Find the LCM of 912, 390, 969, 414, 977 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 912, 390, 969, 414, 977. So, keep reading to learn more.
Given numbers are 912,390,969,414,977
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 912,390,969,414,977 is 67936124880.
Find LCM of 912,390,969,414,977 with Prime Factorization
2 | 912, 390, 969, 414, 977 |
3 | 456, 195, 969, 207, 977 |
19 | 152, 65, 323, 69, 977 |
8, 65, 17, 69, 977 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 8 x 65 x 17 x 69 x 977 = 67936124880
Therefore, the lowest common multiple of 912,390,969,414,977 is 67936124880.
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.
912 x 390 x 969 x 414 x 977 = 139404928253760
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.
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
969 : 1, 3, 17, 19, 51, 57, 323, 969
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
977 : 1, 977
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 912,390,969,414,977, is 1.
Now, the common factors can be found like this.
912:2x 2x 2x 2x 3x 19
390:2x 3x 5x 13
969:3x 17x 19
414:2x 3x 3x 23
977:977
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 3x 3x 3x 19 = 2052
Therefore, the value for common factors is 2052.
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 = 139404928253760/(1x2052)
LCM = 139404928253760/2052
LCM = 67936124880
Thus, we can understand that the LCM of 912,390,969,414,977 is 67936124880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 912, 390, 969, 414, 977?
Answer: LCM of 912, 390, 969, 414, 977 is 67936124880.
2. How to calculate the LCM of 912, 390, 969, 414, 977?
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 912, 390, 969, 414, 977.
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}.