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LCM of 7, 273, 793, 884

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


Find the LCM of 7, 273, 793, 884 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 7, 273, 793, 884. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7,273,793,884

Given numbers are 7,273,793,884

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

The LCM of 7,273,793,884 is 1132404.

Find LCM of 7,273,793,884 with Prime Factorization


7 7, 273, 793, 884
13 1, 39, 793, 884
1, 3, 61, 68

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

7 x 13 x 1 x 3 x 61 x 68 = 1132404

Therefore, the lowest common multiple of 7,273,793,884 is 1132404.

LCM Formula to Find Lowest Common Multiple of 7,273,793,884

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.

7 x 273 x 793 x 884 = 1339633932

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.

7 : 1, 7

273 : 1, 3, 7, 13, 21, 39, 91, 273

793 : 1, 13, 61, 793

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7,273,793,884, is 1.

Now, the common factors can be found like this.

7:7

273:3x 7x 13

793:13x 61

884:2x 2x 13x 17

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

7x 13x 13 = 1183

Therefore, the value for common factors is 1183.

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 = 1339633932/(1x1183)

LCM = 1339633932/1183

LCM = 1132404

Thus, we can understand that the LCM of 7,273,793,884 is 1132404.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 7, 273, 793, 884

1. What is the LCM of 7, 273, 793, 884?

Answer: LCM of 7, 273, 793, 884 is 1132404.

2. How to calculate the LCM of 7, 273, 793, 884?

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 7, 273, 793, 884.

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}.