Find the LCM of 315, 913, 546, 788, 280 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 315, 913, 546, 788, 280. So, keep reading to learn more.
Given numbers are 315,913,546,788,280
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,913,546,788,280 is 5892246360.
Find LCM of 315,913,546,788,280 with Prime Factorization
2 | 315, 913, 546, 788, 280 |
2 | 315, 913, 273, 394, 140 |
3 | 315, 913, 273, 197, 70 |
5 | 105, 913, 91, 197, 70 |
7 | 21, 913, 91, 197, 14 |
3, 913, 13, 197, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 3 x 913 x 13 x 197 x 2 = 5892246360
Therefore, the lowest common multiple of 315,913,546,788,280 is 5892246360.
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.
315 x 913 x 546 x 788 x 280 = 34646408596800
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
913 : 1, 11, 83, 913
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
788 : 1, 2, 4, 197, 394, 788
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,913,546,788,280, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
913:11x 83
546:2x 3x 7x 13
788:2x 2x 197
280:2x 2x 2x 5x 7
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 5x 7x 7 = 5880
Therefore, the value for common factors is 5880.
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 = 34646408596800/(1x5880)
LCM = 34646408596800/5880
LCM = 5892246360
Thus, we can understand that the LCM of 315,913,546,788,280 is 5892246360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 315, 913, 546, 788, 280?
Answer: LCM of 315, 913, 546, 788, 280 is 5892246360.
2. How to calculate the LCM of 315, 913, 546, 788, 280?
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 315, 913, 546, 788, 280.
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}.