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LCM of 682, 226, 707, 957

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


Find the LCM of 682, 226, 707, 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 682, 226, 707, 957. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 682,226,707,957

Given numbers are 682,226,707,957

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

The LCM of 682,226,707,957 is 4740252594.

Find LCM of 682,226,707,957 with Prime Factorization


2 682, 226, 707, 957
11 341, 113, 707, 957
31, 113, 707, 87

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

2 x 11 x 31 x 113 x 707 x 87 = 4740252594

Therefore, the lowest common multiple of 682,226,707,957 is 4740252594.

LCM Formula to Find Lowest Common Multiple of 682,226,707,957

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.

682 x 226 x 707 x 957 = 104285557068

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.

682 : 1, 2, 11, 22, 31, 62, 341, 682

226 : 1, 2, 113, 226

707 : 1, 7, 101, 707

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 682,226,707,957, is 1.

Now, the common factors can be found like this.

682:2x 11x 31

226:2x 113

707:7x 101

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.

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 104285557068/(1x22)

LCM = 104285557068/22

LCM = 4740252594

Thus, we can understand that the LCM of 682,226,707,957 is 4740252594.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 682, 226, 707, 957

1. What is the LCM of 682, 226, 707, 957?

Answer: LCM of 682, 226, 707, 957 is 4740252594.

2. How to calculate the LCM of 682, 226, 707, 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 682, 226, 707, 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}.