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LCM of 401, 317, 273, 949

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


Find the LCM of 401, 317, 273, 949 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 401, 317, 273, 949. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 401,317,273,949

Given numbers are 401,317,273,949

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

The LCM of 401,317,273,949 is 2533314693.

Find LCM of 401,317,273,949 with Prime Factorization


13 401, 317, 273, 949
401, 317, 21, 73

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

13 x 401 x 317 x 21 x 73 = 2533314693

Therefore, the lowest common multiple of 401,317,273,949 is 2533314693.

LCM Formula to Find Lowest Common Multiple of 401,317,273,949

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.

401 x 317 x 273 x 949 = 32933091009

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.

401 : 1, 401

317 : 1, 317

273 : 1, 3, 7, 13, 21, 39, 91, 273

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,317,273,949, is 1.

Now, the common factors can be found like this.

401:401

317:317

273:3x 7x 13

949:13x 73

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

13 = 13

Therefore, the value for common factors is 13.

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 = 32933091009/(1x13)

LCM = 32933091009/13

LCM = 2533314693

Thus, we can understand that the LCM of 401,317,273,949 is 2533314693.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 401, 317, 273, 949

1. What is the LCM of 401, 317, 273, 949?

Answer: LCM of 401, 317, 273, 949 is 2533314693.

2. How to calculate the LCM of 401, 317, 273, 949?

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 401, 317, 273, 949.

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}.