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LCM of 116, 307, 389, 442

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


Find the LCM of 116, 307, 389, 442 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 116, 307, 389, 442. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 116,307,389,442

Given numbers are 116,307,389,442

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

The LCM of 116,307,389,442 is 3061528028.

Find LCM of 116,307,389,442 with Prime Factorization


2 116, 307, 389, 442
58, 307, 389, 221

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

2 x 58 x 307 x 389 x 221 = 3061528028

Therefore, the lowest common multiple of 116,307,389,442 is 3061528028.

LCM Formula to Find Lowest Common Multiple of 116,307,389,442

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.

116 x 307 x 389 x 442 = 6123056056

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.

116 : 1, 2, 4, 29, 58, 116

307 : 1, 307

389 : 1, 389

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,307,389,442, is 1.

Now, the common factors can be found like this.

116:2x 2x 29

307:307

389:389

442:2x 13x 17

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 = 6123056056/(1x2)

LCM = 6123056056/2

LCM = 3061528028

Thus, we can understand that the LCM of 116,307,389,442 is 3061528028.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 116, 307, 389, 442

1. What is the LCM of 116, 307, 389, 442?

Answer: LCM of 116, 307, 389, 442 is 3061528028.

2. How to calculate the LCM of 116, 307, 389, 442?

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 116, 307, 389, 442.

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}.