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LCM of 827, 990, 788, 880

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


Find the LCM of 827, 990, 788, 880 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 827, 990, 788, 880. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 827,990,788,880

Given numbers are 827,990,788,880

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

The LCM of 827,990,788,880 is 1290318480.

Find LCM of 827,990,788,880 with Prime Factorization


2 827, 990, 788, 880
2 827, 495, 394, 440
5 827, 495, 197, 220
11 827, 99, 197, 44
827, 9, 197, 4

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

2 x 2 x 5 x 11 x 827 x 9 x 197 x 4 = 1290318480

Therefore, the lowest common multiple of 827,990,788,880 is 1290318480.

LCM Formula to Find Lowest Common Multiple of 827,990,788,880

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.

827 x 990 x 788 x 880 = 567740131200

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.

827 : 1, 827

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

788 : 1, 2, 4, 197, 394, 788

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,990,788,880, is 1.

Now, the common factors can be found like this.

827:827

990:2x 3x 3x 5x 11

788:2x 2x 197

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

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 5x 11 = 440

Therefore, the value for common factors is 440.

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 = 567740131200/(1x440)

LCM = 567740131200/440

LCM = 1290318480

Thus, we can understand that the LCM of 827,990,788,880 is 1290318480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 827, 990, 788, 880

1. What is the LCM of 827, 990, 788, 880?

Answer: LCM of 827, 990, 788, 880 is 1290318480.

2. How to calculate the LCM of 827, 990, 788, 880?

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 827, 990, 788, 880.

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}.