Find the LCM of 780, 589, 487, 437, 446 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 780, 589, 487, 437, 446. So, keep reading to learn more.
Given numbers are 780,589,487,437,446
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 780,589,487,437,446 is 1147549842660.
Find LCM of 780,589,487,437,446 with Prime Factorization
2 | 780, 589, 487, 437, 446 |
19 | 390, 589, 487, 437, 223 |
390, 31, 487, 23, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 390 x 31 x 487 x 23 x 223 = 1147549842660
Therefore, the lowest common multiple of 780,589,487,437,446 is 1147549842660.
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.
780 x 589 x 487 x 437 x 446 = 43606894021080
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.
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
589 : 1, 19, 31, 589
487 : 1, 487
437 : 1, 19, 23, 437
446 : 1, 2, 223, 446
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,589,487,437,446, is 1.
Now, the common factors can be found like this.
780:2x 2x 3x 5x 13
589:19x 31
487:487
437:19x 23
446:2x 223
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19 = 38
Therefore, the value for common factors is 38.
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 = 43606894021080/(1x38)
LCM = 43606894021080/38
LCM = 1147549842660
Thus, we can understand that the LCM of 780,589,487,437,446 is 1147549842660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 780, 589, 487, 437, 446?
Answer: LCM of 780, 589, 487, 437, 446 is 1147549842660.
2. How to calculate the LCM of 780, 589, 487, 437, 446?
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 780, 589, 487, 437, 446.
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}.