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LCM of 939, 581, 909, 441, 359

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


Find the LCM of 939, 581, 909, 441, 359 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 939, 581, 909, 441, 359. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 939,581,909,441,359

Given numbers are 939,581,909,441,359

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

The LCM of 939,581,909,441,359 is 415409899401.

Find LCM of 939,581,909,441,359 with Prime Factorization


3 939, 581, 909, 441, 359
3 313, 581, 303, 147, 359
7 313, 581, 101, 49, 359
313, 83, 101, 7, 359

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

3 x 3 x 7 x 313 x 83 x 101 x 7 x 359 = 415409899401

Therefore, the lowest common multiple of 939,581,909,441,359 is 415409899401.

LCM Formula to Find Lowest Common Multiple of 939,581,909,441,359

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.

939 x 581 x 909 x 441 x 359 = 78512470986789

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.

939 : 1, 3, 313, 939

581 : 1, 7, 83, 581

909 : 1, 3, 9, 101, 303, 909

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

359 : 1, 359

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,581,909,441,359, is 1.

Now, the common factors can be found like this.

939:3x 313

581:7x 83

909:3x 3x 101

441:3x 3x 7x 7

359:359

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

3x 3x 3x 7 = 189

Therefore, the value for common factors is 189.

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 = 78512470986789/(1x189)

LCM = 78512470986789/189

LCM = 415409899401

Thus, we can understand that the LCM of 939,581,909,441,359 is 415409899401.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 939, 581, 909, 441, 359

1. What is the LCM of 939, 581, 909, 441, 359?

Answer: LCM of 939, 581, 909, 441, 359 is 415409899401.

2. How to calculate the LCM of 939, 581, 909, 441, 359?

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 939, 581, 909, 441, 359.

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}.