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LCM of 447, 812, 491, 203

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


Find the LCM of 447, 812, 491, 203 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, 812, 491, 203. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 447,812,491,203

Given numbers are 447,812,491,203

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

The LCM of 447,812,491,203 is 178215324.

Find LCM of 447,812,491,203 with Prime Factorization


7 447, 812, 491, 203
29 447, 116, 491, 29
447, 4, 491, 1

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

7 x 29 x 447 x 4 x 491 x 1 = 178215324

Therefore, the lowest common multiple of 447,812,491,203 is 178215324.

LCM Formula to Find Lowest Common Multiple of 447,812,491,203

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 812 x 491 x 203 = 36177710772

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

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

491 : 1, 491

203 : 1, 7, 29, 203

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,812,491,203, is 1.

Now, the common factors can be found like this.

447:3x 149

812:2x 2x 7x 29

491:491

203:7x 29

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

7x 29 = 203

Therefore, the value for common factors is 203.

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 = 36177710772/(1x203)

LCM = 36177710772/203

LCM = 178215324

Thus, we can understand that the LCM of 447,812,491,203 is 178215324.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 447, 812, 491, 203

1. What is the LCM of 447, 812, 491, 203?

Answer: LCM of 447, 812, 491, 203 is 178215324.

2. How to calculate the LCM of 447, 812, 491, 203?

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, 812, 491, 203.

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}.