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LCM of 231, 161, 391

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


Find the LCM of 231, 161, 391 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 231, 161, 391. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 231,161,391

Given numbers are 231,161,391

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

The LCM of 231,161,391 is 90321.

Find LCM of 231,161,391 with Prime Factorization


7 231, 161, 391
23 33, 23, 391
33, 1, 17

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

7 x 23 x 33 x 1 x 17 = 90321

Therefore, the lowest common multiple of 231,161,391 is 90321.

LCM Formula to Find Lowest Common Multiple of 231,161,391

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.

231 x 161 x 391 = 14541681

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.

231 : 1, 3, 7, 11, 21, 33, 77, 231

161 : 1, 7, 23, 161

391 : 1, 17, 23, 391

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 231,161,391, is 1.

Now, the common factors can be found like this.

231:3x 7x 11

161:7x 23

391:17x 23

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

7x 23 = 161

Therefore, the value for common factors is 161.

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 = 14541681/(1x161)

LCM = 14541681/161

LCM = 90321

Thus, we can understand that the LCM of 231,161,391 is 90321.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 231, 161, 391

1. What is the LCM of 231, 161, 391?

Answer: LCM of 231, 161, 391 is 90321.

2. How to calculate the LCM of 231, 161, 391?

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 231, 161, 391.

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}.