Find the LCM of 431, 792, 204, 307 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, 792, 204, 307. So, keep reading to learn more.
Given numbers are 431,792,204,307
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 431,792,204,307 is 1781516088.
Find LCM of 431,792,204,307 with Prime Factorization
2 | 431, 792, 204, 307 |
2 | 431, 396, 102, 307 |
3 | 431, 198, 51, 307 |
431, 66, 17, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 431 x 66 x 17 x 307 = 1781516088
Therefore, the lowest common multiple of 431,792,204,307 is 1781516088.
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 792 x 204 x 307 = 21378193056
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
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
307 : 1, 307
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,792,204,307, is 1.
Now, the common factors can be found like this.
431:431
792:2x 2x 2x 3x 3x 11
204:2x 2x 3x 17
307:307
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 3 = 12
Therefore, the value for common factors is 12.
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 = 21378193056/(1x12)
LCM = 21378193056/12
LCM = 1781516088
Thus, we can understand that the LCM of 431,792,204,307 is 1781516088.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 431, 792, 204, 307?
Answer: LCM of 431, 792, 204, 307 is 1781516088.
2. How to calculate the LCM of 431, 792, 204, 307?
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, 792, 204, 307.
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}.