Find the LCM of 809, 274, 432, 324, 678 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 809, 274, 432, 324, 678. So, keep reading to learn more.
Given numbers are 809,274,432,324,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 809,274,432,324,678 is 16231271184.
Find LCM of 809,274,432,324,678 with Prime Factorization
2 | 809, 274, 432, 324, 678 |
2 | 809, 137, 216, 162, 339 |
3 | 809, 137, 108, 81, 339 |
3 | 809, 137, 36, 27, 113 |
3 | 809, 137, 12, 9, 113 |
809, 137, 4, 3, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 809 x 137 x 4 x 3 x 113 = 16231271184
Therefore, the lowest common multiple of 809,274,432,324,678 is 16231271184.
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.
809 x 274 x 432 x 324 x 678 = 21035727454464
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.
809 : 1, 809
274 : 1, 2, 137, 274
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,274,432,324,678, is 1.
Now, the common factors can be found like this.
809:809
274:2x 137
432:2x 2x 2x 2x 3x 3x 3
324:2x 2x 3x 3x 3x 3
678:2x 3x 113
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 2x 3x 3x 3x 3 = 1296
Therefore, the value for common factors is 1296.
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 = 21035727454464/(1x1296)
LCM = 21035727454464/1296
LCM = 16231271184
Thus, we can understand that the LCM of 809,274,432,324,678 is 16231271184.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 809, 274, 432, 324, 678?
Answer: LCM of 809, 274, 432, 324, 678 is 16231271184.
2. How to calculate the LCM of 809, 274, 432, 324, 678?
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 809, 274, 432, 324, 678.
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}.