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LCM of 189, 753, 753, 529

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


Find the LCM of 189, 753, 753, 529 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 189, 753, 753, 529. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 189,753,753,529

Given numbers are 189,753,753,529

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

The LCM of 189,753,753,529 is 25095231.

Find LCM of 189,753,753,529 with Prime Factorization


3 189, 753, 753, 529
251 63, 251, 251, 529
63, 1, 1, 529

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

3 x 251 x 63 x 1 x 1 x 529 = 25095231

Therefore, the lowest common multiple of 189,753,753,529 is 25095231.

LCM Formula to Find Lowest Common Multiple of 189,753,753,529

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.

189 x 753 x 753 x 529 = 56690126829

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.

189 : 1, 3, 7, 9, 21, 27, 63, 189

753 : 1, 3, 251, 753

753 : 1, 3, 251, 753

529 : 1, 23, 529

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,753,753,529, is 1.

Now, the common factors can be found like this.

189:3x 3x 3x 7

753:3x 251

753:3x 251

529:23x 23

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 251 = 2259

Therefore, the value for common factors is 2259.

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 = 56690126829/(1x2259)

LCM = 56690126829/2259

LCM = 25095231

Thus, we can understand that the LCM of 189,753,753,529 is 25095231.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 189, 753, 753, 529

1. What is the LCM of 189, 753, 753, 529?

Answer: LCM of 189, 753, 753, 529 is 25095231.

2. How to calculate the LCM of 189, 753, 753, 529?

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 189, 753, 753, 529.

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}.