Find the LCM of 654, 365, 107, 511 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 654, 365, 107, 511. So, keep reading to learn more.
Given numbers are 654,365,107,511
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,365,107,511 is 178793790.
Find LCM of 654,365,107,511 with Prime Factorization
73 | 654, 365, 107, 511 |
654, 5, 107, 7 |
Multiply the prime numbers at the bottom and the left side.
73 x 654 x 5 x 107 x 7 = 178793790
Therefore, the lowest common multiple of 654,365,107,511 is 178793790.
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.
654 x 365 x 107 x 511 = 13051946670
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.
654 : 1, 2, 3, 6, 109, 218, 327, 654
365 : 1, 5, 73, 365
107 : 1, 107
511 : 1, 7, 73, 511
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,365,107,511, is 1.
Now, the common factors can be found like this.
654:2x 3x 109
365:5x 73
107:107
511:7x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
73 = 73
Therefore, the value for common factors is 73.
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 = 13051946670/(1x73)
LCM = 13051946670/73
LCM = 178793790
Thus, we can understand that the LCM of 654,365,107,511 is 178793790.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 654, 365, 107, 511?
Answer: LCM of 654, 365, 107, 511 is 178793790.
2. How to calculate the LCM of 654, 365, 107, 511?
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 654, 365, 107, 511.
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}.