Find the LCM of 922, 667, 713, 465 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 922, 667, 713, 465. So, keep reading to learn more.
Given numbers are 922,667,713,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 922,667,713,465 is 285962910.
Find LCM of 922,667,713,465 with Prime Factorization
23 | 922, 667, 713, 465 |
31 | 922, 29, 31, 465 |
922, 29, 1, 15 |
Multiply the prime numbers at the bottom and the left side.
23 x 31 x 922 x 29 x 1 x 15 = 285962910
Therefore, the lowest common multiple of 922,667,713,465 is 285962910.
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.
922 x 667 x 713 x 465 = 203891554830
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.
922 : 1, 2, 461, 922
667 : 1, 23, 29, 667
713 : 1, 23, 31, 713
465 : 1, 3, 5, 15, 31, 93, 155, 465
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 922,667,713,465, is 1.
Now, the common factors can be found like this.
922:2x 461
667:23x 29
713:23x 31
465:3x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23x 31 = 713
Therefore, the value for common factors is 713.
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 = 203891554830/(1x713)
LCM = 203891554830/713
LCM = 285962910
Thus, we can understand that the LCM of 922,667,713,465 is 285962910.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 922, 667, 713, 465?
Answer: LCM of 922, 667, 713, 465 is 285962910.
2. How to calculate the LCM of 922, 667, 713, 465?
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 922, 667, 713, 465.
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}.