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LCM of 975, 627, 114, 482

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


Find the LCM of 975, 627, 114, 482 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, 627, 114, 482. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 975,627,114,482

Given numbers are 975,627,114,482

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

The LCM of 975,627,114,482 is 98219550.

Find LCM of 975,627,114,482 with Prime Factorization


2 975, 627, 114, 482
3 975, 627, 57, 241
19 325, 209, 19, 241
325, 11, 1, 241

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

2 x 3 x 19 x 325 x 11 x 1 x 241 = 98219550

Therefore, the lowest common multiple of 975,627,114,482 is 98219550.

LCM Formula to Find Lowest Common Multiple of 975,627,114,482

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 627 x 114 x 482 = 33591086100

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

627 : 1, 3, 11, 19, 33, 57, 209, 627

114 : 1, 2, 3, 6, 19, 38, 57, 114

482 : 1, 2, 241, 482

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,627,114,482, is 1.

Now, the common factors can be found like this.

975:3x 5x 5x 13

627:3x 11x 19

114:2x 3x 19

482:2x 241

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

2x 3x 3x 19 = 342

Therefore, the value for common factors is 342.

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 = 33591086100/(1x342)

LCM = 33591086100/342

LCM = 98219550

Thus, we can understand that the LCM of 975,627,114,482 is 98219550.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 975, 627, 114, 482

1. What is the LCM of 975, 627, 114, 482?

Answer: LCM of 975, 627, 114, 482 is 98219550.

2. How to calculate the LCM of 975, 627, 114, 482?

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, 627, 114, 482.

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}.