LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 676, 777, 353, 706

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


Find the LCM of 676, 777, 353, 706 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 676, 777, 353, 706. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 676,777,353,706

Given numbers are 676,777,353,706

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

The LCM of 676,777,353,706 is 185413956.

Find LCM of 676,777,353,706 with Prime Factorization


2 676, 777, 353, 706
353 338, 777, 353, 353
338, 777, 1, 1

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

2 x 353 x 338 x 777 x 1 x 1 = 185413956

Therefore, the lowest common multiple of 676,777,353,706 is 185413956.

LCM Formula to Find Lowest Common Multiple of 676,777,353,706

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.

676 x 777 x 353 x 706 = 130902252936

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

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

353 : 1, 353

706 : 1, 2, 353, 706

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,777,353,706, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

777:3x 7x 37

353:353

706:2x 353

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

2x 353 = 706

Therefore, the value for common factors is 706.

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 = 130902252936/(1x706)

LCM = 130902252936/706

LCM = 185413956

Thus, we can understand that the LCM of 676,777,353,706 is 185413956.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 676, 777, 353, 706

1. What is the LCM of 676, 777, 353, 706?

Answer: LCM of 676, 777, 353, 706 is 185413956.

2. How to calculate the LCM of 676, 777, 353, 706?

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 676, 777, 353, 706.

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}.