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LCM of 622, 864, 527, 800, 969

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


Find the LCM of 622, 864, 527, 800, 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 622, 864, 527, 800, 969. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 622,864,527,800,969

Given numbers are 622,864,527,800,969

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

The LCM of 622,864,527,800,969 is 67263328800.

Find LCM of 622,864,527,800,969 with Prime Factorization


2 622, 864, 527, 800, 969
2 311, 432, 527, 400, 969
2 311, 216, 527, 200, 969
2 311, 108, 527, 100, 969
2 311, 54, 527, 50, 969
3 311, 27, 527, 25, 969
17 311, 9, 527, 25, 323
311, 9, 31, 25, 19

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

2 x 2 x 2 x 2 x 2 x 3 x 17 x 311 x 9 x 31 x 25 x 19 = 67263328800

Therefore, the lowest common multiple of 622,864,527,800,969 is 67263328800.

LCM Formula to Find Lowest Common Multiple of 622,864,527,800,969

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.

622 x 864 x 527 x 800 x 969 = 219547505203200

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.

622 : 1, 2, 311, 622

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

527 : 1, 17, 31, 527

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

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 622,864,527,800,969, is 1.

Now, the common factors can be found like this.

622:2x 311

864:2x 2x 2x 2x 2x 3x 3x 3

527:17x 31

800:2x 2x 2x 2x 2x 5x 5

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 2x 2x 3x 17 = 3264

Therefore, the value for common factors is 3264.

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 = 219547505203200/(1x3264)

LCM = 219547505203200/3264

LCM = 67263328800

Thus, we can understand that the LCM of 622,864,527,800,969 is 67263328800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 622, 864, 527, 800, 969

1. What is the LCM of 622, 864, 527, 800, 969?

Answer: LCM of 622, 864, 527, 800, 969 is 67263328800.

2. How to calculate the LCM of 622, 864, 527, 800, 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 622, 864, 527, 800, 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}.