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LCM of 755, 905, 307, 394

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


Find the LCM of 755, 905, 307, 394 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 755, 905, 307, 394. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 755,905,307,394

Given numbers are 755,905,307,394

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

The LCM of 755,905,307,394 is 16529515490.

Find LCM of 755,905,307,394 with Prime Factorization


5 755, 905, 307, 394
151, 181, 307, 394

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

5 x 151 x 181 x 307 x 394 = 16529515490

Therefore, the lowest common multiple of 755,905,307,394 is 16529515490.

LCM Formula to Find Lowest Common Multiple of 755,905,307,394

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.

755 x 905 x 307 x 394 = 82647577450

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.

755 : 1, 5, 151, 755

905 : 1, 5, 181, 905

307 : 1, 307

394 : 1, 2, 197, 394

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 755,905,307,394, is 1.

Now, the common factors can be found like this.

755:5x 151

905:5x 181

307:307

394:2x 197

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

5 = 5

Therefore, the value for common factors is 5.

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 = 82647577450/(1x5)

LCM = 82647577450/5

LCM = 16529515490

Thus, we can understand that the LCM of 755,905,307,394 is 16529515490.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 755, 905, 307, 394

1. What is the LCM of 755, 905, 307, 394?

Answer: LCM of 755, 905, 307, 394 is 16529515490.

2. How to calculate the LCM of 755, 905, 307, 394?

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 755, 905, 307, 394.

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}.