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LCM of 793, 887, 732, 671, 261

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


Find the LCM of 793, 887, 732, 671, 261 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 793, 887, 732, 671, 261. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 793,887,732,671,261

Given numbers are 793,887,732,671,261

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

The LCM of 793,887,732,671,261 is 8077742244.

Find LCM of 793,887,732,671,261 with Prime Factorization


3 793, 887, 732, 671, 261
61 793, 887, 244, 671, 87
13, 887, 4, 11, 87

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

3 x 61 x 13 x 887 x 4 x 11 x 87 = 8077742244

Therefore, the lowest common multiple of 793,887,732,671,261 is 8077742244.

LCM Formula to Find Lowest Common Multiple of 793,887,732,671,261

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.

793 x 887 x 732 x 671 x 261 = 90171836669772

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.

793 : 1, 13, 61, 793

887 : 1, 887

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

671 : 1, 11, 61, 671

261 : 1, 3, 9, 29, 87, 261

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,887,732,671,261, is 1.

Now, the common factors can be found like this.

793:13x 61

887:887

732:2x 2x 3x 61

671:11x 61

261:3x 3x 29

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

3x 61x 61 = 11163

Therefore, the value for common factors is 11163.

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 = 90171836669772/(1x11163)

LCM = 90171836669772/11163

LCM = 8077742244

Thus, we can understand that the LCM of 793,887,732,671,261 is 8077742244.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 793, 887, 732, 671, 261

1. What is the LCM of 793, 887, 732, 671, 261?

Answer: LCM of 793, 887, 732, 671, 261 is 8077742244.

2. How to calculate the LCM of 793, 887, 732, 671, 261?

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 793, 887, 732, 671, 261.

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}.