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LCM of 225, 273, 269, 879, 879

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


Find the LCM of 225, 273, 269, 879, 879 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 225, 273, 269, 879, 879. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 225,273,269,879,879

Given numbers are 225,273,269,879,879

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

The LCM of 225,273,269,879,879 is 1613778075.

Find LCM of 225,273,269,879,879 with Prime Factorization


3 225, 273, 269, 879, 879
293 75, 91, 269, 293, 293
75, 91, 269, 1, 1

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

3 x 293 x 75 x 91 x 269 x 1 x 1 = 1613778075

Therefore, the lowest common multiple of 225,273,269,879,879 is 1613778075.

LCM Formula to Find Lowest Common Multiple of 225,273,269,879,879

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.

225 x 273 x 269 x 879 x 879 = 12766598351325

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.

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

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

269 : 1, 269

879 : 1, 3, 293, 879

879 : 1, 3, 293, 879

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 225,273,269,879,879, is 1.

Now, the common factors can be found like this.

225:3x 3x 5x 5

273:3x 7x 13

269:269

879:3x 293

879:3x 293

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 3x 293 = 7911

Therefore, the value for common factors is 7911.

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 = 12766598351325/(1x7911)

LCM = 12766598351325/7911

LCM = 1613778075

Thus, we can understand that the LCM of 225,273,269,879,879 is 1613778075.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 225, 273, 269, 879, 879

1. What is the LCM of 225, 273, 269, 879, 879?

Answer: LCM of 225, 273, 269, 879, 879 is 1613778075.

2. How to calculate the LCM of 225, 273, 269, 879, 879?

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 225, 273, 269, 879, 879.

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}.