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LCM of 182, 922, 676, 512

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


Find the LCM of 182, 922, 676, 512 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 182, 922, 676, 512. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 182,922,676,512

Given numbers are 182,922,676,512

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

The LCM of 182,922,676,512 is 279225856.

Find LCM of 182,922,676,512 with Prime Factorization


2 182, 922, 676, 512
2 91, 461, 338, 256
13 91, 461, 169, 128
7, 461, 13, 128

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

2 x 2 x 13 x 7 x 461 x 13 x 128 = 279225856

Therefore, the lowest common multiple of 182,922,676,512 is 279225856.

LCM Formula to Find Lowest Common Multiple of 182,922,676,512

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.

182 x 922 x 676 x 512 = 58078978048

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.

182 : 1, 2, 7, 13, 14, 26, 91, 182

922 : 1, 2, 461, 922

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,922,676,512, is 2.

Now, the common factors can be found like this.

182:2x 7x 13

922:2x 461

676:2x 2x 13x 13

512:2x 2x 2x 2x 2x 2x 2x 2x 2

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 13 = 104

Therefore, the value for common factors is 104.

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 = 58078978048/(2x104)

LCM = 58078978048/208

LCM = 279225856

Thus, we can understand that the LCM of 182,922,676,512 is 279225856.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 182, 922, 676, 512

1. What is the LCM of 182, 922, 676, 512?

Answer: LCM of 182, 922, 676, 512 is 279225856.

2. How to calculate the LCM of 182, 922, 676, 512?

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 182, 922, 676, 512.

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}.