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LCM of 205, 283, 772, 316

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


Find the LCM of 205, 283, 772, 316 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 205, 283, 772, 316. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 205,283,772,316

Given numbers are 205,283,772,316

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

The LCM of 205,283,772,316 is 3538218820.

Find LCM of 205,283,772,316 with Prime Factorization


2 205, 283, 772, 316
2 205, 283, 386, 158
205, 283, 193, 79

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

2 x 2 x 205 x 283 x 193 x 79 = 3538218820

Therefore, the lowest common multiple of 205,283,772,316 is 3538218820.

LCM Formula to Find Lowest Common Multiple of 205,283,772,316

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.

205 x 283 x 772 x 316 = 14152875280

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.

205 : 1, 5, 41, 205

283 : 1, 283

772 : 1, 2, 4, 193, 386, 772

316 : 1, 2, 4, 79, 158, 316

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,283,772,316, is 1.

Now, the common factors can be found like this.

205:5x 41

283:283

772:2x 2x 193

316:2x 2x 79

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 14152875280/(1x4)

LCM = 14152875280/4

LCM = 3538218820

Thus, we can understand that the LCM of 205,283,772,316 is 3538218820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 205, 283, 772, 316

1. What is the LCM of 205, 283, 772, 316?

Answer: LCM of 205, 283, 772, 316 is 3538218820.

2. How to calculate the LCM of 205, 283, 772, 316?

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 205, 283, 772, 316.

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}.