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LCM of 269, 763, 219, 909, 876

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


Find the LCM of 269, 763, 219, 909, 876 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 269, 763, 219, 909, 876. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 269,763,219,909,876

Given numbers are 269,763,219,909,876

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

The LCM of 269,763,219,909,876 is 54478300716.

Find LCM of 269,763,219,909,876 with Prime Factorization


3 269, 763, 219, 909, 876
73 269, 763, 73, 303, 292
269, 763, 1, 303, 4

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

3 x 73 x 269 x 763 x 1 x 303 x 4 = 54478300716

Therefore, the lowest common multiple of 269,763,219,909,876 is 54478300716.

LCM Formula to Find Lowest Common Multiple of 269,763,219,909,876

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.

269 x 763 x 219 x 909 x 876 = 35792243570412

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.

269 : 1, 269

763 : 1, 7, 109, 763

219 : 1, 3, 73, 219

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

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,763,219,909,876, is 1.

Now, the common factors can be found like this.

269:269

763:7x 109

219:3x 73

909:3x 3x 101

876:2x 2x 3x 73

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 73 = 657

Therefore, the value for common factors is 657.

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 = 35792243570412/(1x657)

LCM = 35792243570412/657

LCM = 54478300716

Thus, we can understand that the LCM of 269,763,219,909,876 is 54478300716.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 269, 763, 219, 909, 876

1. What is the LCM of 269, 763, 219, 909, 876?

Answer: LCM of 269, 763, 219, 909, 876 is 54478300716.

2. How to calculate the LCM of 269, 763, 219, 909, 876?

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 269, 763, 219, 909, 876.

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}.