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LCM of 550, 305, 982, 308

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


Find the LCM of 550, 305, 982, 308 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 550, 305, 982, 308. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 550,305,982,308

Given numbers are 550,305,982,308

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

The LCM of 550,305,982,308 is 230622700.

Find LCM of 550,305,982,308 with Prime Factorization


2 550, 305, 982, 308
5 275, 305, 491, 154
11 55, 61, 491, 154
5, 61, 491, 14

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

2 x 5 x 11 x 5 x 61 x 491 x 14 = 230622700

Therefore, the lowest common multiple of 550,305,982,308 is 230622700.

LCM Formula to Find Lowest Common Multiple of 550,305,982,308

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.

550 x 305 x 982 x 308 = 50736994000

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.

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

305 : 1, 5, 61, 305

982 : 1, 2, 491, 982

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 550,305,982,308, is 1.

Now, the common factors can be found like this.

550:2x 5x 5x 11

305:5x 61

982:2x 491

308:2x 2x 7x 11

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 5x 11 = 220

Therefore, the value for common factors is 220.

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 = 50736994000/(1x220)

LCM = 50736994000/220

LCM = 230622700

Thus, we can understand that the LCM of 550,305,982,308 is 230622700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 550, 305, 982, 308

1. What is the LCM of 550, 305, 982, 308?

Answer: LCM of 550, 305, 982, 308 is 230622700.

2. How to calculate the LCM of 550, 305, 982, 308?

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 550, 305, 982, 308.

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}.