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LCM of 447, 470, 332, 180

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


Find the LCM of 447, 470, 332, 180 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 447, 470, 332, 180. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 447,470,332,180

Given numbers are 447,470,332,180

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

The LCM of 447,470,332,180 is 104624820.

Find LCM of 447,470,332,180 with Prime Factorization


2 447, 470, 332, 180
2 447, 235, 166, 90
3 447, 235, 83, 45
5 149, 235, 83, 15
149, 47, 83, 3

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

2 x 2 x 3 x 5 x 149 x 47 x 83 x 3 = 104624820

Therefore, the lowest common multiple of 447,470,332,180 is 104624820.

LCM Formula to Find Lowest Common Multiple of 447,470,332,180

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.

447 x 470 x 332 x 180 = 12554978400

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.

447 : 1, 3, 149, 447

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

332 : 1, 2, 4, 83, 166, 332

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,470,332,180, is 1.

Now, the common factors can be found like this.

447:3x 149

470:2x 5x 47

332:2x 2x 83

180:2x 2x 3x 3x 5

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

2x 2x 2x 3x 5 = 120

Therefore, the value for common factors is 120.

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 = 12554978400/(1x120)

LCM = 12554978400/120

LCM = 104624820

Thus, we can understand that the LCM of 447,470,332,180 is 104624820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 447, 470, 332, 180

1. What is the LCM of 447, 470, 332, 180?

Answer: LCM of 447, 470, 332, 180 is 104624820.

2. How to calculate the LCM of 447, 470, 332, 180?

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 447, 470, 332, 180.

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}.