Find the LCM of 912, 464, 723, 739 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, 464, 723, 739. So, keep reading to learn more.
Given numbers are 912,464,723,739
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 912,464,723,739 is 4710362352.
Find LCM of 912,464,723,739 with Prime Factorization
2 | 912, 464, 723, 739 |
2 | 456, 232, 723, 739 |
2 | 228, 116, 723, 739 |
2 | 114, 58, 723, 739 |
3 | 57, 29, 723, 739 |
19, 29, 241, 739 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 19 x 29 x 241 x 739 = 4710362352
Therefore, the lowest common multiple of 912,464,723,739 is 4710362352.
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 464 x 723 x 739 = 226097392896
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
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
723 : 1, 3, 241, 723
739 : 1, 739
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 912,464,723,739, is 1.
Now, the common factors can be found like this.
912:2x 2x 2x 2x 3x 19
464:2x 2x 2x 2x 29
723:3x 241
739:739
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 3 = 48
Therefore, the value for common factors is 48.
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 = 226097392896/(1x48)
LCM = 226097392896/48
LCM = 4710362352
Thus, we can understand that the LCM of 912,464,723,739 is 4710362352.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 912, 464, 723, 739?
Answer: LCM of 912, 464, 723, 739 is 4710362352.
2. How to calculate the LCM of 912, 464, 723, 739?
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, 464, 723, 739.
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}.