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LCM of 485, 441, 539, 133

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


Find the LCM of 485, 441, 539, 133 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 485, 441, 539, 133. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 485,441,539,133

Given numbers are 485,441,539,133

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

The LCM of 485,441,539,133 is 44701965.

Find LCM of 485,441,539,133 with Prime Factorization


7 485, 441, 539, 133
7 485, 63, 77, 19
485, 9, 11, 19

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

7 x 7 x 485 x 9 x 11 x 19 = 44701965

Therefore, the lowest common multiple of 485,441,539,133 is 44701965.

LCM Formula to Find Lowest Common Multiple of 485,441,539,133

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.

485 x 441 x 539 x 133 = 15332773995

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.

485 : 1, 5, 97, 485

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

539 : 1, 7, 11, 49, 77, 539

133 : 1, 7, 19, 133

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 485,441,539,133, is 1.

Now, the common factors can be found like this.

485:5x 97

441:3x 3x 7x 7

539:7x 7x 11

133:7x 19

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

7x 7x 7 = 343

Therefore, the value for common factors is 343.

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 = 15332773995/(1x343)

LCM = 15332773995/343

LCM = 44701965

Thus, we can understand that the LCM of 485,441,539,133 is 44701965.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 485, 441, 539, 133

1. What is the LCM of 485, 441, 539, 133?

Answer: LCM of 485, 441, 539, 133 is 44701965.

2. How to calculate the LCM of 485, 441, 539, 133?

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 485, 441, 539, 133.

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}.