Find the LCM of 127, 766, 209, 407, 675 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 127, 766, 209, 407, 675. So, keep reading to learn more.
Given numbers are 127,766,209,407,675
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 127,766,209,407,675 is 507790151550.
Find LCM of 127,766,209,407,675 with Prime Factorization
11 | 127, 766, 209, 407, 675 |
127, 766, 19, 37, 675 |
Multiply the prime numbers at the bottom and the left side.
11 x 127 x 766 x 19 x 37 x 675 = 507790151550
Therefore, the lowest common multiple of 127,766,209,407,675 is 507790151550.
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.
127 x 766 x 209 x 407 x 675 = 5585691667050
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.
127 : 1, 127
766 : 1, 2, 383, 766
209 : 1, 11, 19, 209
407 : 1, 11, 37, 407
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 127,766,209,407,675, is 1.
Now, the common factors can be found like this.
127:127
766:2x 383
209:11x 19
407:11x 37
675:3x 3x 3x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 5585691667050/(1x11)
LCM = 5585691667050/11
LCM = 507790151550
Thus, we can understand that the LCM of 127,766,209,407,675 is 507790151550.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 127, 766, 209, 407, 675?
Answer: LCM of 127, 766, 209, 407, 675 is 507790151550.
2. How to calculate the LCM of 127, 766, 209, 407, 675?
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 127, 766, 209, 407, 675.
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}.