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LCM of 547, 802, 548, 548, 433

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


Find the LCM of 547, 802, 548, 548, 433 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, 802, 548, 548, 433. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 547,802,548,548,433

Given numbers are 547,802,548,548,433

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

The LCM of 547,802,548,548,433 is 52047533548.

Find LCM of 547,802,548,548,433 with Prime Factorization


2 547, 802, 548, 548, 433
2 547, 401, 274, 274, 433
137 547, 401, 137, 137, 433
547, 401, 1, 1, 433

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

2 x 2 x 137 x 547 x 401 x 1 x 1 x 433 = 52047533548

Therefore, the lowest common multiple of 547,802,548,548,433 is 52047533548.

LCM Formula to Find Lowest Common Multiple of 547,802,548,548,433

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 802 x 548 x 548 x 433 = 57044096768608

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

802 : 1, 2, 401, 802

548 : 1, 2, 4, 137, 274, 548

548 : 1, 2, 4, 137, 274, 548

433 : 1, 433

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,802,548,548,433, is 1.

Now, the common factors can be found like this.

547:547

802:2x 401

548:2x 2x 137

548:2x 2x 137

433:433

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

2x 2x 2x 137 = 1096

Therefore, the value for common factors is 1096.

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 = 57044096768608/(1x1096)

LCM = 57044096768608/1096

LCM = 52047533548

Thus, we can understand that the LCM of 547,802,548,548,433 is 52047533548.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 547, 802, 548, 548, 433

1. What is the LCM of 547, 802, 548, 548, 433?

Answer: LCM of 547, 802, 548, 548, 433 is 52047533548.

2. How to calculate the LCM of 547, 802, 548, 548, 433?

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, 802, 548, 548, 433.

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}.