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LCM of 286, 715, 242

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


Find the LCM of 286, 715, 242 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 286, 715, 242. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 286,715,242

Given numbers are 286,715,242

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

The LCM of 286,715,242 is 15730.

Find LCM of 286,715,242 with Prime Factorization


2 286, 715, 242
11 143, 715, 121
13 13, 65, 11
1, 5, 11

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

2 x 11 x 13 x 1 x 5 x 11 = 15730

Therefore, the lowest common multiple of 286,715,242 is 15730.

LCM Formula to Find Lowest Common Multiple of 286,715,242

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.

286 x 715 x 242 = 49486580

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.

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

715 : 1, 5, 11, 13, 55, 65, 143, 715

242 : 1, 2, 11, 22, 121, 242

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,715,242, is 11.

Now, the common factors can be found like this.

286:2x 11x 13

715:5x 11x 13

242:2x 11x 11

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

2x 11x 13 = 286

Therefore, the value for common factors is 286.

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 = 49486580/(11x286)

LCM = 49486580/3146

LCM = 15730

Thus, we can understand that the LCM of 286,715,242 is 15730.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 286, 715, 242

1. What is the LCM of 286, 715, 242?

Answer: LCM of 286, 715, 242 is 15730.

2. How to calculate the LCM of 286, 715, 242?

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 286, 715, 242.

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}.