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LCM of 321, 110, 884, 900

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


Find the LCM of 321, 110, 884, 900 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 321, 110, 884, 900. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 321,110,884,900

Given numbers are 321,110,884,900

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

The LCM of 321,110,884,900 is 234105300.

Find LCM of 321,110,884,900 with Prime Factorization


2 321, 110, 884, 900
2 321, 55, 442, 450
3 321, 55, 221, 225
5 107, 55, 221, 75
107, 11, 221, 15

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

2 x 2 x 3 x 5 x 107 x 11 x 221 x 15 = 234105300

Therefore, the lowest common multiple of 321,110,884,900 is 234105300.

LCM Formula to Find Lowest Common Multiple of 321,110,884,900

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.

321 x 110 x 884 x 900 = 28092636000

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.

321 : 1, 3, 107, 321

110 : 1, 2, 5, 10, 11, 22, 55, 110

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,110,884,900, is 1.

Now, the common factors can be found like this.

321:3x 107

110:2x 5x 11

884:2x 2x 13x 17

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

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 5 = 120

Therefore, the value for common factors is 120.

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 = 28092636000/(1x120)

LCM = 28092636000/120

LCM = 234105300

Thus, we can understand that the LCM of 321,110,884,900 is 234105300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 321, 110, 884, 900

1. What is the LCM of 321, 110, 884, 900?

Answer: LCM of 321, 110, 884, 900 is 234105300.

2. How to calculate the LCM of 321, 110, 884, 900?

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 321, 110, 884, 900.

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}.