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LCM of 854, 228, 872

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


Find the LCM of 854, 228, 872 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 854, 228, 872. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 854,228,872

Given numbers are 854,228,872

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

The LCM of 854,228,872 is 21223608.

Find LCM of 854,228,872 with Prime Factorization


2 854, 228, 872
2 427, 114, 436
427, 57, 218

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

2 x 2 x 427 x 57 x 218 = 21223608

Therefore, the lowest common multiple of 854,228,872 is 21223608.

LCM Formula to Find Lowest Common Multiple of 854,228,872

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.

854 x 228 x 872 = 169788864

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.

854 : 1, 2, 7, 14, 61, 122, 427, 854

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,228,872, is 2.

Now, the common factors can be found like this.

854:2x 7x 61

228:2x 2x 3x 19

872:2x 2x 2x 109

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 169788864/(2x4)

LCM = 169788864/8

LCM = 21223608

Thus, we can understand that the LCM of 854,228,872 is 21223608.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 854, 228, 872

1. What is the LCM of 854, 228, 872?

Answer: LCM of 854, 228, 872 is 21223608.

2. How to calculate the LCM of 854, 228, 872?

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 854, 228, 872.

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}.