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LCM of 105, 539, 637, 233

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


Find the LCM of 105, 539, 637, 233 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 105, 539, 637, 233. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 105,539,637,233

Given numbers are 105,539,637,233

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

The LCM of 105,539,637,233 is 24489465.

Find LCM of 105,539,637,233 with Prime Factorization


7 105, 539, 637, 233
7 15, 77, 91, 233
15, 11, 13, 233

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

7 x 7 x 15 x 11 x 13 x 233 = 24489465

Therefore, the lowest common multiple of 105,539,637,233 is 24489465.

LCM Formula to Find Lowest Common Multiple of 105,539,637,233

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.

105 x 539 x 637 x 233 = 8399886495

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.

105 : 1, 3, 5, 7, 15, 21, 35, 105

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

637 : 1, 7, 13, 49, 91, 637

233 : 1, 233

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,539,637,233, is 1.

Now, the common factors can be found like this.

105:3x 5x 7

539:7x 7x 11

637:7x 7x 13

233:233

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 = 8399886495/(1x343)

LCM = 8399886495/343

LCM = 24489465

Thus, we can understand that the LCM of 105,539,637,233 is 24489465.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 105, 539, 637, 233

1. What is the LCM of 105, 539, 637, 233?

Answer: LCM of 105, 539, 637, 233 is 24489465.

2. How to calculate the LCM of 105, 539, 637, 233?

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 105, 539, 637, 233.

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}.