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LCM of 977, 998, 818, 777

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


Find the LCM of 977, 998, 818, 777 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 977, 998, 818, 777. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 977,998,818,777

Given numbers are 977,998,818,777

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

The LCM of 977,998,818,777 is 309862793478.

Find LCM of 977,998,818,777 with Prime Factorization


2 977, 998, 818, 777
977, 499, 409, 777

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

2 x 977 x 499 x 409 x 777 = 309862793478

Therefore, the lowest common multiple of 977,998,818,777 is 309862793478.

LCM Formula to Find Lowest Common Multiple of 977,998,818,777

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.

977 x 998 x 818 x 777 = 619725586956

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.

977 : 1, 977

998 : 1, 2, 499, 998

818 : 1, 2, 409, 818

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,998,818,777, is 1.

Now, the common factors can be found like this.

977:977

998:2x 499

818:2x 409

777:3x 7x 37

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

2 = 2

Therefore, the value for common factors is 2.

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 = 619725586956/(1x2)

LCM = 619725586956/2

LCM = 309862793478

Thus, we can understand that the LCM of 977,998,818,777 is 309862793478.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 977, 998, 818, 777

1. What is the LCM of 977, 998, 818, 777?

Answer: LCM of 977, 998, 818, 777 is 309862793478.

2. How to calculate the LCM of 977, 998, 818, 777?

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 977, 998, 818, 777.

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}.