Find the LCM of 908, 969, 201, 418, 680 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 908, 969, 201, 418, 680. So, keep reading to learn more.
Given numbers are 908,969,201,418,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 908,969,201,418,680 is 6484509240.
Find LCM of 908,969,201,418,680 with Prime Factorization
2 | 908, 969, 201, 418, 680 |
2 | 454, 969, 201, 209, 340 |
3 | 227, 969, 201, 209, 170 |
17 | 227, 323, 67, 209, 170 |
19 | 227, 19, 67, 209, 10 |
227, 1, 67, 11, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 19 x 227 x 1 x 67 x 11 x 10 = 6484509240
Therefore, the lowest common multiple of 908,969,201,418,680 is 6484509240.
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.
908 x 969 x 201 x 418 x 680 = 50267915628480
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.
908 : 1, 2, 4, 227, 454, 908
969 : 1, 3, 17, 19, 51, 57, 323, 969
201 : 1, 3, 67, 201
418 : 1, 2, 11, 19, 22, 38, 209, 418
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 908,969,201,418,680, is 1.
Now, the common factors can be found like this.
908:2x 2x 227
969:3x 17x 19
201:3x 67
418:2x 11x 19
680:2x 2x 2x 5x 17
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 17x 19 = 7752
Therefore, the value for common factors is 7752.
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 = 50267915628480/(1x7752)
LCM = 50267915628480/7752
LCM = 6484509240
Thus, we can understand that the LCM of 908,969,201,418,680 is 6484509240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 908, 969, 201, 418, 680?
Answer: LCM of 908, 969, 201, 418, 680 is 6484509240.
2. How to calculate the LCM of 908, 969, 201, 418, 680?
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 908, 969, 201, 418, 680.
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}.