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LCM of 885, 195, 312, 554

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


Find the LCM of 885, 195, 312, 554 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 885, 195, 312, 554. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 885,195,312,554

Given numbers are 885,195,312,554

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

The LCM of 885,195,312,554 is 25495080.

Find LCM of 885,195,312,554 with Prime Factorization


2 885, 195, 312, 554
3 885, 195, 156, 277
5 295, 65, 52, 277
13 59, 13, 52, 277
59, 1, 4, 277

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

2 x 3 x 5 x 13 x 59 x 1 x 4 x 277 = 25495080

Therefore, the lowest common multiple of 885,195,312,554 is 25495080.

LCM Formula to Find Lowest Common Multiple of 885,195,312,554

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.

885 x 195 x 312 x 554 = 29829243600

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.

885 : 1, 3, 5, 15, 59, 177, 295, 885

195 : 1, 3, 5, 13, 15, 39, 65, 195

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

554 : 1, 2, 277, 554

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 885,195,312,554, is 1.

Now, the common factors can be found like this.

885:3x 5x 59

195:3x 5x 13

312:2x 2x 2x 3x 13

554:2x 277

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 5x 13 = 1170

Therefore, the value for common factors is 1170.

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 = 29829243600/(1x1170)

LCM = 29829243600/1170

LCM = 25495080

Thus, we can understand that the LCM of 885,195,312,554 is 25495080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 885, 195, 312, 554

1. What is the LCM of 885, 195, 312, 554?

Answer: LCM of 885, 195, 312, 554 is 25495080.

2. How to calculate the LCM of 885, 195, 312, 554?

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 885, 195, 312, 554.

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}.