Find the LCM of 786, 649, 413, 300, 881 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 786, 649, 413, 300, 881. So, keep reading to learn more.
Given numbers are 786,649,413,300,881
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 786,649,413,300,881 is 157293651900.
Find LCM of 786,649,413,300,881 with Prime Factorization
2 | 786, 649, 413, 300, 881 |
3 | 393, 649, 413, 150, 881 |
59 | 131, 649, 413, 50, 881 |
131, 11, 7, 50, 881 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 59 x 131 x 11 x 7 x 50 x 881 = 157293651900
Therefore, the lowest common multiple of 786,649,413,300,881 is 157293651900.
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.
786 x 649 x 413 x 300 x 881 = 55681952772600
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.
786 : 1, 2, 3, 6, 131, 262, 393, 786
649 : 1, 11, 59, 649
413 : 1, 7, 59, 413
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
881 : 1, 881
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,649,413,300,881, is 1.
Now, the common factors can be found like this.
786:2x 3x 131
649:11x 59
413:7x 59
300:2x 2x 3x 5x 5
881:881
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 59 = 354
Therefore, the value for common factors is 354.
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 = 55681952772600/(1x354)
LCM = 55681952772600/354
LCM = 157293651900
Thus, we can understand that the LCM of 786,649,413,300,881 is 157293651900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 786, 649, 413, 300, 881?
Answer: LCM of 786, 649, 413, 300, 881 is 157293651900.
2. How to calculate the LCM of 786, 649, 413, 300, 881?
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 786, 649, 413, 300, 881.
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}.