Find the LCM of 938, 884, 384, 646, 209 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 938, 884, 384, 646, 209. So, keep reading to learn more.
Given numbers are 938,884,384,646,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 938,884,384,646,209 is 8318454144.
Find LCM of 938,884,384,646,209 with Prime Factorization
2 | 938, 884, 384, 646, 209 |
2 | 469, 442, 192, 323, 209 |
17 | 469, 221, 96, 323, 209 |
19 | 469, 13, 96, 19, 209 |
469, 13, 96, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 19 x 469 x 13 x 96 x 1 x 11 = 8318454144
Therefore, the lowest common multiple of 938,884,384,646,209 is 8318454144.
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.
938 x 884 x 384 x 646 x 209 = 42989771016192
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.
938 : 1, 2, 7, 14, 67, 134, 469, 938
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
646 : 1, 2, 17, 19, 34, 38, 323, 646
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 938,884,384,646,209, is 1.
Now, the common factors can be found like this.
938:2x 7x 67
884:2x 2x 13x 17
384:2x 2x 2x 2x 2x 2x 2x 3
646:2x 17x 19
209:11x 19
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 2x 2x 17x 19 = 5168
Therefore, the value for common factors is 5168.
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 = 42989771016192/(1x5168)
LCM = 42989771016192/5168
LCM = 8318454144
Thus, we can understand that the LCM of 938,884,384,646,209 is 8318454144.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 938, 884, 384, 646, 209?
Answer: LCM of 938, 884, 384, 646, 209 is 8318454144.
2. How to calculate the LCM of 938, 884, 384, 646, 209?
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 938, 884, 384, 646, 209.
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}.