Find the LCM of 947, 722, 218, 218 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 947, 722, 218, 218. So, keep reading to learn more.
Given numbers are 947,722,218,218
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 947,722,218,218 is 74527006.
Find LCM of 947,722,218,218 with Prime Factorization
2 | 947, 722, 218, 218 |
109 | 947, 361, 109, 109 |
947, 361, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 109 x 947 x 361 x 1 x 1 = 74527006
Therefore, the lowest common multiple of 947,722,218,218 is 74527006.
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.
947 x 722 x 218 x 218 = 32493774616
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.
947 : 1, 947
722 : 1, 2, 19, 38, 361, 722
218 : 1, 2, 109, 218
218 : 1, 2, 109, 218
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 947,722,218,218, is 1.
Now, the common factors can be found like this.
947:947
722:2x 19x 19
218:2x 109
218:2x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 109 = 436
Therefore, the value for common factors is 436.
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 = 32493774616/(1x436)
LCM = 32493774616/436
LCM = 74527006
Thus, we can understand that the LCM of 947,722,218,218 is 74527006.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 947, 722, 218, 218?
Answer: LCM of 947, 722, 218, 218 is 74527006.
2. How to calculate the LCM of 947, 722, 218, 218?
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 947, 722, 218, 218.
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}.