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LCM of 880, 272, 321, 743, 969

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


Find the LCM of 880, 272, 321, 743, 969 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 880, 272, 321, 743, 969. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 880,272,321,743,969

Given numbers are 880,272,321,743,969

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

The LCM of 880,272,321,743,969 is 67792092720.

Find LCM of 880,272,321,743,969 with Prime Factorization


2 880, 272, 321, 743, 969
2 440, 136, 321, 743, 969
2 220, 68, 321, 743, 969
2 110, 34, 321, 743, 969
3 55, 17, 321, 743, 969
17 55, 17, 107, 743, 323
55, 1, 107, 743, 19

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

2 x 2 x 2 x 2 x 3 x 17 x 55 x 1 x 107 x 743 x 19 = 67792092720

Therefore, the lowest common multiple of 880,272,321,743,969 is 67792092720.

LCM Formula to Find Lowest Common Multiple of 880,272,321,743,969

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.

880 x 272 x 321 x 743 x 969 = 55318347659520

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.

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

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

321 : 1, 3, 107, 321

743 : 1, 743

969 : 1, 3, 17, 19, 51, 57, 323, 969

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,272,321,743,969, is 1.

Now, the common factors can be found like this.

880:2x 2x 2x 2x 5x 11

272:2x 2x 2x 2x 17

321:3x 107

743:743

969:3x 17x 19

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

2x 2x 2x 2x 3x 17 = 816

Therefore, the value for common factors is 816.

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 = 55318347659520/(1x816)

LCM = 55318347659520/816

LCM = 67792092720

Thus, we can understand that the LCM of 880,272,321,743,969 is 67792092720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 880, 272, 321, 743, 969

1. What is the LCM of 880, 272, 321, 743, 969?

Answer: LCM of 880, 272, 321, 743, 969 is 67792092720.

2. How to calculate the LCM of 880, 272, 321, 743, 969?

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 880, 272, 321, 743, 969.

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}.