Find the LCM of 514, 601, 726, 642, 312 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 514, 601, 726, 642, 312. So, keep reading to learn more.
Given numbers are 514,601,726,642,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,601,726,642,312 is 623923491048.
Find LCM of 514,601,726,642,312 with Prime Factorization
2 | 514, 601, 726, 642, 312 |
3 | 257, 601, 363, 321, 156 |
257, 601, 121, 107, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 257 x 601 x 121 x 107 x 52 = 623923491048
Therefore, the lowest common multiple of 514,601,726,642,312 is 623923491048.
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.
514 x 601 x 726 x 642 x 312 = 44922491355456
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.
514 : 1, 2, 257, 514
601 : 1, 601
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
642 : 1, 2, 3, 6, 107, 214, 321, 642
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,601,726,642,312, is 1.
Now, the common factors can be found like this.
514:2x 257
601:601
726:2x 3x 11x 11
642:2x 3x 107
312:2x 2x 2x 3x 13
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 44922491355456/(1x72)
LCM = 44922491355456/72
LCM = 623923491048
Thus, we can understand that the LCM of 514,601,726,642,312 is 623923491048.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 514, 601, 726, 642, 312?
Answer: LCM of 514, 601, 726, 642, 312 is 623923491048.
2. How to calculate the LCM of 514, 601, 726, 642, 312?
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 514, 601, 726, 642, 312.
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}.