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LCM of 263, 109, 872, 369

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


Find the LCM of 263, 109, 872, 369 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 263, 109, 872, 369. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 263,109,872,369

Given numbers are 263,109,872,369

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

The LCM of 263,109,872,369 is 84624984.

Find LCM of 263,109,872,369 with Prime Factorization


109 263, 109, 872, 369
263, 1, 8, 369

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

109 x 263 x 1 x 8 x 369 = 84624984

Therefore, the lowest common multiple of 263,109,872,369 is 84624984.

LCM Formula to Find Lowest Common Multiple of 263,109,872,369

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.

263 x 109 x 872 x 369 = 9224123256

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.

263 : 1, 263

109 : 1, 109

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

369 : 1, 3, 9, 41, 123, 369

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 263,109,872,369, is 1.

Now, the common factors can be found like this.

263:263

109:109

872:2x 2x 2x 109

369:3x 3x 41

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

109 = 109

Therefore, the value for common factors is 109.

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 = 9224123256/(1x109)

LCM = 9224123256/109

LCM = 84624984

Thus, we can understand that the LCM of 263,109,872,369 is 84624984.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 263, 109, 872, 369

1. What is the LCM of 263, 109, 872, 369?

Answer: LCM of 263, 109, 872, 369 is 84624984.

2. How to calculate the LCM of 263, 109, 872, 369?

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 263, 109, 872, 369.

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}.