Find the LCM of 209, 365, 407, 482, 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 209, 365, 407, 482, 218. So, keep reading to learn more.
Given numbers are 209,365,407,482,218
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 209,365,407,482,218 is 148290869210.
Find LCM of 209,365,407,482,218 with Prime Factorization
2 | 209, 365, 407, 482, 218 |
11 | 209, 365, 407, 241, 109 |
19, 365, 37, 241, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 365 x 37 x 241 x 109 = 148290869210
Therefore, the lowest common multiple of 209,365,407,482,218 is 148290869210.
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 365 x 407 x 482 x 218 = 3262399122620
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
365 : 1, 5, 73, 365
407 : 1, 11, 37, 407
482 : 1, 2, 241, 482
218 : 1, 2, 109, 218
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,365,407,482,218, is 1.
Now, the common factors can be found like this.
209:11x 19
365:5x 73
407:11x 37
482:2x 241
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 11 = 22
Therefore, the value for common factors is 22.
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 = 3262399122620/(1x22)
LCM = 3262399122620/22
LCM = 148290869210
Thus, we can understand that the LCM of 209,365,407,482,218 is 148290869210.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 209, 365, 407, 482, 218?
Answer: LCM of 209, 365, 407, 482, 218 is 148290869210.
2. How to calculate the LCM of 209, 365, 407, 482, 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 209, 365, 407, 482, 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}.