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LCM of 442, 286, 247, 926

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


Find the LCM of 442, 286, 247, 926 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 442, 286, 247, 926. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 442,286,247,926

Given numbers are 442,286,247,926

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

The LCM of 442,286,247,926 is 42771014.

Find LCM of 442,286,247,926 with Prime Factorization


2 442, 286, 247, 926
13 221, 143, 247, 463
17, 11, 19, 463

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

2 x 13 x 17 x 11 x 19 x 463 = 42771014

Therefore, the lowest common multiple of 442,286,247,926 is 42771014.

LCM Formula to Find Lowest Common Multiple of 442,286,247,926

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.

442 x 286 x 247 x 926 = 28913205464

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.

442 : 1, 2, 13, 17, 26, 34, 221, 442

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

247 : 1, 13, 19, 247

926 : 1, 2, 463, 926

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,286,247,926, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

286:2x 11x 13

247:13x 19

926:2x 463

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 13x 13 = 676

Therefore, the value for common factors is 676.

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 = 28913205464/(1x676)

LCM = 28913205464/676

LCM = 42771014

Thus, we can understand that the LCM of 442,286,247,926 is 42771014.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 442, 286, 247, 926

1. What is the LCM of 442, 286, 247, 926?

Answer: LCM of 442, 286, 247, 926 is 42771014.

2. How to calculate the LCM of 442, 286, 247, 926?

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 442, 286, 247, 926.

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}.