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LCM of 547, 225, 873, 970

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


Find the LCM of 547, 225, 873, 970 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 547, 225, 873, 970. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 547,225,873,970

Given numbers are 547,225,873,970

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

The LCM of 547,225,873,970 is 23876550.

Find LCM of 547,225,873,970 with Prime Factorization


3 547, 225, 873, 970
3 547, 75, 291, 970
5 547, 25, 97, 970
97 547, 5, 97, 194
547, 5, 1, 2

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

3 x 3 x 5 x 97 x 547 x 5 x 1 x 2 = 23876550

Therefore, the lowest common multiple of 547,225,873,970 is 23876550.

LCM Formula to Find Lowest Common Multiple of 547,225,873,970

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.

547 x 225 x 873 x 970 = 104221140750

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.

547 : 1, 547

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

873 : 1, 3, 9, 97, 291, 873

970 : 1, 2, 5, 10, 97, 194, 485, 970

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,225,873,970, is 1.

Now, the common factors can be found like this.

547:547

225:3x 3x 5x 5

873:3x 3x 97

970:2x 5x 97

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 97 = 4365

Therefore, the value for common factors is 4365.

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 = 104221140750/(1x4365)

LCM = 104221140750/4365

LCM = 23876550

Thus, we can understand that the LCM of 547,225,873,970 is 23876550.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 547, 225, 873, 970

1. What is the LCM of 547, 225, 873, 970?

Answer: LCM of 547, 225, 873, 970 is 23876550.

2. How to calculate the LCM of 547, 225, 873, 970?

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 547, 225, 873, 970.

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}.