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LCM of 396, 226, 912, 283, 143

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


Find the LCM of 396, 226, 912, 283, 143 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 396, 226, 912, 283, 143. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 396,226,912,283,143

Given numbers are 396,226,912,283,143

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

The LCM of 396,226,912,283,143 is 12511719792.

Find LCM of 396,226,912,283,143 with Prime Factorization


2 396, 226, 912, 283, 143
2 198, 113, 456, 283, 143
3 99, 113, 228, 283, 143
11 33, 113, 76, 283, 143
3, 113, 76, 283, 13

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

2 x 2 x 3 x 11 x 3 x 113 x 76 x 283 x 13 = 12511719792

Therefore, the lowest common multiple of 396,226,912,283,143 is 12511719792.

LCM Formula to Find Lowest Common Multiple of 396,226,912,283,143

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.

396 x 226 x 912 x 283 x 143 = 3303094025088

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.

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

226 : 1, 2, 113, 226

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

283 : 1, 283

143 : 1, 11, 13, 143

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,226,912,283,143, is 1.

Now, the common factors can be found like this.

396:2x 2x 3x 3x 11

226:2x 113

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

283:283

143:11x 13

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 3x 11 = 264

Therefore, the value for common factors is 264.

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 = 3303094025088/(1x264)

LCM = 3303094025088/264

LCM = 12511719792

Thus, we can understand that the LCM of 396,226,912,283,143 is 12511719792.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 396, 226, 912, 283, 143

1. What is the LCM of 396, 226, 912, 283, 143?

Answer: LCM of 396, 226, 912, 283, 143 is 12511719792.

2. How to calculate the LCM of 396, 226, 912, 283, 143?

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 396, 226, 912, 283, 143.

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}.