Find the LCM of 315, 807, 516, 780, 257 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, 807, 516, 780, 257. So, keep reading to learn more.
Given numbers are 315,807,516,780,257
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,807,516,780,257 is 48693137220.
Find LCM of 315,807,516,780,257 with Prime Factorization
2 | 315, 807, 516, 780, 257 |
2 | 315, 807, 258, 390, 257 |
3 | 315, 807, 129, 195, 257 |
5 | 105, 269, 43, 65, 257 |
21, 269, 43, 13, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 21 x 269 x 43 x 13 x 257 = 48693137220
Therefore, the lowest common multiple of 315,807,516,780,257 is 48693137220.
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 807 x 516 x 780 x 257 = 26294294098800
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
807 : 1, 3, 269, 807
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
257 : 1, 257
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,807,516,780,257, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
807:3x 269
516:2x 2x 3x 43
780:2x 2x 3x 5x 13
257:257
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 3x 3x 3x 5 = 540
Therefore, the value for common factors is 540.
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 = 26294294098800/(1x540)
LCM = 26294294098800/540
LCM = 48693137220
Thus, we can understand that the LCM of 315,807,516,780,257 is 48693137220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 315, 807, 516, 780, 257?
Answer: LCM of 315, 807, 516, 780, 257 is 48693137220.
2. How to calculate the LCM of 315, 807, 516, 780, 257?
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, 807, 516, 780, 257.
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}.