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LCM of 796, 909, 935, 660

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


Find the LCM of 796, 909, 935, 660 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 796, 909, 935, 660. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 796,909,935,660

Given numbers are 796,909,935,660

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

The LCM of 796,909,935,660 is 676532340.

Find LCM of 796,909,935,660 with Prime Factorization


2 796, 909, 935, 660
2 398, 909, 935, 330
3 199, 909, 935, 165
5 199, 303, 935, 55
11 199, 303, 187, 11
199, 303, 17, 1

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

2 x 2 x 3 x 5 x 11 x 199 x 303 x 17 x 1 = 676532340

Therefore, the lowest common multiple of 796,909,935,660 is 676532340.

LCM Formula to Find Lowest Common Multiple of 796,909,935,660

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.

796 x 909 x 935 x 660 = 446511344400

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.

796 : 1, 2, 4, 199, 398, 796

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

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

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,909,935,660, is 1.

Now, the common factors can be found like this.

796:2x 2x 199

909:3x 3x 101

935:5x 11x 17

660:2x 2x 3x 5x 11

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

2x 2x 3x 5x 11 = 660

Therefore, the value for common factors is 660.

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 = 446511344400/(1x660)

LCM = 446511344400/660

LCM = 676532340

Thus, we can understand that the LCM of 796,909,935,660 is 676532340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 796, 909, 935, 660

1. What is the LCM of 796, 909, 935, 660?

Answer: LCM of 796, 909, 935, 660 is 676532340.

2. How to calculate the LCM of 796, 909, 935, 660?

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 796, 909, 935, 660.

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}.