Find the LCM of 307, 267, 265, 614 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 307, 267, 265, 614. So, keep reading to learn more.
Given numbers are 307,267,265,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 307,267,265,614 is 43443570.
Find LCM of 307,267,265,614 with Prime Factorization
307 | 307, 267, 265, 614 |
1, 267, 265, 2 |
Multiply the prime numbers at the bottom and the left side.
307 x 1 x 267 x 265 x 2 = 43443570
Therefore, the lowest common multiple of 307,267,265,614 is 43443570.
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.
307 x 267 x 265 x 614 = 13337175990
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.
307 : 1, 307
267 : 1, 3, 89, 267
265 : 1, 5, 53, 265
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 307,267,265,614, is 1.
Now, the common factors can be found like this.
307:307
267:3x 89
265:5x 53
614:2x 307
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
307 = 307
Therefore, the value for common factors is 307.
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 = 13337175990/(1x307)
LCM = 13337175990/307
LCM = 43443570
Thus, we can understand that the LCM of 307,267,265,614 is 43443570.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 307, 267, 265, 614?
Answer: LCM of 307, 267, 265, 614 is 43443570.
2. How to calculate the LCM of 307, 267, 265, 614?
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 307, 267, 265, 614.
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}.