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LCM of 112, 583, 122, 819

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


Find the LCM of 112, 583, 122, 819 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 112, 583, 122, 819. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 112,583,122,819

Given numbers are 112,583,122,819

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

The LCM of 112,583,122,819 is 466017552.

Find LCM of 112,583,122,819 with Prime Factorization


2 112, 583, 122, 819
7 56, 583, 61, 819
8, 583, 61, 117

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

2 x 7 x 8 x 583 x 61 x 117 = 466017552

Therefore, the lowest common multiple of 112,583,122,819 is 466017552.

LCM Formula to Find Lowest Common Multiple of 112,583,122,819

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.

112 x 583 x 122 x 819 = 6524245728

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.

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

583 : 1, 11, 53, 583

122 : 1, 2, 61, 122

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,583,122,819, is 1.

Now, the common factors can be found like this.

112:2x 2x 2x 2x 7

583:11x 53

122:2x 61

819:3x 3x 7x 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 7 = 14

Therefore, the value for common factors is 14.

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 = 6524245728/(1x14)

LCM = 6524245728/14

LCM = 466017552

Thus, we can understand that the LCM of 112,583,122,819 is 466017552.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 112, 583, 122, 819

1. What is the LCM of 112, 583, 122, 819?

Answer: LCM of 112, 583, 122, 819 is 466017552.

2. How to calculate the LCM of 112, 583, 122, 819?

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 112, 583, 122, 819.

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}.