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LCM of 925, 991, 185, 317

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


Find the LCM of 925, 991, 185, 317 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 925, 991, 185, 317. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 925,991,185,317

Given numbers are 925,991,185,317

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

The LCM of 925,991,185,317 is 290585975.

Find LCM of 925,991,185,317 with Prime Factorization


5 925, 991, 185, 317
37 185, 991, 37, 317
5, 991, 1, 317

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

5 x 37 x 5 x 991 x 1 x 317 = 290585975

Therefore, the lowest common multiple of 925,991,185,317 is 290585975.

LCM Formula to Find Lowest Common Multiple of 925,991,185,317

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.

925 x 991 x 185 x 317 = 53758405375

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.

925 : 1, 5, 25, 37, 185, 925

991 : 1, 991

185 : 1, 5, 37, 185

317 : 1, 317

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 925,991,185,317, is 1.

Now, the common factors can be found like this.

925:5x 5x 37

991:991

185:5x 37

317:317

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

5x 37 = 185

Therefore, the value for common factors is 185.

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 = 53758405375/(1x185)

LCM = 53758405375/185

LCM = 290585975

Thus, we can understand that the LCM of 925,991,185,317 is 290585975.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 925, 991, 185, 317

1. What is the LCM of 925, 991, 185, 317?

Answer: LCM of 925, 991, 185, 317 is 290585975.

2. How to calculate the LCM of 925, 991, 185, 317?

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 925, 991, 185, 317.

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}.