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LCM of 777, 797, 588, 912, 126

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


Find the LCM of 777, 797, 588, 912, 126 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 777, 797, 588, 912, 126. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 777,797,588,912,126

Given numbers are 777,797,588,912,126

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

The LCM of 777,797,588,912,126 is 3953413296.

Find LCM of 777,797,588,912,126 with Prime Factorization


2 777, 797, 588, 912, 126
2 777, 797, 294, 456, 63
3 777, 797, 147, 228, 63
7 259, 797, 49, 76, 21
37, 797, 7, 76, 3

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

2 x 2 x 3 x 7 x 37 x 797 x 7 x 76 x 3 = 3953413296

Therefore, the lowest common multiple of 777,797,588,912,126 is 3953413296.

LCM Formula to Find Lowest Common Multiple of 777,797,588,912,126

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.

777 x 797 x 588 x 912 x 126 = 41842926324864

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.

777 : 1, 3, 7, 21, 37, 111, 259, 777

797 : 1, 797

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,797,588,912,126, is 1.

Now, the common factors can be found like this.

777:3x 7x 37

797:797

588:2x 2x 3x 7x 7

912:2x 2x 2x 2x 3x 19

126:2x 3x 3x 7

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 3x 3x 3x 7x 7 = 10584

Therefore, the value for common factors is 10584.

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 = 41842926324864/(1x10584)

LCM = 41842926324864/10584

LCM = 3953413296

Thus, we can understand that the LCM of 777,797,588,912,126 is 3953413296.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 777, 797, 588, 912, 126

1. What is the LCM of 777, 797, 588, 912, 126?

Answer: LCM of 777, 797, 588, 912, 126 is 3953413296.

2. How to calculate the LCM of 777, 797, 588, 912, 126?

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 777, 797, 588, 912, 126.

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}.