Find the LCM of 303, 480, 408, 505, 253 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, 480, 408, 505, 253. So, keep reading to learn more.
Given numbers are 303,480,408,505,253
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 303,480,408,505,253 is 208512480.
Find LCM of 303,480,408,505,253 with Prime Factorization
2 | 303, 480, 408, 505, 253 |
2 | 303, 240, 204, 505, 253 |
2 | 303, 120, 102, 505, 253 |
3 | 303, 60, 51, 505, 253 |
5 | 101, 20, 17, 505, 253 |
101 | 101, 4, 17, 101, 253 |
1, 4, 17, 1, 253 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 101 x 1 x 4 x 17 x 1 x 253 = 208512480
Therefore, the lowest common multiple of 303,480,408,505,253 is 208512480.
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 480 x 408 x 505 x 253 = 7581513772800
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
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
505 : 1, 5, 101, 505
253 : 1, 11, 23, 253
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,480,408,505,253, is 1.
Now, the common factors can be found like this.
303:3x 101
480:2x 2x 2x 2x 2x 3x 5
408:2x 2x 2x 3x 17
505:5x 101
253:11x 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 3x 3x 5x 101 = 36360
Therefore, the value for common factors is 36360.
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 = 7581513772800/(1x36360)
LCM = 7581513772800/36360
LCM = 208512480
Thus, we can understand that the LCM of 303,480,408,505,253 is 208512480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 303, 480, 408, 505, 253?
Answer: LCM of 303, 480, 408, 505, 253 is 208512480.
2. How to calculate the LCM of 303, 480, 408, 505, 253?
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, 480, 408, 505, 253.
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}.