Find the LCM of 676, 927, 808, 468, 324 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 676, 927, 808, 468, 324. So, keep reading to learn more.
Given numbers are 676,927,808,468,324
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,927,808,468,324 is 1139253336.
Find LCM of 676,927,808,468,324 with Prime Factorization
2 | 676, 927, 808, 468, 324 |
2 | 338, 927, 404, 234, 162 |
3 | 169, 927, 202, 117, 81 |
3 | 169, 309, 202, 39, 27 |
13 | 169, 103, 202, 13, 9 |
1, 103, 202, 13, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 1 x 103 x 202 x 13 x 9 = 1139253336
Therefore, the lowest common multiple of 676,927,808,468,324 is 1139253336.
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.
676 x 927 x 808 x 468 x 324 = 76776560819712
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
927 : 1, 3, 9, 103, 309, 927
808 : 1, 2, 4, 8, 101, 202, 404, 808
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,927,808,468,324, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
927:3x 3x 103
808:2x 2x 2x 101
468:2x 2x 3x 3x 13
324:2x 2x 3x 3x 3x 3
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 2x 2x 3x 3x 3x 3x 13 = 67392
Therefore, the value for common factors is 67392.
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 = 76776560819712/(1x67392)
LCM = 76776560819712/67392
LCM = 1139253336
Thus, we can understand that the LCM of 676,927,808,468,324 is 1139253336.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 676, 927, 808, 468, 324?
Answer: LCM of 676, 927, 808, 468, 324 is 1139253336.
2. How to calculate the LCM of 676, 927, 808, 468, 324?
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 676, 927, 808, 468, 324.
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}.