Find the LCM of 448, 391, 867, 107 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 448, 391, 867, 107. So, keep reading to learn more.
Given numbers are 448,391,867,107
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 448,391,867,107 is 955891776.
Find LCM of 448,391,867,107 with Prime Factorization
17 | 448, 391, 867, 107 |
448, 23, 51, 107 |
Multiply the prime numbers at the bottom and the left side.
17 x 448 x 23 x 51 x 107 = 955891776
Therefore, the lowest common multiple of 448,391,867,107 is 955891776.
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.
448 x 391 x 867 x 107 = 16250160192
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.
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
391 : 1, 17, 23, 391
867 : 1, 3, 17, 51, 289, 867
107 : 1, 107
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,391,867,107, is 1.
Now, the common factors can be found like this.
448:2x 2x 2x 2x 2x 2x 7
391:17x 23
867:3x 17x 17
107:107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 16250160192/(1x17)
LCM = 16250160192/17
LCM = 955891776
Thus, we can understand that the LCM of 448,391,867,107 is 955891776.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 448, 391, 867, 107?
Answer: LCM of 448, 391, 867, 107 is 955891776.
2. How to calculate the LCM of 448, 391, 867, 107?
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 448, 391, 867, 107.
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}.