 103

938 : 1, 2, 7, 14, 67, 134, 469, 938

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 663,672,103,938,819, is 1.

Now, the common factors can be found like this.

663:3x 13x 17

672:2x 2x 2x 2x 2x 3x 7

103:103

938:2x 7x 67

819:3x 3x 7x 13

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

2x 3x 3x 7x 7x 13 = 11466

Therefore, the value for common factors is 11466.

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 = 35253867370176/(1x11466)

LCM = 35253867370176/11466

LCM = 3074643936

Thus, we can understand that the LCM of 663,672,103,938,819 is 3074643936.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 663, 672, 103, 938, 819

1. What is the LCM of 663, 672, 103, 938, 819?

Answer: LCM of 663, 672, 103, 938, 819 is 3074643936.

2. How to calculate the LCM of 663, 672, 103, 938, 819?

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 663, 672, 103, 938, 819.

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}.