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LCM of 466, 66, 882

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


Find the LCM of 466, 66, 882 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, 66, 882. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 466,66,882

Given numbers are 466,66,882

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

The LCM of 466,66,882 is 2260566.

Find LCM of 466,66,882 with Prime Factorization


2 466, 66, 882
3 233, 33, 441
233, 11, 147

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

2 x 3 x 233 x 11 x 147 = 2260566

Therefore, the lowest common multiple of 466,66,882 is 2260566.

LCM Formula to Find Lowest Common Multiple of 466,66,882

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 66 x 882 = 27126792

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

66 : 1, 2, 3, 6, 11, 22, 33, 66

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,66,882, is 2.

Now, the common factors can be found like this.

466:2x 233

66:2x 3x 11

882:2x 3x 3x 7x 7

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 27126792/(2x6)

LCM = 27126792/12

LCM = 2260566

Thus, we can understand that the LCM of 466,66,882 is 2260566.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 466, 66, 882

1. What is the LCM of 466, 66, 882?

Answer: LCM of 466, 66, 882 is 2260566.

2. How to calculate the LCM of 466, 66, 882?

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, 66, 882.

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}.