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LCM of 865, 946, 256, 923

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


Find the LCM of 865, 946, 256, 923 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 865, 946, 256, 923. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 865,946,256,923

Given numbers are 865,946,256,923

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

The LCM of 865,946,256,923 is 96676053760.

Find LCM of 865,946,256,923 with Prime Factorization


2 865, 946, 256, 923
865, 473, 128, 923

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

2 x 865 x 473 x 128 x 923 = 96676053760

Therefore, the lowest common multiple of 865,946,256,923 is 96676053760.

LCM Formula to Find Lowest Common Multiple of 865,946,256,923

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.

865 x 946 x 256 x 923 = 193352107520

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.

865 : 1, 5, 173, 865

946 : 1, 2, 11, 22, 43, 86, 473, 946

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

923 : 1, 13, 71, 923

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 865,946,256,923, is 1.

Now, the common factors can be found like this.

865:5x 173

946:2x 11x 43

256:2x 2x 2x 2x 2x 2x 2x 2

923:13x 71

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

2 = 2

Therefore, the value for common factors is 2.

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 = 193352107520/(1x2)

LCM = 193352107520/2

LCM = 96676053760

Thus, we can understand that the LCM of 865,946,256,923 is 96676053760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 865, 946, 256, 923

1. What is the LCM of 865, 946, 256, 923?

Answer: LCM of 865, 946, 256, 923 is 96676053760.

2. How to calculate the LCM of 865, 946, 256, 923?

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 865, 946, 256, 923.

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}.