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LCM of 271, 986, 432

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


Find the LCM of 271, 986, 432 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 271, 986, 432. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 271,986,432

Given numbers are 271,986,432

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

The LCM of 271,986,432 is 57716496.

Find LCM of 271,986,432 with Prime Factorization


2 271, 986, 432
271, 493, 216

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

2 x 271 x 493 x 216 = 57716496

Therefore, the lowest common multiple of 271,986,432 is 57716496.

LCM Formula to Find Lowest Common Multiple of 271,986,432

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.

271 x 986 x 432 = 115432992

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.

271 : 1, 271

986 : 1, 2, 17, 29, 34, 58, 493, 986

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,986,432, is 1.

Now, the common factors can be found like this.

271:271

986:2x 17x 29

432:2x 2x 2x 2x 3x 3x 3

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

2 = 2

Therefore, the value for common factors is 2.

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 = 115432992/(1x2)

LCM = 115432992/2

LCM = 57716496

Thus, we can understand that the LCM of 271,986,432 is 57716496.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 271, 986, 432

1. What is the LCM of 271, 986, 432?

Answer: LCM of 271, 986, 432 is 57716496.

2. How to calculate the LCM of 271, 986, 432?

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 271, 986, 432.

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}.