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LCM of 777, 242, 809, 962

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


Find the LCM of 777, 242, 809, 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 777, 242, 809, 962. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 777,242,809,962

Given numbers are 777,242,809,962

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

The LCM of 777,242,809,962 is 1977553578.

Find LCM of 777,242,809,962 with Prime Factorization


2 777, 242, 809, 962
37 777, 121, 809, 481
21, 121, 809, 13

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

2 x 37 x 21 x 121 x 809 x 13 = 1977553578

Therefore, the lowest common multiple of 777,242,809,962 is 1977553578.

LCM Formula to Find Lowest Common Multiple of 777,242,809,962

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.

777 x 242 x 809 x 962 = 146338964772

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

242 : 1, 2, 11, 22, 121, 242

809 : 1, 809

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 777,242,809,962, is 1.

Now, the common factors can be found like this.

777:3x 7x 37

242:2x 11x 11

809:809

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 37 = 74

Therefore, the value for common factors is 74.

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 = 146338964772/(1x74)

LCM = 146338964772/74

LCM = 1977553578

Thus, we can understand that the LCM of 777,242,809,962 is 1977553578.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 777, 242, 809, 962

1. What is the LCM of 777, 242, 809, 962?

Answer: LCM of 777, 242, 809, 962 is 1977553578.

2. How to calculate the LCM of 777, 242, 809, 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 777, 242, 809, 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}.