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LCM of 990, 556, 891, 685

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


Find the LCM of 990, 556, 891, 685 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 990, 556, 891, 685. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 990,556,891,685

Given numbers are 990,556,891,685

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

The LCM of 990,556,891,685 is 339346260.

Find LCM of 990,556,891,685 with Prime Factorization


2 990, 556, 891, 685
3 495, 278, 891, 685
3 165, 278, 297, 685
5 55, 278, 99, 685
11 11, 278, 99, 137
1, 278, 9, 137

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

2 x 3 x 3 x 5 x 11 x 1 x 278 x 9 x 137 = 339346260

Therefore, the lowest common multiple of 990,556,891,685 is 339346260.

LCM Formula to Find Lowest Common Multiple of 990,556,891,685

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.

990 x 556 x 891 x 685 = 335952797400

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.

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

556 : 1, 2, 4, 139, 278, 556

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

685 : 1, 5, 137, 685

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,556,891,685, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

556:2x 2x 139

891:3x 3x 3x 3x 11

685:5x 137

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 11 = 990

Therefore, the value for common factors is 990.

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 = 335952797400/(1x990)

LCM = 335952797400/990

LCM = 339346260

Thus, we can understand that the LCM of 990,556,891,685 is 339346260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 990, 556, 891, 685

1. What is the LCM of 990, 556, 891, 685?

Answer: LCM of 990, 556, 891, 685 is 339346260.

2. How to calculate the LCM of 990, 556, 891, 685?

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 990, 556, 891, 685.

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}.