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LCM of 466, 613, 218, 331

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


Find the LCM of 466, 613, 218, 331 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 466, 613, 218, 331. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 466,613,218,331

Given numbers are 466,613,218,331

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

The LCM of 466,613,218,331 is 10306254982.

Find LCM of 466,613,218,331 with Prime Factorization


2 466, 613, 218, 331
233, 613, 109, 331

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

2 x 233 x 613 x 109 x 331 = 10306254982

Therefore, the lowest common multiple of 466,613,218,331 is 10306254982.

LCM Formula to Find Lowest Common Multiple of 466,613,218,331

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.

466 x 613 x 218 x 331 = 20612509964

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.

466 : 1, 2, 233, 466

613 : 1, 613

218 : 1, 2, 109, 218

331 : 1, 331

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,613,218,331, is 1.

Now, the common factors can be found like this.

466:2x 233

613:613

218:2x 109

331:331

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 = 20612509964/(1x2)

LCM = 20612509964/2

LCM = 10306254982

Thus, we can understand that the LCM of 466,613,218,331 is 10306254982.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 466, 613, 218, 331

1. What is the LCM of 466, 613, 218, 331?

Answer: LCM of 466, 613, 218, 331 is 10306254982.

2. How to calculate the LCM of 466, 613, 218, 331?

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 466, 613, 218, 331.

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}.