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LCM of 957, 764, 935, 957

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


Find the LCM of 957, 764, 935, 957 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 957, 764, 935, 957. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 957,764,935,957

Given numbers are 957,764,935,957

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

The LCM of 957,764,935,957 is 62147580.

Find LCM of 957,764,935,957 with Prime Factorization


3 957, 764, 935, 957
11 319, 764, 935, 319
29 29, 764, 85, 29
1, 764, 85, 1

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

3 x 11 x 29 x 1 x 764 x 85 x 1 = 62147580

Therefore, the lowest common multiple of 957,764,935,957 is 62147580.

LCM Formula to Find Lowest Common Multiple of 957,764,935,957

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.

957 x 764 x 935 x 957 = 654227574660

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.

957 : 1, 3, 11, 29, 33, 87, 319, 957

764 : 1, 2, 4, 191, 382, 764

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

957 : 1, 3, 11, 29, 33, 87, 319, 957

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,764,935,957, is 1.

Now, the common factors can be found like this.

957:3x 11x 29

764:2x 2x 191

935:5x 11x 17

957:3x 11x 29

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

3x 11x 11x 29 = 10527

Therefore, the value for common factors is 10527.

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 = 654227574660/(1x10527)

LCM = 654227574660/10527

LCM = 62147580

Thus, we can understand that the LCM of 957,764,935,957 is 62147580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 957, 764, 935, 957

1. What is the LCM of 957, 764, 935, 957?

Answer: LCM of 957, 764, 935, 957 is 62147580.

2. How to calculate the LCM of 957, 764, 935, 957?

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 957, 764, 935, 957.

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}.