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LCM of 884, 900, 990, 257, 983

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


Find the LCM of 884, 900, 990, 257, 983 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 884, 900, 990, 257, 983. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 884,900,990,257,983

Given numbers are 884,900,990,257,983

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

The LCM of 884,900,990,257,983 is 552731364900.

Find LCM of 884,900,990,257,983 with Prime Factorization


2 884, 900, 990, 257, 983
2 442, 450, 495, 257, 983
3 221, 225, 495, 257, 983
3 221, 75, 165, 257, 983
5 221, 25, 55, 257, 983
221, 5, 11, 257, 983

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

2 x 2 x 3 x 3 x 5 x 221 x 5 x 11 x 257 x 983 = 552731364900

Therefore, the lowest common multiple of 884,900,990,257,983 is 552731364900.

LCM Formula to Find Lowest Common Multiple of 884,900,990,257,983

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.

884 x 900 x 990 x 257 x 983 = 198983291364000

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.

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

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

257 : 1, 257

983 : 1, 983

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,900,990,257,983, is 1.

Now, the common factors can be found like this.

884:2x 2x 13x 17

900:2x 2x 3x 3x 5x 5

990:2x 3x 3x 5x 11

257:257

983:983

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 3x 3x 5 = 360

Therefore, the value for common factors is 360.

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 = 198983291364000/(1x360)

LCM = 198983291364000/360

LCM = 552731364900

Thus, we can understand that the LCM of 884,900,990,257,983 is 552731364900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 884, 900, 990, 257, 983

1. What is the LCM of 884, 900, 990, 257, 983?

Answer: LCM of 884, 900, 990, 257, 983 is 552731364900.

2. How to calculate the LCM of 884, 900, 990, 257, 983?

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 884, 900, 990, 257, 983.

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}.