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LCM of 115, 143, 182, 418

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


Find the LCM of 115, 143, 182, 418 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 115, 143, 182, 418. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 115,143,182,418

Given numbers are 115,143,182,418

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

The LCM of 115,143,182,418 is 4374370.

Find LCM of 115,143,182,418 with Prime Factorization


2 115, 143, 182, 418
11 115, 143, 91, 209
13 115, 13, 91, 19
115, 1, 7, 19

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

2 x 11 x 13 x 115 x 1 x 7 x 19 = 4374370

Therefore, the lowest common multiple of 115,143,182,418 is 4374370.

LCM Formula to Find Lowest Common Multiple of 115,143,182,418

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.

115 x 143 x 182 x 418 = 1251069820

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.

115 : 1, 5, 23, 115

143 : 1, 11, 13, 143

182 : 1, 2, 7, 13, 14, 26, 91, 182

418 : 1, 2, 11, 19, 22, 38, 209, 418

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,143,182,418, is 1.

Now, the common factors can be found like this.

115:5x 23

143:11x 13

182:2x 7x 13

418:2x 11x 19

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 = 1251069820/(1x286)

LCM = 1251069820/286

LCM = 4374370

Thus, we can understand that the LCM of 115,143,182,418 is 4374370.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 115, 143, 182, 418

1. What is the LCM of 115, 143, 182, 418?

Answer: LCM of 115, 143, 182, 418 is 4374370.

2. How to calculate the LCM of 115, 143, 182, 418?

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 115, 143, 182, 418.

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}.