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LCM of 558, 245, 872, 983, 533

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


Find the LCM of 558, 245, 872, 983, 533 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 558, 245, 872, 983, 533. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 558,245,872,983,533

Given numbers are 558,245,872,983,533

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

The LCM of 558,245,872,983,533 is 31229677500840.

Find LCM of 558,245,872,983,533 with Prime Factorization


2 558, 245, 872, 983, 533
279, 245, 436, 983, 533

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

2 x 279 x 245 x 436 x 983 x 533 = 31229677500840

Therefore, the lowest common multiple of 558,245,872,983,533 is 31229677500840.

LCM Formula to Find Lowest Common Multiple of 558,245,872,983,533

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.

558 x 245 x 872 x 983 x 533 = 62459355001680

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.

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

245 : 1, 5, 7, 35, 49, 245

872 : 1, 2, 4, 8, 109, 218, 436, 872

983 : 1, 983

533 : 1, 13, 41, 533

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,245,872,983,533, is 1.

Now, the common factors can be found like this.

558:2x 3x 3x 31

245:5x 7x 7

872:2x 2x 2x 109

983:983

533:13x 41

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

2 = 2

Therefore, the value for common factors is 2.

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 = 62459355001680/(1x2)

LCM = 62459355001680/2

LCM = 31229677500840

Thus, we can understand that the LCM of 558,245,872,983,533 is 31229677500840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 558, 245, 872, 983, 533

1. What is the LCM of 558, 245, 872, 983, 533?

Answer: LCM of 558, 245, 872, 983, 533 is 31229677500840.

2. How to calculate the LCM of 558, 245, 872, 983, 533?

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 558, 245, 872, 983, 533.

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}.