Find the LCM of 296, 614, 754, 746, 756 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 296, 614, 754, 746, 756. So, keep reading to learn more.
Given numbers are 296,614,754,746,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 296,614,754,746,756 is 2415138675768.
Find LCM of 296,614,754,746,756 with Prime Factorization
2 | 296, 614, 754, 746, 756 |
2 | 148, 307, 377, 373, 378 |
74, 307, 377, 373, 189 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 74 x 307 x 377 x 373 x 189 = 2415138675768
Therefore, the lowest common multiple of 296,614,754,746,756 is 2415138675768.
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.
296 x 614 x 754 x 746 x 756 = 77284437624576
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.
296 : 1, 2, 4, 8, 37, 74, 148, 296
614 : 1, 2, 307, 614
754 : 1, 2, 13, 26, 29, 58, 377, 754
746 : 1, 2, 373, 746
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,614,754,746,756, is 2.
Now, the common factors can be found like this.
296:2x 2x 2x 37
614:2x 307
754:2x 13x 29
746:2x 373
756:2x 2x 3x 3x 3x 7
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 2 = 16
Therefore, the value for common factors is 16.
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 = 77284437624576/(2x16)
LCM = 77284437624576/32
LCM = 2415138675768
Thus, we can understand that the LCM of 296,614,754,746,756 is 2415138675768.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 296, 614, 754, 746, 756?
Answer: LCM of 296, 614, 754, 746, 756 is 2415138675768.
2. How to calculate the LCM of 296, 614, 754, 746, 756?
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 296, 614, 754, 746, 756.
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}.