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LCM of 181, 864, 586, 293, 293

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


Find the LCM of 181, 864, 586, 293, 293 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 181, 864, 586, 293, 293. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 181,864,586,293,293

Given numbers are 181,864,586,293,293

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

The LCM of 181,864,586,293,293 is 45820512.

Find LCM of 181,864,586,293,293 with Prime Factorization


2 181, 864, 586, 293, 293
293 181, 432, 293, 293, 293
181, 432, 1, 1, 1

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

2 x 293 x 181 x 432 x 1 x 1 x 1 = 45820512

Therefore, the lowest common multiple of 181,864,586,293,293 is 45820512.

LCM Formula to Find Lowest Common Multiple of 181,864,586,293,293

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.

181 x 864 x 586 x 293 x 293 = 7867290269376

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.

181 : 1, 181

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

586 : 1, 2, 293, 586

293 : 1, 293

293 : 1, 293

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 181,864,586,293,293, is 1.

Now, the common factors can be found like this.

181:181

864:2x 2x 2x 2x 2x 3x 3x 3

586:2x 293

293:293

293:293

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

2x 293x 293 = 171698

Therefore, the value for common factors is 171698.

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 = 7867290269376/(1x171698)

LCM = 7867290269376/171698

LCM = 45820512

Thus, we can understand that the LCM of 181,864,586,293,293 is 45820512.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 181, 864, 586, 293, 293

1. What is the LCM of 181, 864, 586, 293, 293?

Answer: LCM of 181, 864, 586, 293, 293 is 45820512.

2. How to calculate the LCM of 181, 864, 586, 293, 293?

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 181, 864, 586, 293, 293.

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}.