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LCM of 466, 804, 206, 397

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


Find the LCM of 466, 804, 206, 397 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, 804, 206, 397. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 466,804,206,397

Given numbers are 466,804,206,397

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

The LCM of 466,804,206,397 is 7660192812.

Find LCM of 466,804,206,397 with Prime Factorization


2 466, 804, 206, 397
233, 402, 103, 397

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

2 x 233 x 402 x 103 x 397 = 7660192812

Therefore, the lowest common multiple of 466,804,206,397 is 7660192812.

LCM Formula to Find Lowest Common Multiple of 466,804,206,397

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 804 x 206 x 397 = 30640771248

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

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

206 : 1, 2, 103, 206

397 : 1, 397

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,804,206,397, is 1.

Now, the common factors can be found like this.

466:2x 233

804:2x 2x 3x 67

206:2x 103

397:397

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 30640771248/(1x4)

LCM = 30640771248/4

LCM = 7660192812

Thus, we can understand that the LCM of 466,804,206,397 is 7660192812.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 466, 804, 206, 397

1. What is the LCM of 466, 804, 206, 397?

Answer: LCM of 466, 804, 206, 397 is 7660192812.

2. How to calculate the LCM of 466, 804, 206, 397?

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, 804, 206, 397.

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}.