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LCM of 107, 856, 727, 416, 962

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


Find the LCM of 107, 856, 727, 416, 962 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, 856, 727, 416, 962. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 107,856,727,416,962

Given numbers are 107,856,727,416,962

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

The LCM of 107,856,727,416,962 is 1197328288.

Find LCM of 107,856,727,416,962 with Prime Factorization


2 107, 856, 727, 416, 962
2 107, 428, 727, 208, 481
2 107, 214, 727, 104, 481
13 107, 107, 727, 52, 481
107 107, 107, 727, 4, 37
1, 1, 727, 4, 37

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

2 x 2 x 2 x 13 x 107 x 1 x 1 x 727 x 4 x 37 = 1197328288

Therefore, the lowest common multiple of 107,856,727,416,962 is 1197328288.

LCM Formula to Find Lowest Common Multiple of 107,856,727,416,962

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 856 x 727 x 416 x 962 = 26647738377728

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

856 : 1, 2, 4, 8, 107, 214, 428, 856

727 : 1, 727

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

962 : 1, 2, 13, 26, 37, 74, 481, 962

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,856,727,416,962, is 1.

Now, the common factors can be found like this.

107:107

856:2x 2x 2x 107

727:727

416:2x 2x 2x 2x 2x 13

962:2x 13x 37

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 13x 107 = 22256

Therefore, the value for common factors is 22256.

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 = 26647738377728/(1x22256)

LCM = 26647738377728/22256

LCM = 1197328288

Thus, we can understand that the LCM of 107,856,727,416,962 is 1197328288.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 107, 856, 727, 416, 962

1. What is the LCM of 107, 856, 727, 416, 962?

Answer: LCM of 107, 856, 727, 416, 962 is 1197328288.

2. How to calculate the LCM of 107, 856, 727, 416, 962?

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, 856, 727, 416, 962.

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}.