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LCM of 470, 935, 604, 311

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


Find the LCM of 470, 935, 604, 311 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 470, 935, 604, 311. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 470,935,604,311

Given numbers are 470,935,604,311

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

The LCM of 470,935,604,311 is 8254804580.

Find LCM of 470,935,604,311 with Prime Factorization


2 470, 935, 604, 311
5 235, 935, 302, 311
47, 187, 302, 311

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

2 x 5 x 47 x 187 x 302 x 311 = 8254804580

Therefore, the lowest common multiple of 470,935,604,311 is 8254804580.

LCM Formula to Find Lowest Common Multiple of 470,935,604,311

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.

470 x 935 x 604 x 311 = 82548045800

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.

470 : 1, 2, 5, 10, 47, 94, 235, 470

935 : 1, 5, 11, 17, 55, 85, 187, 935

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

311 : 1, 311

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,935,604,311, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

935:5x 11x 17

604:2x 2x 151

311:311

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 82548045800/(1x10)

LCM = 82548045800/10

LCM = 8254804580

Thus, we can understand that the LCM of 470,935,604,311 is 8254804580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 470, 935, 604, 311

1. What is the LCM of 470, 935, 604, 311?

Answer: LCM of 470, 935, 604, 311 is 8254804580.

2. How to calculate the LCM of 470, 935, 604, 311?

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 470, 935, 604, 311.

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}.