Find the LCM of 209, 284, 947, 712, 214 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 209, 284, 947, 712, 214. So, keep reading to learn more.
Given numbers are 209,284,947,712,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 209,284,947,712,214 is 1070578174072.
Find LCM of 209,284,947,712,214 with Prime Factorization
2 | 209, 284, 947, 712, 214 |
2 | 209, 142, 947, 356, 107 |
209, 71, 947, 178, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 209 x 71 x 947 x 178 x 107 = 1070578174072
Therefore, the lowest common multiple of 209,284,947,712,214 is 1070578174072.
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.
209 x 284 x 947 x 712 x 214 = 8564625392576
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.
209 : 1, 11, 19, 209
284 : 1, 2, 4, 71, 142, 284
947 : 1, 947
712 : 1, 2, 4, 8, 89, 178, 356, 712
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,284,947,712,214, is 1.
Now, the common factors can be found like this.
209:11x 19
284:2x 2x 71
947:947
712:2x 2x 2x 89
214:2x 107
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 2 = 8
Therefore, the value for common factors is 8.
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 = 8564625392576/(1x8)
LCM = 8564625392576/8
LCM = 1070578174072
Thus, we can understand that the LCM of 209,284,947,712,214 is 1070578174072.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 209, 284, 947, 712, 214?
Answer: LCM of 209, 284, 947, 712, 214 is 1070578174072.
2. How to calculate the LCM of 209, 284, 947, 712, 214?
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 209, 284, 947, 712, 214.
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}.