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LCM of 107, 256, 104, 437, 897

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


Find the LCM of 107, 256, 104, 437, 897 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 107, 256, 104, 437, 897. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 107,256,104,437,897

Given numbers are 107,256,104,437,897

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

The LCM of 107,256,104,437,897 is 466841856.

Find LCM of 107,256,104,437,897 with Prime Factorization


2 107, 256, 104, 437, 897
2 107, 128, 52, 437, 897
2 107, 64, 26, 437, 897
13 107, 32, 13, 437, 897
23 107, 32, 1, 437, 69
107, 32, 1, 19, 3

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

2 x 2 x 2 x 13 x 23 x 107 x 32 x 1 x 19 x 3 = 466841856

Therefore, the lowest common multiple of 107,256,104,437,897 is 466841856.

LCM Formula to Find Lowest Common Multiple of 107,256,104,437,897

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.

107 x 256 x 104 x 437 x 897 = 1116685719552

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.

107 : 1, 107

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

437 : 1, 19, 23, 437

897 : 1, 3, 13, 23, 39, 69, 299, 897

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,256,104,437,897, is 1.

Now, the common factors can be found like this.

107:107

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

104:2x 2x 2x 13

437:19x 23

897:3x 13x 23

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

2x 2x 2x 13x 23 = 2392

Therefore, the value for common factors is 2392.

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 = 1116685719552/(1x2392)

LCM = 1116685719552/2392

LCM = 466841856

Thus, we can understand that the LCM of 107,256,104,437,897 is 466841856.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 107, 256, 104, 437, 897

1. What is the LCM of 107, 256, 104, 437, 897?

Answer: LCM of 107, 256, 104, 437, 897 is 466841856.

2. How to calculate the LCM of 107, 256, 104, 437, 897?

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 107, 256, 104, 437, 897.

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}.