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LCM of 981, 888, 453, 975

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


Find the LCM of 981, 888, 453, 975 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 981, 888, 453, 975. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 981,888,453,975

Given numbers are 981,888,453,975

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

The LCM of 981,888,453,975 is 14250202200.

Find LCM of 981,888,453,975 with Prime Factorization


3 981, 888, 453, 975
327, 296, 151, 325

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

3 x 327 x 296 x 151 x 325 = 14250202200

Therefore, the lowest common multiple of 981,888,453,975 is 14250202200.

LCM Formula to Find Lowest Common Multiple of 981,888,453,975

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.

981 x 888 x 453 x 975 = 384755459400

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.

981 : 1, 3, 9, 109, 327, 981

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

453 : 1, 3, 151, 453

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,888,453,975, is 3.

Now, the common factors can be found like this.

981:3x 3x 109

888:2x 2x 2x 3x 37

453:3x 151

975:3x 5x 5x 13

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 384755459400/(3x9)

LCM = 384755459400/27

LCM = 14250202200

Thus, we can understand that the LCM of 981,888,453,975 is 14250202200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 981, 888, 453, 975

1. What is the LCM of 981, 888, 453, 975?

Answer: LCM of 981, 888, 453, 975 is 14250202200.

2. How to calculate the LCM of 981, 888, 453, 975?

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 981, 888, 453, 975.

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}.