Find the LCM of 339, 891, 989, 368, 222 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 339, 891, 989, 368, 222. So, keep reading to learn more.
Given numbers are 339,891,989,368,222
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,891,989,368,222 is 58948688304.
Find LCM of 339,891,989,368,222 with Prime Factorization
2 | 339, 891, 989, 368, 222 |
3 | 339, 891, 989, 184, 111 |
23 | 113, 297, 989, 184, 37 |
113, 297, 43, 8, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 113 x 297 x 43 x 8 x 37 = 58948688304
Therefore, the lowest common multiple of 339,891,989,368,222 is 58948688304.
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.
339 x 891 x 989 x 368 x 222 = 24404756957856
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.
339 : 1, 3, 113, 339
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
989 : 1, 23, 43, 989
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
222 : 1, 2, 3, 6, 37, 74, 111, 222
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,891,989,368,222, is 1.
Now, the common factors can be found like this.
339:3x 113
891:3x 3x 3x 3x 11
989:23x 43
368:2x 2x 2x 2x 23
222:2x 3x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 23 = 414
Therefore, the value for common factors is 414.
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 = 24404756957856/(1x414)
LCM = 24404756957856/414
LCM = 58948688304
Thus, we can understand that the LCM of 339,891,989,368,222 is 58948688304.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 339, 891, 989, 368, 222?
Answer: LCM of 339, 891, 989, 368, 222 is 58948688304.
2. How to calculate the LCM of 339, 891, 989, 368, 222?
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 339, 891, 989, 368, 222.
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}.