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LCM of 432, 627, 463, 669, 669

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


Find the LCM of 432, 627, 463, 669, 669 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 432, 627, 463, 669, 669. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 432,627,463,669,669

Given numbers are 432,627,463,669,669

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

The LCM of 432,627,463,669,669 is 9322145712.

Find LCM of 432,627,463,669,669 with Prime Factorization


3 432, 627, 463, 669, 669
223 144, 209, 463, 223, 223
144, 209, 463, 1, 1

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

3 x 223 x 144 x 209 x 463 x 1 x 1 = 9322145712

Therefore, the lowest common multiple of 432,627,463,669,669 is 9322145712.

LCM Formula to Find Lowest Common Multiple of 432,627,463,669,669

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.

432 x 627 x 463 x 669 x 669 = 56128639331952

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.

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

627 : 1, 3, 11, 19, 33, 57, 209, 627

463 : 1, 463

669 : 1, 3, 223, 669

669 : 1, 3, 223, 669

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,627,463,669,669, is 1.

Now, the common factors can be found like this.

432:2x 2x 2x 2x 3x 3x 3

627:3x 11x 19

463:463

669:3x 223

669:3x 223

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

3x 3x 3x 223 = 6021

Therefore, the value for common factors is 6021.

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 = 56128639331952/(1x6021)

LCM = 56128639331952/6021

LCM = 9322145712

Thus, we can understand that the LCM of 432,627,463,669,669 is 9322145712.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 432, 627, 463, 669, 669

1. What is the LCM of 432, 627, 463, 669, 669?

Answer: LCM of 432, 627, 463, 669, 669 is 9322145712.

2. How to calculate the LCM of 432, 627, 463, 669, 669?

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 432, 627, 463, 669, 669.

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}.