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LCM of 812, 410, 205, 888

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


Find the LCM of 812, 410, 205, 888 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 812, 410, 205, 888. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 812,410,205,888

Given numbers are 812,410,205,888

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

The LCM of 812,410,205,888 is 36954120.

Find LCM of 812,410,205,888 with Prime Factorization


2 812, 410, 205, 888
2 406, 205, 205, 444
5 203, 205, 205, 222
41 203, 41, 41, 222
203, 1, 1, 222

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

2 x 2 x 5 x 41 x 203 x 1 x 1 x 222 = 36954120

Therefore, the lowest common multiple of 812,410,205,888 is 36954120.

LCM Formula to Find Lowest Common Multiple of 812,410,205,888

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.

812 x 410 x 205 x 888 = 60604756800

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.

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

410 : 1, 2, 5, 10, 41, 82, 205, 410

205 : 1, 5, 41, 205

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,410,205,888, is 1.

Now, the common factors can be found like this.

812:2x 2x 7x 29

410:2x 5x 41

205:5x 41

888:2x 2x 2x 3x 37

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 41 = 1640

Therefore, the value for common factors is 1640.

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 = 60604756800/(1x1640)

LCM = 60604756800/1640

LCM = 36954120

Thus, we can understand that the LCM of 812,410,205,888 is 36954120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 812, 410, 205, 888

1. What is the LCM of 812, 410, 205, 888?

Answer: LCM of 812, 410, 205, 888 is 36954120.

2. How to calculate the LCM of 812, 410, 205, 888?

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 812, 410, 205, 888.

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}.