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LCM of 849, 556, 300, 912

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


Find the LCM of 849, 556, 300, 912 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 849, 556, 300, 912. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 849,556,300,912

Given numbers are 849,556,300,912

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

The LCM of 849,556,300,912 is 896883600.

Find LCM of 849,556,300,912 with Prime Factorization


2 849, 556, 300, 912
2 849, 278, 150, 456
3 849, 139, 75, 228
283, 139, 25, 76

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

2 x 2 x 3 x 283 x 139 x 25 x 76 = 896883600

Therefore, the lowest common multiple of 849,556,300,912 is 896883600.

LCM Formula to Find Lowest Common Multiple of 849,556,300,912

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.

849 x 556 x 300 x 912 = 129151238400

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.

849 : 1, 3, 283, 849

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

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,556,300,912, is 1.

Now, the common factors can be found like this.

849:3x 283

556:2x 2x 139

300:2x 2x 3x 5x 5

912:2x 2x 2x 2x 3x 19

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 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 129151238400/(1x144)

LCM = 129151238400/144

LCM = 896883600

Thus, we can understand that the LCM of 849,556,300,912 is 896883600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 849, 556, 300, 912

1. What is the LCM of 849, 556, 300, 912?

Answer: LCM of 849, 556, 300, 912 is 896883600.

2. How to calculate the LCM of 849, 556, 300, 912?

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 849, 556, 300, 912.

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}.