Find the LCM of 431, 208, 604, 862, 867 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 431, 208, 604, 862, 867. So, keep reading to learn more.
Given numbers are 431,208,604,862,867
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 431,208,604,862,867 is 11736447216.
Find LCM of 431,208,604,862,867 with Prime Factorization
2 | 431, 208, 604, 862, 867 |
2 | 431, 104, 302, 431, 867 |
431 | 431, 52, 151, 431, 867 |
1, 52, 151, 1, 867 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 431 x 1 x 52 x 151 x 1 x 867 = 11736447216
Therefore, the lowest common multiple of 431,208,604,862,867 is 11736447216.
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.
431 x 208 x 604 x 862 x 867 = 40467270000768
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.
431 : 1, 431
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
604 : 1, 2, 4, 151, 302, 604
862 : 1, 2, 431, 862
867 : 1, 3, 17, 51, 289, 867
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,208,604,862,867, is 1.
Now, the common factors can be found like this.
431:431
208:2x 2x 2x 2x 13
604:2x 2x 151
862:2x 431
867:3x 17x 17
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 431 = 3448
Therefore, the value for common factors is 3448.
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 = 40467270000768/(1x3448)
LCM = 40467270000768/3448
LCM = 11736447216
Thus, we can understand that the LCM of 431,208,604,862,867 is 11736447216.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 431, 208, 604, 862, 867?
Answer: LCM of 431, 208, 604, 862, 867 is 11736447216.
2. How to calculate the LCM of 431, 208, 604, 862, 867?
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 431, 208, 604, 862, 867.
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}.