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LCM of 228, 283, 621, 849

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


Find the LCM of 228, 283, 621, 849 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 228, 283, 621, 849. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 228,283,621,849

Given numbers are 228,283,621,849

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

The LCM of 228,283,621,849 is 13356468.

Find LCM of 228,283,621,849 with Prime Factorization


3 228, 283, 621, 849
283 76, 283, 207, 283
76, 1, 207, 1

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

3 x 283 x 76 x 1 x 207 x 1 = 13356468

Therefore, the lowest common multiple of 228,283,621,849 is 13356468.

LCM Formula to Find Lowest Common Multiple of 228,283,621,849

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.

228 x 283 x 621 x 849 = 34018923996

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.

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

283 : 1, 283

621 : 1, 3, 9, 23, 27, 69, 207, 621

849 : 1, 3, 283, 849

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,283,621,849, is 1.

Now, the common factors can be found like this.

228:2x 2x 3x 19

283:283

621:3x 3x 3x 23

849:3x 283

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

3x 3x 283 = 2547

Therefore, the value for common factors is 2547.

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 = 34018923996/(1x2547)

LCM = 34018923996/2547

LCM = 13356468

Thus, we can understand that the LCM of 228,283,621,849 is 13356468.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 228, 283, 621, 849

1. What is the LCM of 228, 283, 621, 849?

Answer: LCM of 228, 283, 621, 849 is 13356468.

2. How to calculate the LCM of 228, 283, 621, 849?

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 228, 283, 621, 849.

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}.