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LCM of 477, 777, 604, 329

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


Find the LCM of 477, 777, 604, 329 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 477, 777, 604, 329. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 477,777,604,329

Given numbers are 477,777,604,329

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

The LCM of 477,777,604,329 is 3507138684.

Find LCM of 477,777,604,329 with Prime Factorization


3 477, 777, 604, 329
7 159, 259, 604, 329
159, 37, 604, 47

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

3 x 7 x 159 x 37 x 604 x 47 = 3507138684

Therefore, the lowest common multiple of 477,777,604,329 is 3507138684.

LCM Formula to Find Lowest Common Multiple of 477,777,604,329

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.

477 x 777 x 604 x 329 = 73649912364

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.

477 : 1, 3, 9, 53, 159, 477

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

604 : 1, 2, 4, 151, 302, 604

329 : 1, 7, 47, 329

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,777,604,329, is 1.

Now, the common factors can be found like this.

477:3x 3x 53

777:3x 7x 37

604:2x 2x 151

329:7x 47

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

3x 7 = 21

Therefore, the value for common factors is 21.

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 = 73649912364/(1x21)

LCM = 73649912364/21

LCM = 3507138684

Thus, we can understand that the LCM of 477,777,604,329 is 3507138684.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 477, 777, 604, 329

1. What is the LCM of 477, 777, 604, 329?

Answer: LCM of 477, 777, 604, 329 is 3507138684.

2. How to calculate the LCM of 477, 777, 604, 329?

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 477, 777, 604, 329.

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}.