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LCM of 777, 148, 191, 686

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


Find the LCM of 777, 148, 191, 686 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, 148, 191, 686. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 777,148,191,686

Given numbers are 777,148,191,686

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

The LCM of 777,148,191,686 is 29087772.

Find LCM of 777,148,191,686 with Prime Factorization


2 777, 148, 191, 686
7 777, 74, 191, 343
37 111, 74, 191, 49
3, 2, 191, 49

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

2 x 7 x 37 x 3 x 2 x 191 x 49 = 29087772

Therefore, the lowest common multiple of 777,148,191,686 is 29087772.

LCM Formula to Find Lowest Common Multiple of 777,148,191,686

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 148 x 191 x 686 = 15067465896

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

148 : 1, 2, 4, 37, 74, 148

191 : 1, 191

686 : 1, 2, 7, 14, 49, 98, 343, 686

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,148,191,686, is 1.

Now, the common factors can be found like this.

777:3x 7x 37

148:2x 2x 37

191:191

686:2x 7x 7x 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 7x 37 = 518

Therefore, the value for common factors is 518.

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 = 15067465896/(1x518)

LCM = 15067465896/518

LCM = 29087772

Thus, we can understand that the LCM of 777,148,191,686 is 29087772.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 777, 148, 191, 686

1. What is the LCM of 777, 148, 191, 686?

Answer: LCM of 777, 148, 191, 686 is 29087772.

2. How to calculate the LCM of 777, 148, 191, 686?

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, 148, 191, 686.

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}.