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LCM of 935, 778, 398, 676, 909

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


Find the LCM of 935, 778, 398, 676, 909 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 935, 778, 398, 676, 909. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 935,778,398,676,909

Given numbers are 935,778,398,676,909

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

The LCM of 935,778,398,676,909 is 44475912563940.

Find LCM of 935,778,398,676,909 with Prime Factorization


2 935, 778, 398, 676, 909
935, 389, 199, 338, 909

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

2 x 935 x 389 x 199 x 338 x 909 = 44475912563940

Therefore, the lowest common multiple of 935,778,398,676,909 is 44475912563940.

LCM Formula to Find Lowest Common Multiple of 935,778,398,676,909

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.

935 x 778 x 398 x 676 x 909 = 177903650255760

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.

935 : 1, 5, 11, 17, 55, 85, 187, 935

778 : 1, 2, 389, 778

398 : 1, 2, 199, 398

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,778,398,676,909, is 1.

Now, the common factors can be found like this.

935:5x 11x 17

778:2x 389

398:2x 199

676:2x 2x 13x 13

909:3x 3x 101

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 177903650255760/(1x4)

LCM = 177903650255760/4

LCM = 44475912563940

Thus, we can understand that the LCM of 935,778,398,676,909 is 44475912563940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 935, 778, 398, 676, 909

1. What is the LCM of 935, 778, 398, 676, 909?

Answer: LCM of 935, 778, 398, 676, 909 is 44475912563940.

2. How to calculate the LCM of 935, 778, 398, 676, 909?

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 935, 778, 398, 676, 909.

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}.