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LCM of 957, 401, 401, 710

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


Find the LCM of 957, 401, 401, 710 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, 401, 401, 710. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 957,401,401,710

Given numbers are 957,401,401,710

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

The LCM of 957,401,401,710 is 272467470.

Find LCM of 957,401,401,710 with Prime Factorization


401 957, 401, 401, 710
957, 1, 1, 710

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

401 x 957 x 1 x 1 x 710 = 272467470

Therefore, the lowest common multiple of 957,401,401,710 is 272467470.

LCM Formula to Find Lowest Common Multiple of 957,401,401,710

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 401 x 401 x 710 = 109259455470

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

401 : 1, 401

401 : 1, 401

710 : 1, 2, 5, 10, 71, 142, 355, 710

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,401,401,710, is 1.

Now, the common factors can be found like this.

957:3x 11x 29

401:401

401:401

710:2x 5x 71

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

401 = 401

Therefore, the value for common factors is 401.

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 = 109259455470/(1x401)

LCM = 109259455470/401

LCM = 272467470

Thus, we can understand that the LCM of 957,401,401,710 is 272467470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 957, 401, 401, 710

1. What is the LCM of 957, 401, 401, 710?

Answer: LCM of 957, 401, 401, 710 is 272467470.

2. How to calculate the LCM of 957, 401, 401, 710?

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, 401, 401, 710.

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}.