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LCM of 293, 845, 286, 844

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


Find the LCM of 293, 845, 286, 844 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 293, 845, 286, 844. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 293,845,286,844

Given numbers are 293,845,286,844

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

The LCM of 293,845,286,844 is 2298579140.

Find LCM of 293,845,286,844 with Prime Factorization


2 293, 845, 286, 844
13 293, 845, 143, 422
293, 65, 11, 422

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

2 x 13 x 293 x 65 x 11 x 422 = 2298579140

Therefore, the lowest common multiple of 293,845,286,844 is 2298579140.

LCM Formula to Find Lowest Common Multiple of 293,845,286,844

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.

293 x 845 x 286 x 844 = 59763057640

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.

293 : 1, 293

845 : 1, 5, 13, 65, 169, 845

286 : 1, 2, 11, 13, 22, 26, 143, 286

844 : 1, 2, 4, 211, 422, 844

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,845,286,844, is 1.

Now, the common factors can be found like this.

293:293

845:5x 13x 13

286:2x 11x 13

844:2x 2x 211

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 59763057640/(1x26)

LCM = 59763057640/26

LCM = 2298579140

Thus, we can understand that the LCM of 293,845,286,844 is 2298579140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 293, 845, 286, 844

1. What is the LCM of 293, 845, 286, 844?

Answer: LCM of 293, 845, 286, 844 is 2298579140.

2. How to calculate the LCM of 293, 845, 286, 844?

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 293, 845, 286, 844.

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}.