Find the LCM of 613, 460, 667, 447 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 613, 460, 667, 447. So, keep reading to learn more.
Given numbers are 613,460,667,447
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 613,460,667,447 is 3655306740.
Find LCM of 613,460,667,447 with Prime Factorization
23 | 613, 460, 667, 447 |
613, 20, 29, 447 |
Multiply the prime numbers at the bottom and the left side.
23 x 613 x 20 x 29 x 447 = 3655306740
Therefore, the lowest common multiple of 613,460,667,447 is 3655306740.
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.
613 x 460 x 667 x 447 = 84072055020
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.
613 : 1, 613
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
667 : 1, 23, 29, 667
447 : 1, 3, 149, 447
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 613,460,667,447, is 1.
Now, the common factors can be found like this.
613:613
460:2x 2x 5x 23
667:23x 29
447:3x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23 = 23
Therefore, the value for common factors is 23.
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 = 84072055020/(1x23)
LCM = 84072055020/23
LCM = 3655306740
Thus, we can understand that the LCM of 613,460,667,447 is 3655306740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 613, 460, 667, 447?
Answer: LCM of 613, 460, 667, 447 is 3655306740.
2. How to calculate the LCM of 613, 460, 667, 447?
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 613, 460, 667, 447.
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}.