Find the LCM of 303, 583, 308, 901, 812 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 303, 583, 308, 901, 812. So, keep reading to learn more.
Given numbers are 303,583,308,901,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 303,583,308,901,812 is 2438462796.
Find LCM of 303,583,308,901,812 with Prime Factorization
2 | 303, 583, 308, 901, 812 |
2 | 303, 583, 154, 901, 406 |
7 | 303, 583, 77, 901, 203 |
11 | 303, 583, 11, 901, 29 |
53 | 303, 53, 1, 901, 29 |
303, 1, 1, 17, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 53 x 303 x 1 x 1 x 17 x 29 = 2438462796
Therefore, the lowest common multiple of 303,583,308,901,812 is 2438462796.
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.
303 x 583 x 308 x 901 x 812 = 39805466681904
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.
303 : 1, 3, 101, 303
583 : 1, 11, 53, 583
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
901 : 1, 17, 53, 901
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,583,308,901,812, is 1.
Now, the common factors can be found like this.
303:3x 101
583:11x 53
308:2x 2x 7x 11
901:17x 53
812:2x 2x 7x 29
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 7x 11x 53 = 16324
Therefore, the value for common factors is 16324.
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 = 39805466681904/(1x16324)
LCM = 39805466681904/16324
LCM = 2438462796
Thus, we can understand that the LCM of 303,583,308,901,812 is 2438462796.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 303, 583, 308, 901, 812?
Answer: LCM of 303, 583, 308, 901, 812 is 2438462796.
2. How to calculate the LCM of 303, 583, 308, 901, 812?
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 303, 583, 308, 901, 812.
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}.