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LCM of 107, 182, 906, 804, 728

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


Find the LCM of 107, 182, 906, 804, 728 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, 182, 906, 804, 728. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 107,182,906,804,728

Given numbers are 107,182,906,804,728

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

The LCM of 107,182,906,804,728 is 2364221496.

Find LCM of 107,182,906,804,728 with Prime Factorization


2 107, 182, 906, 804, 728
2 107, 91, 453, 402, 364
3 107, 91, 453, 201, 182
7 107, 91, 151, 67, 182
13 107, 13, 151, 67, 26
107, 1, 151, 67, 2

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

2 x 2 x 3 x 7 x 13 x 107 x 1 x 151 x 67 x 2 = 2364221496

Therefore, the lowest common multiple of 107,182,906,804,728 is 2364221496.

LCM Formula to Find Lowest Common Multiple of 107,182,906,804,728

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 182 x 906 x 804 x 728 = 10326919494528

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

182 : 1, 2, 7, 13, 14, 26, 91, 182

906 : 1, 2, 3, 6, 151, 302, 453, 906

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,182,906,804,728, is 1.

Now, the common factors can be found like this.

107:107

182:2x 7x 13

906:2x 3x 151

804:2x 2x 3x 67

728:2x 2x 2x 7x 13

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 2x 3x 7x 13 = 4368

Therefore, the value for common factors is 4368.

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 = 10326919494528/(1x4368)

LCM = 10326919494528/4368

LCM = 2364221496

Thus, we can understand that the LCM of 107,182,906,804,728 is 2364221496.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 107, 182, 906, 804, 728

1. What is the LCM of 107, 182, 906, 804, 728?

Answer: LCM of 107, 182, 906, 804, 728 is 2364221496.

2. How to calculate the LCM of 107, 182, 906, 804, 728?

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, 182, 906, 804, 728.

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}.