Find the LCM of 111, 976, 624, 897, 391 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 111, 976, 624, 897, 391. So, keep reading to learn more.
Given numbers are 111,976,624,897,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 111,976,624,897,391 is 550671888.
Find LCM of 111,976,624,897,391 with Prime Factorization
2 | 111, 976, 624, 897, 391 |
2 | 111, 488, 312, 897, 391 |
2 | 111, 244, 156, 897, 391 |
2 | 111, 122, 78, 897, 391 |
3 | 111, 61, 39, 897, 391 |
13 | 37, 61, 13, 299, 391 |
23 | 37, 61, 1, 23, 391 |
37, 61, 1, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 13 x 23 x 37 x 61 x 1 x 1 x 17 = 550671888
Therefore, the lowest common multiple of 111,976,624,897,391 is 550671888.
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.
111 x 976 x 624 x 897 x 391 = 23709728809728
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.
111 : 1, 3, 37, 111
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
897 : 1, 3, 13, 23, 39, 69, 299, 897
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 111,976,624,897,391, is 1.
Now, the common factors can be found like this.
111:3x 37
976:2x 2x 2x 2x 61
624:2x 2x 2x 2x 3x 13
897:3x 13x 23
391:17x 23
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 3x 3x 13x 23 = 43056
Therefore, the value for common factors is 43056.
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 = 23709728809728/(1x43056)
LCM = 23709728809728/43056
LCM = 550671888
Thus, we can understand that the LCM of 111,976,624,897,391 is 550671888.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 111, 976, 624, 897, 391?
Answer: LCM of 111, 976, 624, 897, 391 is 550671888.
2. How to calculate the LCM of 111, 976, 624, 897, 391?
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 111, 976, 624, 897, 391.
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}.