Find the LCM of 131, 786, 545 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 131, 786, 545. So, keep reading to learn more.
Given numbers are 131,786,545
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 131,786,545 is 428370.
Find LCM of 131,786,545 with Prime Factorization
131 | 131, 786, 545 |
1, 6, 545 |
Multiply the prime numbers at the bottom and the left side.
131 x 1 x 6 x 545 = 428370
Therefore, the lowest common multiple of 131,786,545 is 428370.
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.
131 x 786 x 545 = 56116470
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.
131 : 1, 131
786 : 1, 2, 3, 6, 131, 262, 393, 786
545 : 1, 5, 109, 545
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 131,786,545, is 1.
Now, the common factors can be found like this.
131:131
786:2x 3x 131
545:5x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
131 = 131
Therefore, the value for common factors is 131.
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 = 56116470/(1x131)
LCM = 56116470/131
LCM = 428370
Thus, we can understand that the LCM of 131,786,545 is 428370.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 131, 786, 545?
Answer: LCM of 131, 786, 545 is 428370.
2. How to calculate the LCM of 131, 786, 545?
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 131, 786, 545.
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}.