Find the LCM of 308, 510, 627, 906, 285 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 308, 510, 627, 906, 285. So, keep reading to learn more.
Given numbers are 308,510,627,906,285
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,510,627,906,285 is 225331260.
Find LCM of 308,510,627,906,285 with Prime Factorization
2 | 308, 510, 627, 906, 285 |
3 | 154, 255, 627, 453, 285 |
5 | 154, 85, 209, 151, 95 |
11 | 154, 17, 209, 151, 19 |
19 | 14, 17, 19, 151, 19 |
14, 17, 1, 151, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 19 x 14 x 17 x 1 x 151 x 1 = 225331260
Therefore, the lowest common multiple of 308,510,627,906,285 is 225331260.
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.
308 x 510 x 627 x 906 x 285 = 25430886003600
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
627 : 1, 3, 11, 19, 33, 57, 209, 627
906 : 1, 2, 3, 6, 151, 302, 453, 906
285 : 1, 3, 5, 15, 19, 57, 95, 285
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,510,627,906,285, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
510:2x 3x 5x 17
627:3x 11x 19
906:2x 3x 151
285:3x 5x 19
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 5x 11x 19 = 112860
Therefore, the value for common factors is 112860.
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 = 25430886003600/(1x112860)
LCM = 25430886003600/112860
LCM = 225331260
Thus, we can understand that the LCM of 308,510,627,906,285 is 225331260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 308, 510, 627, 906, 285?
Answer: LCM of 308, 510, 627, 906, 285 is 225331260.
2. How to calculate the LCM of 308, 510, 627, 906, 285?
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 308, 510, 627, 906, 285.
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}.