Find the LCM of 489, 947, 215, 947 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 489, 947, 215, 947. So, keep reading to learn more.
Given numbers are 489,947,215,947
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 489,947,215,947 is 99562845.
Find LCM of 489,947,215,947 with Prime Factorization
947 | 489, 947, 215, 947 |
489, 1, 215, 1 |
Multiply the prime numbers at the bottom and the left side.
947 x 489 x 1 x 215 x 1 = 99562845
Therefore, the lowest common multiple of 489,947,215,947 is 99562845.
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.
489 x 947 x 215 x 947 = 94286014215
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.
489 : 1, 3, 163, 489
947 : 1, 947
215 : 1, 5, 43, 215
947 : 1, 947
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,947,215,947, is 1.
Now, the common factors can be found like this.
489:3x 163
947:947
215:5x 43
947:947
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
947 = 947
Therefore, the value for common factors is 947.
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 = 94286014215/(1x947)
LCM = 94286014215/947
LCM = 99562845
Thus, we can understand that the LCM of 489,947,215,947 is 99562845.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 489, 947, 215, 947?
Answer: LCM of 489, 947, 215, 947 is 99562845.
2. How to calculate the LCM of 489, 947, 215, 947?
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 489, 947, 215, 947.
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}.