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LCM of 927, 645, 448, 130, 969

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


Find the LCM of 927, 645, 448, 130, 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 927, 645, 448, 130, 969. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 927,645,448,130,969

Given numbers are 927,645,448,130,969

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

The LCM of 927,645,448,130,969 is 374922999360.

Find LCM of 927,645,448,130,969 with Prime Factorization


2 927, 645, 448, 130, 969
3 927, 645, 224, 65, 969
5 309, 215, 224, 65, 323
309, 43, 224, 13, 323

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

2 x 3 x 5 x 309 x 43 x 224 x 13 x 323 = 374922999360

Therefore, the lowest common multiple of 927,645,448,130,969 is 374922999360.

LCM Formula to Find Lowest Common Multiple of 927,645,448,130,969

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.

927 x 645 x 448 x 130 x 969 = 33743069942400

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.

927 : 1, 3, 9, 103, 309, 927

645 : 1, 3, 5, 15, 43, 129, 215, 645

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

130 : 1, 2, 5, 10, 13, 26, 65, 130

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 927,645,448,130,969, is 1.

Now, the common factors can be found like this.

927:3x 3x 103

645:3x 5x 43

448:2x 2x 2x 2x 2x 2x 7

130:2x 5x 13

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 3x 3x 5 = 90

Therefore, the value for common factors is 90.

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 = 33743069942400/(1x90)

LCM = 33743069942400/90

LCM = 374922999360

Thus, we can understand that the LCM of 927,645,448,130,969 is 374922999360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 927, 645, 448, 130, 969

1. What is the LCM of 927, 645, 448, 130, 969?

Answer: LCM of 927, 645, 448, 130, 969 is 374922999360.

2. How to calculate the LCM of 927, 645, 448, 130, 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 927, 645, 448, 130, 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}.