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