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LCM of 975, 933, 909, 505

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


Find the LCM of 975, 933, 909, 505 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 975, 933, 909, 505. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 975,933,909,505

Given numbers are 975,933,909,505

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

The LCM of 975,933,909,505 is 91877175.

Find LCM of 975,933,909,505 with Prime Factorization


3 975, 933, 909, 505
5 325, 311, 303, 505
101 65, 311, 303, 101
65, 311, 3, 1

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

3 x 5 x 101 x 65 x 311 x 3 x 1 = 91877175

Therefore, the lowest common multiple of 975,933,909,505 is 91877175.

LCM Formula to Find Lowest Common Multiple of 975,933,909,505

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.

975 x 933 x 909 x 505 = 417581760375

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.

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

933 : 1, 3, 311, 933

909 : 1, 3, 9, 101, 303, 909

505 : 1, 5, 101, 505

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,933,909,505, is 1.

Now, the common factors can be found like this.

975:3x 5x 5x 13

933:3x 311

909:3x 3x 101

505:5x 101

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

3x 3x 5x 101 = 4545

Therefore, the value for common factors is 4545.

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 = 417581760375/(1x4545)

LCM = 417581760375/4545

LCM = 91877175

Thus, we can understand that the LCM of 975,933,909,505 is 91877175.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 975, 933, 909, 505

1. What is the LCM of 975, 933, 909, 505?

Answer: LCM of 975, 933, 909, 505 is 91877175.

2. How to calculate the LCM of 975, 933, 909, 505?

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 975, 933, 909, 505.

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}.