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LCM of 909, 156, 939, 273

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


Find the LCM of 909, 156, 939, 273 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 909, 156, 939, 273. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 909,156,939,273

Given numbers are 909,156,939,273

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

The LCM of 909,156,939,273 is 103564188.

Find LCM of 909,156,939,273 with Prime Factorization


3 909, 156, 939, 273
13 303, 52, 313, 91
303, 4, 313, 7

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

3 x 13 x 303 x 4 x 313 x 7 = 103564188

Therefore, the lowest common multiple of 909,156,939,273 is 103564188.

LCM Formula to Find Lowest Common Multiple of 909,156,939,273

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.

909 x 156 x 939 x 273 = 36351029988

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.

909 : 1, 3, 9, 101, 303, 909

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

939 : 1, 3, 313, 939

273 : 1, 3, 7, 13, 21, 39, 91, 273

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,156,939,273, is 3.

Now, the common factors can be found like this.

909:3x 3x 101

156:2x 2x 3x 13

939:3x 313

273:3x 7x 13

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 13 = 117

Therefore, the value for common factors is 117.

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 = 36351029988/(3x117)

LCM = 36351029988/351

LCM = 103564188

Thus, we can understand that the LCM of 909,156,939,273 is 103564188.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 909, 156, 939, 273

1. What is the LCM of 909, 156, 939, 273?

Answer: LCM of 909, 156, 939, 273 is 103564188.

2. How to calculate the LCM of 909, 156, 939, 273?

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 909, 156, 939, 273.

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}.